From f50403c44a9a88fa0a2f87a2a4aa0cf5fb463da8 Mon Sep 17 00:00:00 2001 From: Paul Shen Date: Wed, 14 Feb 2024 13:12:43 -0500 Subject: [PATCH 1/3] --- makedocs/src/index.md | 3 --- 1 file changed, 3 deletions(-) diff --git a/makedocs/src/index.md b/makedocs/src/index.md index e038ab5..0d9799c 100644 --- a/makedocs/src/index.md +++ b/makedocs/src/index.md @@ -9,9 +9,6 @@ Differentiable FDTD package for inverse design & topology optimization in photon ### Quarter wavelength antenna ![](assets/3d_quarter_wavelength_antenna_nres_16.mp4) ### Inverse design of compact silicon photonic splitter (coming soon) - - - ## Quickstart We do a quick 3d simulation of plane wave scattering on periodic array of dielectric spheres (first gallery movie) From 4b24c2289db29cd71995c5a7b2347df68e7c65ec Mon Sep 17 00:00:00 2001 From: Paul Shen Date: Wed, 14 Feb 2024 13:53:40 -0500 Subject: [PATCH 2/3] --- docs/.documenter-siteinfo.json | 2 +- docs/index.html | 6 +++--- docs/search_index.js | 2 +- makedocs/docs.bat | 4 ++++ makedocs/make.jl | 4 +--- 5 files changed, 10 insertions(+), 8 deletions(-) create mode 100644 makedocs/docs.bat diff --git a/docs/.documenter-siteinfo.json b/docs/.documenter-siteinfo.json index a0ff54c..8dd00eb 100644 --- a/docs/.documenter-siteinfo.json +++ b/docs/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-14T12:24:44","documenter_version":"1.2.1"}} \ No newline at end of file +{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-14T13:45:29","documenter_version":"1.2.1"}} \ No newline at end of file diff --git a/docs/index.html b/docs/index.html index 888c81a..2a3b5f8 100644 --- a/docs/index.html +++ b/docs/index.html @@ -1,5 +1,5 @@ -FDTDEngine.jl · FDTDEngine.jl

FDTDEngine.jl

First stable release with GPU support planned for end of 02/2024. Currently Prerelease. Expect breaking changes Only 3d works in latest patch. 2d/1d will be fixed in future.

Overview

Differentiable FDTD package for inverse design & topology optimization in photonics, acoustics and RF. Uses automatic differentiation by Zygote.jl for adjoint optimization. Integrates with Jello.jl to generate length scale controlled paramaterized geometry . Staggered Yee grid update with fully featured boundary conditions & sources. Customizable physics to potentially incorporate dynamics like heat transfer, charge transport.

Periodic scattering

Quarter wavelength antenna

Inverse design of compact silicon photonic splitter (coming soon)

<!– In progress, split ratio isn't correct –> <!– –> <!– –>

Quickstart

We do a quick 3d simulation of plane wave scattering on periodic array of dielectric spheres (first gallery movie)

using UnPack, LinearAlgebra, GLMakie
+FDTDEngine.jl · FDTDEngine.jl

FDTDEngine.jl

First stable release with GPU support planned for end of 02/2024. Currently Prerelease. Expect breaking changes Only 3d works in latest patch. 2d/1d will be fixed in future.

Overview

Differentiable FDTD package for inverse design & topology optimization in photonics, acoustics and RF. Uses automatic differentiation by Zygote.jl for adjoint optimization. Integrates with Jello.jl to generate length scale controlled paramaterized geometry . Staggered Yee grid update with fully featured boundary conditions & sources. Customizable physics to potentially incorporate dynamics like heat transfer, charge transport.

Periodic scattering

Quarter wavelength antenna

Inverse design of compact silicon photonic splitter (coming soon)

Quickstart

We do a quick 3d simulation of plane wave scattering on periodic array of dielectric spheres (first gallery movie)

using UnPack, LinearAlgebra, GLMakie
 using FDTDEngine,FDTDToolkit
 
 name = "3d_scattering"
@@ -58,5 +58,5 @@
     axis1=(; title="$name\nEz"),
     axis2=(; title="monitor powers"),
 )

Installation

Install via

Pkg.add(url="https://github.com/paulxshen/FDTDEngine.jl")
-Pkg.add(url="https://github.com/paulxshen/FDTDToolkit.jl")

FDTDToolkit.jl contains visualization utilities

Implementation

Supports 1d (Ez, Hy), 2d TMz (Ez, Hx, Hy), 2d TEz (Hz, Ex, Ey) and 3d. Length and time are in units of wavelength and period. This normalization allows usage of relative permitivity and permeability in equations . Fields including electric, magnetic and current density are simply bundled as a vector of vectors of arrays . Boundary conditions pad the field arrays . PML paddings are multilayered, while All other boundaries add single layers. Paddings are stateful and permanent, increasing the size of field and geometry arrays. Finite differencing happens every update step and are coordinated to implictly implement a staggered Yee's grid .

Sources

If a source has fewer nonzero dimensions than the simulation domain, its signal will get normalized along its singleton dimensions. For example, all planar sources in 3d or line sources in 2d will get scaled up by a factor of 1/dx. This way, discretisation would not affect radiated power.

PlaneWaveType
function PlaneWave(f, dims; fields...)

Constructs plane wave source

Args

  • f: time function
  • dims: eg -1 for wave coming from -x face
  • fields: which fields to excite & their scaling constants (typically a current source, eg Jz=1)
source
SourceType
function Source(f, c, lb, ub, label=""; fields...)
-function Source(f, c, L, label=""; fields...)

Constructs custom source. Can be used to specify uniform or modal sources

Args

  • f: time function
  • c: origin or center of source
  • lb: lower bounds wrt to c
  • ub: upper bounds wrt to c
  • L: source dimensions in [wavelengths]
  • fields: which fields to excite & their scaling constants (typically a current source, eg Jz=1)
source

<!– GaussianBeam –>

Boundaries

Unspecified boundaries default to PML

PMLType
function PML(dims, d=0.25f0, σ=20.0f0)

Constructs perfectly matched layers (PML aka ABC, RBC) boundary of depth d wavelengths Doesn't need to be explictly declared as all unspecified boundaries default to PML

source
PECType
PEC(dims)

perfect electrical conductor dims: eg -1 for -x side

source
PMCType
PMC(dims)

perfect magnetic conductor

source

Monitors

MonitorType
function Monitor(c, L, n=nothing)

Constructs monitor which can span a point, line, surface, or volume monitoring fields or power

Args

  • c: origin or center of monitor
  • L: physical dimensions of monitor
  • n: flux monitor direction (eg normal to flux surface)
source
powerFunction
function power(m::MonitorInstance, u)

total power (Poynting flux) passing thru monitor surface

source
power_densityFunction
function power_density(m::MonitorInstance, u)

power density (avg Poynting flux) passing thru monitor surface

source

Physics

step3!Function
function step3(u, p, t, field_padding, source_instances)

Updates fields for 3d

source

<!– step1 –> <!– stepTMz –> <!– stepTEz –>

Automatic differentiation adjoints

Compatible with Zygote.jl and Flux.jl

Tutorials

see examples/

Generative inverse design

Please contact us for latest scripts.

Comparison with other FDTD software

Our focus is on inverse design and topology optimization using adjoints from automatic differentiation. We love a streamlined API backed by a clear, concise and extensible codebase. Attention is paid to speed and malloc but that's not our main concern.

Community

Discussion & updates at Julia Discourse

Contributors

Paul Shen <pxshen@alumni.stanford.edu>

2024 (c) Paul Shen

+Pkg.add(url="https://github.com/paulxshen/FDTDToolkit.jl")

FDTDToolkit.jl contains visualization utilities

Implementation

Supports 1d (Ez, Hy), 2d TMz (Ez, Hx, Hy), 2d TEz (Hz, Ex, Ey) and 3d. Length and time are in units of wavelength and period. This normalization allows usage of relative permitivity and permeability in equations . Fields including electric, magnetic and current density are simply bundled as a vector of vectors of arrays . Boundary conditions pad the field arrays . PML paddings are multilayered, while All other boundaries add single layers. Paddings are stateful and permanent, increasing the size of field and geometry arrays. Finite differencing happens every update step and are coordinated to implictly implement a staggered Yee's grid .

Sources

If a source has fewer nonzero dimensions than the simulation domain, its signal will get normalized along its singleton dimensions. For example, all planar sources in 3d or line sources in 2d will get scaled up by a factor of 1/dx. This way, discretisation would not affect radiated power.

PlaneWaveType
function PlaneWave(f, dims; fields...)

Constructs plane wave source

Args

  • f: time function
  • dims: eg -1 for wave coming from -x face
  • fields: which fields to excite & their scaling constants (typically a current source, eg Jz=1)
source
SourceType
function Source(f, c, lb, ub, label=""; fields...)
+function Source(f, c, L, label=""; fields...)

Constructs custom source. Can be used to specify uniform or modal sources

Args

  • f: time function
  • c: origin or center of source
  • lb: lower bounds wrt to c
  • ub: upper bounds wrt to c
  • L: source dimensions in [wavelengths]
  • fields: which fields to excite & their scaling constants (typically a current source, eg Jz=1)
source

<!– GaussianBeam –>

Boundaries

Unspecified boundaries default to PML

PMLType
function PML(dims, d=0.25f0, σ=20.0f0)

Constructs perfectly matched layers (PML aka ABC, RBC) boundary of depth d wavelengths Doesn't need to be explictly declared as all unspecified boundaries default to PML

source
PECType
PEC(dims)

perfect electrical conductor dims: eg -1 for -x side

source
PMCType
PMC(dims)

perfect magnetic conductor

source

Monitors

MonitorType
function Monitor(c, L, n=nothing)

Constructs monitor which can span a point, line, surface, or volume monitoring fields or power

Args

  • c: origin or center of monitor
  • L: physical dimensions of monitor
  • n: flux monitor direction (eg normal to flux surface)
source
powerFunction
function power(m::MonitorInstance, u)

total power (Poynting flux) passing thru monitor surface

source
power_densityFunction
function power_density(m::MonitorInstance, u)

power density (avg Poynting flux) passing thru monitor surface

source

Physics

step3!Function
function step3(u, p, t, field_padding, source_instances)

Updates fields for 3d

source

<!– step1 –> <!– stepTMz –> <!– stepTEz –>

Automatic differentiation adjoints

Compatible with Zygote.jl and Flux.jl

Tutorials

see examples/

Generative inverse design

Please contact us for latest scripts.

Comparison with other FDTD software

Our focus is on inverse design and topology optimization using adjoints from automatic differentiation. We love a streamlined API backed by a clear, concise and extensible codebase. Attention is paid to speed and malloc but that's not our main concern.

Community

Discussion & updates at Julia Discourse

Contributors

Paul Shen <pxshen@alumni.stanford.edu>

2024 (c) Paul Shen

diff --git a/docs/search_index.js b/docs/search_index.js index e5734a2..003dbab 100644 --- a/docs/search_index.js +++ b/docs/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"guide/#","page":"-","title":"","text":"","category":"section"},{"location":"guide/","page":"-","title":"-","text":"Engineers run simulations to improve designs. Each time the design changes, the simulation is re-run. This can be done systematically in \"parameter sweeps\" where different combinations of parameter values are simulated to determine the best design. However, this scales exponentially wrt the number of parameters or DOFs. ","category":"page"},{"location":"guide/#General-workflow","page":"-","title":"General workflow","text":"","category":"section"},{"location":"guide/","page":"-","title":"-","text":"We use gradient descent, the same as in machine learning. In lieu of optimizing neural network parameters, we're optimizing geometry (or source) parameters. In each training iteration, we generate geometry, run the simulation, calculate the objective metric, and do a backward pass to derive the gradient wrt the geometry parameters. We then do a gradient based parameter update in preparation for the next iteration.","category":"page"},{"location":"guide/","page":"-","title":"-","text":"The geometry is thus the first step. It typically has a static component which we can't change such as interfacing waveguides. Then there's a design component which we can change or optimize. The user is responsible for generating the design geometry wrt design parameters. If any pattern is allowed in the design region, our sister package Jello.jl can be used as a length scale controlled geometry generator. In any case, the result needs to be a 2d/3d array of each relevant materials property eg permitivity. ","category":"page"},{"location":"guide/","page":"-","title":"-","text":"With geometry ready, we can run the simulation. Duration is roughly the time it takes to reach steady state, such as how long it take for the signal to reach output port. The objective is usually a steady state metric which can be computed using values from the final period. We optimize geometry for some objective. ","category":"page"},{"location":"#FDTDEngine.jl","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"First stable release with GPU support planned for end of 02/2024. Currently Prerelease. Expect breaking changes Only 3d works in latest patch. 2d/1d will be fixed in future.","category":"page"},{"location":"#Overview","page":"FDTDEngine.jl","title":"Overview","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Differentiable FDTD package for inverse design & topology optimization in photonics, acoustics and RF. Uses automatic differentiation by Zygote.jl for adjoint optimization. Integrates with Jello.jl to generate length scale controlled paramaterized geometry . Staggered Yee grid update with fully featured boundary conditions & sources. Customizable physics to potentially incorporate dynamics like heat transfer, charge transport.","category":"page"},{"location":"#Gallery","page":"FDTDEngine.jl","title":"Gallery","text":"","category":"section"},{"location":"#Periodic-scattering","page":"FDTDEngine.jl","title":"Periodic scattering","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"(Image: )","category":"page"},{"location":"#Quarter-wavelength-antenna","page":"FDTDEngine.jl","title":"Quarter wavelength antenna","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"(Image: )","category":"page"},{"location":"#Inverse-design-of-compact-silicon-photonic-splitter-(coming-soon)","page":"FDTDEngine.jl","title":"Inverse design of compact silicon photonic splitter (coming soon)","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":" ","category":"page"},{"location":"#Quickstart","page":"FDTDEngine.jl","title":"Quickstart","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"We do a quick 3d simulation of plane wave scattering on periodic array of dielectric spheres (first gallery movie)","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"using UnPack, LinearAlgebra, GLMakie\nusing FDTDEngine,FDTDToolkit\n\nname = \"3d_scattering\"\nT = 8.0f0 # simulation duration in [periods]\nnres = 16\ndx = 1.0f0 / nres # pixel resolution in [wavelengths]\n\n\"geometry\"\nl = 2 # domain physical size length\nsz = nres .* (l, l, l) # domain voxel dimensions\nϵ1 = ϵmin = 1 #\nϵ2 = 2.25f0 # \nb = F.([norm(v .- sz ./ 2) < 0.5 / dx for v = Base.product(Base.oneto.(sz)...)]) # sphere\nϵ = ϵ2 * b + ϵ1 * (1 .- b)\n\n\"setup\"\nboundaries = [Periodic(2), Periodic(3)]# unspecified boundaries default to PML\nsources = [\n PlaneWave(t -> cos(F(2π) * t), -1; Jz=1) # Jz excited plane wave from -x plane (eg -1)\n]\nn = [1, 0, 0] # normal \nδ = 0.2f0 # margin\n# A = (l - δ)^2\nlm = 1 # monitor side length\nmonitors = [\n Monitor([δ, l / 2, l / 2], [0, lm, lm], n,), # (center, dimensions, normal)\n Monitor([l - δ, l / 2, l / 2], [0, lm, lm], n,),\n]\nconfigs = setup(boundaries, sources, monitors, dx, sz; ϵmin, T)\n@unpack μ, σ, σm, dt, geometry_padding, geometry_splits, field_padding, source_instances, monitor_instances, u0, = configs\n\nϵ, μ, σ, σm = apply(geometry_padding; ϵ, μ, σ, σm)\np = apply(geometry_splits; ϵ, μ, σ, σm)\n\n\n# run simulation\nt = 0:dt:T\nu = similar([u0], length(t))\n@showtime u = accumulate!((u, t) -> step!(u, p, t, dx, dt, field_padding, source_instances), u, t, init=deepcopy(u0))\ny = hcat([power.((m,), u) for m = monitor_instances]...)\n\n# make movie\nEz = map(u) do u\n u[1][3]\nend\nϵz = p[1][3]\ndir = @__DIR__\n\nrecordsim(\"$dir/$(name)_nres_$nres.mp4\", Ez, y;\n dt,\n monitor_instances,\n source_instances,\n geometry=ϵz,\n elevation=30°,\n playback=1,\n axis1=(; title=\"$name\\nEz\"),\n axis2=(; title=\"monitor powers\"),\n)","category":"page"},{"location":"#Installation","page":"FDTDEngine.jl","title":"Installation","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Install via ","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Pkg.add(url=\"https://github.com/paulxshen/FDTDEngine.jl\")\nPkg.add(url=\"https://github.com/paulxshen/FDTDToolkit.jl\")","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"FDTDToolkit.jl contains visualization utilities","category":"page"},{"location":"#Implementation","page":"FDTDEngine.jl","title":"Implementation","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Supports 1d (Ez, Hy), 2d TMz (Ez, Hx, Hy), 2d TEz (Hz, Ex, Ey) and 3d. Length and time are in units of wavelength and period. This normalization allows usage of relative permitivity and permeability in equations . Fields including electric, magnetic and current density are simply bundled as a vector of vectors of arrays . Boundary conditions pad the field arrays . PML paddings are multilayered, while All other boundaries add single layers. Paddings are stateful and permanent, increasing the size of field and geometry arrays. Finite differencing happens every update step and are coordinated to implictly implement a staggered Yee's grid .","category":"page"},{"location":"#Sources","page":"FDTDEngine.jl","title":"Sources","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"If a source has fewer nonzero dimensions than the simulation domain, its signal will get normalized along its singleton dimensions. For example, all planar sources in 3d or line sources in 2d will get scaled up by a factor of 1/dx. This way, discretisation would not affect radiated power.","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"PlaneWave\nSource","category":"page"},{"location":"#PlaneWave","page":"FDTDEngine.jl","title":"PlaneWave","text":"function PlaneWave(f, dims; fields...)\n\nConstructs plane wave source\n\nArgs\n\nf: time function\ndims: eg -1 for wave coming from -x face\nfields: which fields to excite & their scaling constants (typically a current source, eg Jz=1)\n\n\n\n\n\n","category":"type"},{"location":"#Source","page":"FDTDEngine.jl","title":"Source","text":"function Source(f, c, lb, ub, label=\"\"; fields...)\nfunction Source(f, c, L, label=\"\"; fields...)\n\nConstructs custom source. Can be used to specify uniform or modal sources\n\nArgs\n\nf: time function\nc: origin or center of source\nlb: lower bounds wrt to c\nub: upper bounds wrt to c\nL: source dimensions in [wavelengths]\nfields: which fields to excite & their scaling constants (typically a current source, eg Jz=1)\n\n\n\n\n\n","category":"type"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"","category":"page"},{"location":"#Boundaries","page":"FDTDEngine.jl","title":"Boundaries","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Unspecified boundaries default to PML ","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Periodic\nPML\nPEC\nPMC","category":"page"},{"location":"#Periodic","page":"FDTDEngine.jl","title":"Periodic","text":"Periodic(dims)\n\nperiodic boundary\n\n\n\n\n\n","category":"type"},{"location":"#PML","page":"FDTDEngine.jl","title":"PML","text":"function PML(dims, d=0.25f0, σ=20.0f0)\n\nConstructs perfectly matched layers (PML aka ABC, RBC) boundary of depth d wavelengths Doesn't need to be explictly declared as all unspecified boundaries default to PML\n\n\n\n\n\n","category":"type"},{"location":"#PEC","page":"FDTDEngine.jl","title":"PEC","text":"PEC(dims)\n\nperfect electrical conductor dims: eg -1 for -x side\n\n\n\n\n\n","category":"type"},{"location":"#PMC","page":"FDTDEngine.jl","title":"PMC","text":"PMC(dims)\n\nperfect magnetic conductor\n\n\n\n\n\n","category":"type"},{"location":"#Monitors","page":"FDTDEngine.jl","title":"Monitors","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Monitor\npower\npower_density","category":"page"},{"location":"#Monitor","page":"FDTDEngine.jl","title":"Monitor","text":"function Monitor(c, L, n=nothing)\n\nConstructs monitor which can span a point, line, surface, or volume monitoring fields or power\n\nArgs\n\nc: origin or center of monitor\nL: physical dimensions of monitor\nn: flux monitor direction (eg normal to flux surface)\n\n\n\n\n\n","category":"type"},{"location":"#power","page":"FDTDEngine.jl","title":"power","text":"function power(m::MonitorInstance, u)\n\ntotal power (Poynting flux) passing thru monitor surface\n\n\n\n\n\n","category":"function"},{"location":"#power_density","page":"FDTDEngine.jl","title":"power_density","text":"function power_density(m::MonitorInstance, u)\n\npower density (avg Poynting flux) passing thru monitor surface\n\n\n\n\n\n","category":"function"},{"location":"#Physics","page":"FDTDEngine.jl","title":"Physics","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"step3!","category":"page"},{"location":"#step3!","page":"FDTDEngine.jl","title":"step3!","text":"function step3(u, p, t, field_padding, source_instances)\n\nUpdates fields for 3d\n\n\n\n\n\n","category":"function"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":" ","category":"page"},{"location":"#Automatic-differentiation-adjoints","page":"FDTDEngine.jl","title":"Automatic differentiation adjoints","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Compatible with Zygote.jl and Flux.jl","category":"page"},{"location":"#Tutorials","page":"FDTDEngine.jl","title":"Tutorials","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"see examples/","category":"page"},{"location":"#Generative-inverse-design","page":"FDTDEngine.jl","title":"Generative inverse design","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Please contact us for latest scripts.","category":"page"},{"location":"#Comparison-with-other-FDTD-software","page":"FDTDEngine.jl","title":"Comparison with other FDTD software","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Our focus is on inverse design and topology optimization using adjoints from automatic differentiation. We love a streamlined API backed by a clear, concise and extensible codebase. Attention is paid to speed and malloc but that's not our main concern.","category":"page"},{"location":"#Community","page":"FDTDEngine.jl","title":"Community","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Discussion & updates at Julia Discourse","category":"page"},{"location":"#Contributors","page":"FDTDEngine.jl","title":"Contributors","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Paul Shen ","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"2024 (c) Paul Shen","category":"page"}] +[{"location":"guide/#","page":"-","title":"","text":"","category":"section"},{"location":"guide/","page":"-","title":"-","text":"Engineers run simulations to improve designs. Each time the design changes, the simulation is re-run. This can be done systematically in \"parameter sweeps\" where different combinations of parameter values are simulated to determine the best design. However, this scales exponentially wrt the number of parameters or DOFs. ","category":"page"},{"location":"guide/#General-workflow","page":"-","title":"General workflow","text":"","category":"section"},{"location":"guide/","page":"-","title":"-","text":"We use gradient descent, the same as in machine learning. In lieu of optimizing neural network parameters, we're optimizing geometry (or source) parameters. In each training iteration, we generate geometry, run the simulation, calculate the objective metric, and do a backward pass to derive the gradient wrt the geometry parameters. We then do a gradient based parameter update in preparation for the next iteration.","category":"page"},{"location":"guide/","page":"-","title":"-","text":"The geometry is thus the first step. It typically has a static component which we can't change such as interfacing waveguides. Then there's a design component which we can change or optimize. The user is responsible for generating the design geometry wrt design parameters. If any pattern is allowed in the design region, our sister package Jello.jl can be used as a length scale controlled geometry generator. In any case, the result needs to be a 2d/3d array of each relevant materials property eg permitivity. ","category":"page"},{"location":"guide/","page":"-","title":"-","text":"With geometry ready, we can run the simulation. Duration is roughly the time it takes to reach steady state, such as how long it take for the signal to reach output port. The objective is usually a steady state metric which can be computed using values from the final period. We optimize geometry for some objective. ","category":"page"},{"location":"#FDTDEngine.jl","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"First stable release with GPU support planned for end of 02/2024. Currently Prerelease. Expect breaking changes Only 3d works in latest patch. 2d/1d will be fixed in future.","category":"page"},{"location":"#Overview","page":"FDTDEngine.jl","title":"Overview","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Differentiable FDTD package for inverse design & topology optimization in photonics, acoustics and RF. Uses automatic differentiation by Zygote.jl for adjoint optimization. Integrates with Jello.jl to generate length scale controlled paramaterized geometry . Staggered Yee grid update with fully featured boundary conditions & sources. Customizable physics to potentially incorporate dynamics like heat transfer, charge transport.","category":"page"},{"location":"#Gallery","page":"FDTDEngine.jl","title":"Gallery","text":"","category":"section"},{"location":"#Periodic-scattering","page":"FDTDEngine.jl","title":"Periodic scattering","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"(Image: )","category":"page"},{"location":"#Quarter-wavelength-antenna","page":"FDTDEngine.jl","title":"Quarter wavelength antenna","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"(Image: )","category":"page"},{"location":"#Inverse-design-of-compact-silicon-photonic-splitter-(coming-soon)","page":"FDTDEngine.jl","title":"Inverse design of compact silicon photonic splitter (coming soon)","text":"","category":"section"},{"location":"#Quickstart","page":"FDTDEngine.jl","title":"Quickstart","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"We do a quick 3d simulation of plane wave scattering on periodic array of dielectric spheres (first gallery movie)","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"using UnPack, LinearAlgebra, GLMakie\nusing FDTDEngine,FDTDToolkit\n\nname = \"3d_scattering\"\nT = 8.0f0 # simulation duration in [periods]\nnres = 16\ndx = 1.0f0 / nres # pixel resolution in [wavelengths]\n\n\"geometry\"\nl = 2 # domain physical size length\nsz = nres .* (l, l, l) # domain voxel dimensions\nϵ1 = ϵmin = 1 #\nϵ2 = 2.25f0 # \nb = F.([norm(v .- sz ./ 2) < 0.5 / dx for v = Base.product(Base.oneto.(sz)...)]) # sphere\nϵ = ϵ2 * b + ϵ1 * (1 .- b)\n\n\"setup\"\nboundaries = [Periodic(2), Periodic(3)]# unspecified boundaries default to PML\nsources = [\n PlaneWave(t -> cos(F(2π) * t), -1; Jz=1) # Jz excited plane wave from -x plane (eg -1)\n]\nn = [1, 0, 0] # normal \nδ = 0.2f0 # margin\n# A = (l - δ)^2\nlm = 1 # monitor side length\nmonitors = [\n Monitor([δ, l / 2, l / 2], [0, lm, lm], n,), # (center, dimensions, normal)\n Monitor([l - δ, l / 2, l / 2], [0, lm, lm], n,),\n]\nconfigs = setup(boundaries, sources, monitors, dx, sz; ϵmin, T)\n@unpack μ, σ, σm, dt, geometry_padding, geometry_splits, field_padding, source_instances, monitor_instances, u0, = configs\n\nϵ, μ, σ, σm = apply(geometry_padding; ϵ, μ, σ, σm)\np = apply(geometry_splits; ϵ, μ, σ, σm)\n\n\n# run simulation\nt = 0:dt:T\nu = similar([u0], length(t))\n@showtime u = accumulate!((u, t) -> step!(u, p, t, dx, dt, field_padding, source_instances), u, t, init=deepcopy(u0))\ny = hcat([power.((m,), u) for m = monitor_instances]...)\n\n# make movie\nEz = map(u) do u\n u[1][3]\nend\nϵz = p[1][3]\ndir = @__DIR__\n\nrecordsim(\"$dir/$(name)_nres_$nres.mp4\", Ez, y;\n dt,\n monitor_instances,\n source_instances,\n geometry=ϵz,\n elevation=30°,\n playback=1,\n axis1=(; title=\"$name\\nEz\"),\n axis2=(; title=\"monitor powers\"),\n)","category":"page"},{"location":"#Installation","page":"FDTDEngine.jl","title":"Installation","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Install via ","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Pkg.add(url=\"https://github.com/paulxshen/FDTDEngine.jl\")\nPkg.add(url=\"https://github.com/paulxshen/FDTDToolkit.jl\")","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"FDTDToolkit.jl contains visualization utilities","category":"page"},{"location":"#Implementation","page":"FDTDEngine.jl","title":"Implementation","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Supports 1d (Ez, Hy), 2d TMz (Ez, Hx, Hy), 2d TEz (Hz, Ex, Ey) and 3d. Length and time are in units of wavelength and period. This normalization allows usage of relative permitivity and permeability in equations . Fields including electric, magnetic and current density are simply bundled as a vector of vectors of arrays . Boundary conditions pad the field arrays . PML paddings are multilayered, while All other boundaries add single layers. Paddings are stateful and permanent, increasing the size of field and geometry arrays. Finite differencing happens every update step and are coordinated to implictly implement a staggered Yee's grid .","category":"page"},{"location":"#Sources","page":"FDTDEngine.jl","title":"Sources","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"If a source has fewer nonzero dimensions than the simulation domain, its signal will get normalized along its singleton dimensions. For example, all planar sources in 3d or line sources in 2d will get scaled up by a factor of 1/dx. This way, discretisation would not affect radiated power.","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"PlaneWave\nSource","category":"page"},{"location":"#PlaneWave","page":"FDTDEngine.jl","title":"PlaneWave","text":"function PlaneWave(f, dims; fields...)\n\nConstructs plane wave source\n\nArgs\n\nf: time function\ndims: eg -1 for wave coming from -x face\nfields: which fields to excite & their scaling constants (typically a current source, eg Jz=1)\n\n\n\n\n\n","category":"type"},{"location":"#Source","page":"FDTDEngine.jl","title":"Source","text":"function Source(f, c, lb, ub, label=\"\"; fields...)\nfunction Source(f, c, L, label=\"\"; fields...)\n\nConstructs custom source. Can be used to specify uniform or modal sources\n\nArgs\n\nf: time function\nc: origin or center of source\nlb: lower bounds wrt to c\nub: upper bounds wrt to c\nL: source dimensions in [wavelengths]\nfields: which fields to excite & their scaling constants (typically a current source, eg Jz=1)\n\n\n\n\n\n","category":"type"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"","category":"page"},{"location":"#Boundaries","page":"FDTDEngine.jl","title":"Boundaries","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Unspecified boundaries default to PML ","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Periodic\nPML\nPEC\nPMC","category":"page"},{"location":"#Periodic","page":"FDTDEngine.jl","title":"Periodic","text":"Periodic(dims)\n\nperiodic boundary\n\n\n\n\n\n","category":"type"},{"location":"#PML","page":"FDTDEngine.jl","title":"PML","text":"function PML(dims, d=0.25f0, σ=20.0f0)\n\nConstructs perfectly matched layers (PML aka ABC, RBC) boundary of depth d wavelengths Doesn't need to be explictly declared as all unspecified boundaries default to PML\n\n\n\n\n\n","category":"type"},{"location":"#PEC","page":"FDTDEngine.jl","title":"PEC","text":"PEC(dims)\n\nperfect electrical conductor dims: eg -1 for -x side\n\n\n\n\n\n","category":"type"},{"location":"#PMC","page":"FDTDEngine.jl","title":"PMC","text":"PMC(dims)\n\nperfect magnetic conductor\n\n\n\n\n\n","category":"type"},{"location":"#Monitors","page":"FDTDEngine.jl","title":"Monitors","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Monitor\npower\npower_density","category":"page"},{"location":"#Monitor","page":"FDTDEngine.jl","title":"Monitor","text":"function Monitor(c, L, n=nothing)\n\nConstructs monitor which can span a point, line, surface, or volume monitoring fields or power\n\nArgs\n\nc: origin or center of monitor\nL: physical dimensions of monitor\nn: flux monitor direction (eg normal to flux surface)\n\n\n\n\n\n","category":"type"},{"location":"#power","page":"FDTDEngine.jl","title":"power","text":"function power(m::MonitorInstance, u)\n\ntotal power (Poynting flux) passing thru monitor surface\n\n\n\n\n\n","category":"function"},{"location":"#power_density","page":"FDTDEngine.jl","title":"power_density","text":"function power_density(m::MonitorInstance, u)\n\npower density (avg Poynting flux) passing thru monitor surface\n\n\n\n\n\n","category":"function"},{"location":"#Physics","page":"FDTDEngine.jl","title":"Physics","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"step3!","category":"page"},{"location":"#step3!","page":"FDTDEngine.jl","title":"step3!","text":"function step3(u, p, t, field_padding, source_instances)\n\nUpdates fields for 3d\n\n\n\n\n\n","category":"function"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":" ","category":"page"},{"location":"#Automatic-differentiation-adjoints","page":"FDTDEngine.jl","title":"Automatic differentiation adjoints","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Compatible with Zygote.jl and Flux.jl","category":"page"},{"location":"#Tutorials","page":"FDTDEngine.jl","title":"Tutorials","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"see examples/","category":"page"},{"location":"#Generative-inverse-design","page":"FDTDEngine.jl","title":"Generative inverse design","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Please contact us for latest scripts.","category":"page"},{"location":"#Comparison-with-other-FDTD-software","page":"FDTDEngine.jl","title":"Comparison with other FDTD software","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Our focus is on inverse design and topology optimization using adjoints from automatic differentiation. We love a streamlined API backed by a clear, concise and extensible codebase. Attention is paid to speed and malloc but that's not our main concern.","category":"page"},{"location":"#Community","page":"FDTDEngine.jl","title":"Community","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Discussion & updates at Julia Discourse","category":"page"},{"location":"#Contributors","page":"FDTDEngine.jl","title":"Contributors","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Paul Shen ","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"2024 (c) Paul Shen","category":"page"}] } diff --git a/makedocs/docs.bat b/makedocs/docs.bat new file mode 100644 index 0000000..32bbfa7 --- /dev/null +++ b/makedocs/docs.bat @@ -0,0 +1,4 @@ +cd "C:\Users\Paul\Documents\New folder" +xcopy /Y makedocs\build\* docs +xcopy /Y examples\3d_dipole_antenna\*.mp4 docs\assets +xcopy /Y examples\3d_periodic_scattering\*.mp4 docs\assets \ No newline at end of file diff --git a/makedocs/make.jl b/makedocs/make.jl index 9e5a48b..597e78e 100644 --- a/makedocs/make.jl +++ b/makedocs/make.jl @@ -16,6 +16,4 @@ makedocs( # for more information. #=deploydocs( repo = "" -)=# -run(`cmd /C MOVE /Y makedocs/build/\* docs/`) -run(`cmd /C MOVE /Y examples/\*/\*.mp4 docs/assets/`) \ No newline at end of file +)=# \ No newline at end of file From 1391ed3d9f70a1b5488d13132d0972579b715938 Mon Sep 17 00:00:00 2001 From: Paul Shen Date: Thu, 15 Feb 2024 11:54:31 -0500 Subject: [PATCH 3/3] --- .vscode/settings.json | 3 -- docs/.documenter-siteinfo.json | 2 +- .../3d_quarter_wavelength_antenna_nres_16.mp4 | Bin 94069 -> 84886 bytes docs/assets/3d_scattering_nres_16.mp4 | Bin 186115 -> 187259 bytes docs/index.html | 27 +++++++++++++----- docs/search_index.js | 2 +- .../3d_quarter_wavelength_antenna_nres_16.mp4 | Bin 0 -> 84886 bytes .../[simulation]_3d_dipole_antenna.jl | 20 +++++++------ .../3d_periodic_scattering.jl | 8 ++++-- .../3d_scattering_nres_16.mp4 | Bin 0 -> 187259 bytes ...se_design_3d_silicon_photonics_splitter.jl | 7 +++++ makedocs/src/index.md | 21 +++++++++++--- src/maxwell.jl | 22 +++++++------- 13 files changed, 75 insertions(+), 37 deletions(-) delete mode 100644 .vscode/settings.json create mode 100644 examples/3d_dipole_antenna/3d_quarter_wavelength_antenna_nres_16.mp4 create mode 100644 examples/3d_periodic_scattering/3d_scattering_nres_16.mp4 diff --git a/.vscode/settings.json b/.vscode/settings.json deleted file mode 100644 index 81f4e1c..0000000 --- a/.vscode/settings.json +++ /dev/null @@ -1,3 +0,0 @@ -{ - "julia.environmentPath": "C:\\Users\\Paul\\.julia\\environments\\v1.10" -} \ No newline at end of file diff --git a/docs/.documenter-siteinfo.json b/docs/.documenter-siteinfo.json index 8dd00eb..0d3c8cc 100644 --- a/docs/.documenter-siteinfo.json +++ b/docs/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-14T13:45:29","documenter_version":"1.2.1"}} \ No 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FDTDEngine.jl

First stable release with GPU support planned for end of 02/2024. Currently Prerelease. Expect breaking changes Only 3d works in latest patch. 2d/1d will be fixed in future.

Overview

Differentiable FDTD package for inverse design & topology optimization in photonics, acoustics and RF. Uses automatic differentiation by Zygote.jl for adjoint optimization. Integrates with Jello.jl to generate length scale controlled paramaterized geometry . Staggered Yee grid update with fully featured boundary conditions & sources. Customizable physics to potentially incorporate dynamics like heat transfer, charge transport.

Periodic scattering

Quarter wavelength antenna

Inverse design of compact silicon photonic splitter (coming soon)

Quickstart

We do a quick 3d simulation of plane wave scattering on periodic array of dielectric spheres (first gallery movie)

using UnPack, LinearAlgebra, GLMakie
-using FDTDEngine,FDTDToolkit
+FDTDEngine.jl · FDTDEngine.jl

FDTDEngine.jl

First stable release with GPU support planned for end of 02/2024. Currently Prerelease. Expect breaking changes Only 3d works in latest patch. 2d/1d will be fixed in future.

Overview

Differentiable FDTD package for inverse design & topology optimization in photonics, acoustics and RF. Uses automatic differentiation by Zygote.jl for adjoint optimization. Integrates with Jello.jl to generate length scale controlled paramaterized geometry . Staggered Yee grid update with fully featured boundary conditions & sources. Customizable physics to potentially incorporate dynamics like heat transfer, charge transport.

Periodic scattering

Quarter wavelength antenna

Inverse design of compact silicon photonic splitter (coming soon)

Quickstart

We do a quick 3d simulation of plane wave scattering on periodic array of dielectric spheres (first gallery movie)

"""
+simulation of plane wave scattering on periodic array of dielectric spheres
+"""
+
+using UnPack, LinearAlgebra, GLMakie
+# using FDTDEngine,FDTDToolkit
+dir = pwd()
+include("$(dir)/src/main.jl")
+include("$dir/../FDTDToolkit.jl/src/main.jl")
+
 
 name = "3d_scattering"
 T = 8.0f0 # simulation duration in [periods]
@@ -37,8 +45,12 @@
 
 # run simulation
 t = 0:dt:T
-u = similar([u0], length(t))
-@showtime u = accumulate!((u, t) -> step!(u, p, t, dx, dt, field_padding, source_instances), u, t, init=deepcopy(u0))
+u = [[similar.(a) for a = u0] for t = t]
+u[1] = u0
+@showtime reduce(
+    (u, (u1, t)) -> step!(u1, u, p, t, dx, dt, field_padding, source_instances),
+    zip(u[2:end], t[1:end-1]),
+    init=u0)
 y = hcat([power.((m,), u) for m = monitor_instances]...)
 
 # make movie
@@ -57,6 +69,7 @@
     playback=1,
     axis1=(; title="$name\nEz"),
     axis2=(; title="monitor powers"),
-)

Installation

Install via

Pkg.add(url="https://github.com/paulxshen/FDTDEngine.jl")
-Pkg.add(url="https://github.com/paulxshen/FDTDToolkit.jl")

FDTDToolkit.jl contains visualization utilities

Implementation

Supports 1d (Ez, Hy), 2d TMz (Ez, Hx, Hy), 2d TEz (Hz, Ex, Ey) and 3d. Length and time are in units of wavelength and period. This normalization allows usage of relative permitivity and permeability in equations . Fields including electric, magnetic and current density are simply bundled as a vector of vectors of arrays . Boundary conditions pad the field arrays . PML paddings are multilayered, while All other boundaries add single layers. Paddings are stateful and permanent, increasing the size of field and geometry arrays. Finite differencing happens every update step and are coordinated to implictly implement a staggered Yee's grid .

Sources

If a source has fewer nonzero dimensions than the simulation domain, its signal will get normalized along its singleton dimensions. For example, all planar sources in 3d or line sources in 2d will get scaled up by a factor of 1/dx. This way, discretisation would not affect radiated power.

PlaneWaveType
function PlaneWave(f, dims; fields...)

Constructs plane wave source

Args

  • f: time function
  • dims: eg -1 for wave coming from -x face
  • fields: which fields to excite & their scaling constants (typically a current source, eg Jz=1)
source
SourceType
function Source(f, c, lb, ub, label=""; fields...)
-function Source(f, c, L, label=""; fields...)

Constructs custom source. Can be used to specify uniform or modal sources

Args

  • f: time function
  • c: origin or center of source
  • lb: lower bounds wrt to c
  • ub: upper bounds wrt to c
  • L: source dimensions in [wavelengths]
  • fields: which fields to excite & their scaling constants (typically a current source, eg Jz=1)
source

<!– GaussianBeam –>

Boundaries

Unspecified boundaries default to PML

PMLType
function PML(dims, d=0.25f0, σ=20.0f0)

Constructs perfectly matched layers (PML aka ABC, RBC) boundary of depth d wavelengths Doesn't need to be explictly declared as all unspecified boundaries default to PML

source
PECType
PEC(dims)

perfect electrical conductor dims: eg -1 for -x side

source
PMCType
PMC(dims)

perfect magnetic conductor

source

Monitors

MonitorType
function Monitor(c, L, n=nothing)

Constructs monitor which can span a point, line, surface, or volume monitoring fields or power

Args

  • c: origin or center of monitor
  • L: physical dimensions of monitor
  • n: flux monitor direction (eg normal to flux surface)
source
powerFunction
function power(m::MonitorInstance, u)

total power (Poynting flux) passing thru monitor surface

source
power_densityFunction
function power_density(m::MonitorInstance, u)

power density (avg Poynting flux) passing thru monitor surface

source

Physics

step3!Function
function step3(u, p, t, field_padding, source_instances)

Updates fields for 3d

source

<!– step1 –> <!– stepTMz –> <!– stepTEz –>

Automatic differentiation adjoints

Compatible with Zygote.jl and Flux.jl

Tutorials

see examples/

Generative inverse design

Please contact us for latest scripts.

Comparison with other FDTD software

Our focus is on inverse design and topology optimization using adjoints from automatic differentiation. We love a streamlined API backed by a clear, concise and extensible codebase. Attention is paid to speed and malloc but that's not our main concern.

Community

Discussion & updates at Julia Discourse

Contributors

Paul Shen <pxshen@alumni.stanford.edu>

2024 (c) Paul Shen

+) +

Installation

Install via

Pkg.add(url="https://github.com/paulxshen/FDTDEngine.jl")
+Pkg.add(url="https://github.com/paulxshen/FDTDToolkit.jl")

FDTDToolkit.jl contains visualization utilities

Implementation

Supports 1d (Ez, Hy), 2d TMz (Ez, Hx, Hy), 2d TEz (Hz, Ex, Ey) and 3d. Length and time are in units of wavelength and period. This normalization allows usage of relative permitivity and permeability in equations . Fields including electric, magnetic and current density are simply bundled as a vector of vectors of arrays . Boundary conditions pad the field arrays . PML paddings are multilayered, while All other boundaries add single layers. Paddings are stateful and permanent, increasing the size of field and geometry arrays. Finite differencing happens every update step and are coordinated to implictly implement a staggered Yee's grid .

Sources

If a source has fewer nonzero dimensions than the simulation domain, its signal will get normalized along its singleton dimensions. For example, all planar sources in 3d or line sources in 2d will get scaled up by a factor of 1/dx. This way, discretisation would not affect radiated power.

PlaneWaveType
function PlaneWave(f, dims; fields...)

Constructs plane wave source

Args

  • f: time function
  • dims: eg -1 for wave coming from -x face
  • fields: which fields to excite & their scaling constants (typically a current source, eg Jz=1)
source
SourceType
function Source(f, c, lb, ub, label=""; fields...)
+function Source(f, c, L, label=""; fields...)

Constructs custom source. Can be used to specify uniform or modal sources

Args

  • f: time function
  • c: origin or center of source
  • lb: lower bounds wrt to c
  • ub: upper bounds wrt to c
  • L: source dimensions in [wavelengths]
  • fields: which fields to excite & their scaling constants (typically a current source, eg Jz=1)
source

<!– GaussianBeam –>

Boundaries

Unspecified boundaries default to PML

PMLType
function PML(dims, d=0.25f0, σ=20.0f0)

Constructs perfectly matched layers (PML aka ABC, RBC) boundary of depth d wavelengths Doesn't need to be explictly declared as all unspecified boundaries default to PML

source
PECType
PEC(dims)

perfect electrical conductor dims: eg -1 for -x side

source
PMCType
PMC(dims)

perfect magnetic conductor

source

Monitors

MonitorType
function Monitor(c, L, n=nothing)

Constructs monitor which can span a point, line, surface, or volume monitoring fields or power

Args

  • c: origin or center of monitor
  • L: physical dimensions of monitor
  • n: flux monitor direction (eg normal to flux surface)
source
powerFunction
function power(m::MonitorInstance, u)

total power (Poynting flux) passing thru monitor surface

source
power_densityFunction
function power_density(m::MonitorInstance, u)

power density (avg Poynting flux) passing thru monitor surface

source

Physics

step!Function
function step3(u, p, t, field_padding, source_instances)

Updates fields for 3d

source
function step3(u, p, t, field_padding, source_instances)

Updates fields for 3d

source

<!– step1 –> <!– stepTMz –> <!– stepTEz –>

Automatic differentiation adjoints

Compatible with Zygote.jl and Flux.jl

Tutorials

see examples/

Generative inverse design

Please contact us for latest scripts.

Comparison with other FDTD software

Our focus is on inverse design and topology optimization using adjoints from automatic differentiation. We love a streamlined API backed by a clear, concise and extensible codebase. Attention is paid to speed and malloc but that's not our main concern.

Community

Discussion & updates at Julia Discourse

Contributors

Paul Shen <pxshen@alumni.stanford.edu>

2024 (c) Paul Shen

diff --git a/docs/search_index.js b/docs/search_index.js index 003dbab..4ab6ae3 100644 --- a/docs/search_index.js +++ b/docs/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"guide/#","page":"-","title":"","text":"","category":"section"},{"location":"guide/","page":"-","title":"-","text":"Engineers run simulations to improve designs. Each time the design changes, the simulation is re-run. This can be done systematically in \"parameter sweeps\" where different combinations of parameter values are simulated to determine the best design. However, this scales exponentially wrt the number of parameters or DOFs. ","category":"page"},{"location":"guide/#General-workflow","page":"-","title":"General workflow","text":"","category":"section"},{"location":"guide/","page":"-","title":"-","text":"We use gradient descent, the same as in machine learning. In lieu of optimizing neural network parameters, we're optimizing geometry (or source) parameters. In each training iteration, we generate geometry, run the simulation, calculate the objective metric, and do a backward pass to derive the gradient wrt the geometry parameters. We then do a gradient based parameter update in preparation for the next iteration.","category":"page"},{"location":"guide/","page":"-","title":"-","text":"The geometry is thus the first step. It typically has a static component which we can't change such as interfacing waveguides. Then there's a design component which we can change or optimize. The user is responsible for generating the design geometry wrt design parameters. If any pattern is allowed in the design region, our sister package Jello.jl can be used as a length scale controlled geometry generator. In any case, the result needs to be a 2d/3d array of each relevant materials property eg permitivity. ","category":"page"},{"location":"guide/","page":"-","title":"-","text":"With geometry ready, we can run the simulation. Duration is roughly the time it takes to reach steady state, such as how long it take for the signal to reach output port. The objective is usually a steady state metric which can be computed using values from the final period. We optimize geometry for some objective. ","category":"page"},{"location":"#FDTDEngine.jl","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"First stable release with GPU support planned for end of 02/2024. Currently Prerelease. Expect breaking changes Only 3d works in latest patch. 2d/1d will be fixed in future.","category":"page"},{"location":"#Overview","page":"FDTDEngine.jl","title":"Overview","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Differentiable FDTD package for inverse design & topology optimization in photonics, acoustics and RF. Uses automatic differentiation by Zygote.jl for adjoint optimization. Integrates with Jello.jl to generate length scale controlled paramaterized geometry . Staggered Yee grid update with fully featured boundary conditions & sources. Customizable physics to potentially incorporate dynamics like heat transfer, charge transport.","category":"page"},{"location":"#Gallery","page":"FDTDEngine.jl","title":"Gallery","text":"","category":"section"},{"location":"#Periodic-scattering","page":"FDTDEngine.jl","title":"Periodic scattering","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"(Image: )","category":"page"},{"location":"#Quarter-wavelength-antenna","page":"FDTDEngine.jl","title":"Quarter wavelength antenna","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"(Image: )","category":"page"},{"location":"#Inverse-design-of-compact-silicon-photonic-splitter-(coming-soon)","page":"FDTDEngine.jl","title":"Inverse design of compact silicon photonic splitter (coming soon)","text":"","category":"section"},{"location":"#Quickstart","page":"FDTDEngine.jl","title":"Quickstart","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"We do a quick 3d simulation of plane wave scattering on periodic array of dielectric spheres (first gallery movie)","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"using UnPack, LinearAlgebra, GLMakie\nusing FDTDEngine,FDTDToolkit\n\nname = \"3d_scattering\"\nT = 8.0f0 # simulation duration in [periods]\nnres = 16\ndx = 1.0f0 / nres # pixel resolution in [wavelengths]\n\n\"geometry\"\nl = 2 # domain physical size length\nsz = nres .* (l, l, l) # domain voxel dimensions\nϵ1 = ϵmin = 1 #\nϵ2 = 2.25f0 # \nb = F.([norm(v .- sz ./ 2) < 0.5 / dx for v = Base.product(Base.oneto.(sz)...)]) # sphere\nϵ = ϵ2 * b + ϵ1 * (1 .- b)\n\n\"setup\"\nboundaries = [Periodic(2), Periodic(3)]# unspecified boundaries default to PML\nsources = [\n PlaneWave(t -> cos(F(2π) * t), -1; Jz=1) # Jz excited plane wave from -x plane (eg -1)\n]\nn = [1, 0, 0] # normal \nδ = 0.2f0 # margin\n# A = (l - δ)^2\nlm = 1 # monitor side length\nmonitors = [\n Monitor([δ, l / 2, l / 2], [0, lm, lm], n,), # (center, dimensions, normal)\n Monitor([l - δ, l / 2, l / 2], [0, lm, lm], n,),\n]\nconfigs = setup(boundaries, sources, monitors, dx, sz; ϵmin, T)\n@unpack μ, σ, σm, dt, geometry_padding, geometry_splits, field_padding, source_instances, monitor_instances, u0, = configs\n\nϵ, μ, σ, σm = apply(geometry_padding; ϵ, μ, σ, σm)\np = apply(geometry_splits; ϵ, μ, σ, σm)\n\n\n# run simulation\nt = 0:dt:T\nu = similar([u0], length(t))\n@showtime u = accumulate!((u, t) -> step!(u, p, t, dx, dt, field_padding, source_instances), u, t, init=deepcopy(u0))\ny = hcat([power.((m,), u) for m = monitor_instances]...)\n\n# make movie\nEz = map(u) do u\n u[1][3]\nend\nϵz = p[1][3]\ndir = @__DIR__\n\nrecordsim(\"$dir/$(name)_nres_$nres.mp4\", Ez, y;\n dt,\n monitor_instances,\n source_instances,\n geometry=ϵz,\n elevation=30°,\n playback=1,\n axis1=(; title=\"$name\\nEz\"),\n axis2=(; title=\"monitor powers\"),\n)","category":"page"},{"location":"#Installation","page":"FDTDEngine.jl","title":"Installation","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Install via ","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Pkg.add(url=\"https://github.com/paulxshen/FDTDEngine.jl\")\nPkg.add(url=\"https://github.com/paulxshen/FDTDToolkit.jl\")","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"FDTDToolkit.jl contains visualization utilities","category":"page"},{"location":"#Implementation","page":"FDTDEngine.jl","title":"Implementation","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Supports 1d (Ez, Hy), 2d TMz (Ez, Hx, Hy), 2d TEz (Hz, Ex, Ey) and 3d. Length and time are in units of wavelength and period. This normalization allows usage of relative permitivity and permeability in equations . Fields including electric, magnetic and current density are simply bundled as a vector of vectors of arrays . Boundary conditions pad the field arrays . PML paddings are multilayered, while All other boundaries add single layers. Paddings are stateful and permanent, increasing the size of field and geometry arrays. Finite differencing happens every update step and are coordinated to implictly implement a staggered Yee's grid .","category":"page"},{"location":"#Sources","page":"FDTDEngine.jl","title":"Sources","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"If a source has fewer nonzero dimensions than the simulation domain, its signal will get normalized along its singleton dimensions. For example, all planar sources in 3d or line sources in 2d will get scaled up by a factor of 1/dx. This way, discretisation would not affect radiated power.","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"PlaneWave\nSource","category":"page"},{"location":"#PlaneWave","page":"FDTDEngine.jl","title":"PlaneWave","text":"function PlaneWave(f, dims; fields...)\n\nConstructs plane wave source\n\nArgs\n\nf: time function\ndims: eg -1 for wave coming from -x face\nfields: which fields to excite & their scaling constants (typically a current source, eg Jz=1)\n\n\n\n\n\n","category":"type"},{"location":"#Source","page":"FDTDEngine.jl","title":"Source","text":"function Source(f, c, lb, ub, label=\"\"; fields...)\nfunction Source(f, c, L, label=\"\"; fields...)\n\nConstructs custom source. Can be used to specify uniform or modal sources\n\nArgs\n\nf: time function\nc: origin or center of source\nlb: lower bounds wrt to c\nub: upper bounds wrt to c\nL: source dimensions in [wavelengths]\nfields: which fields to excite & their scaling constants (typically a current source, eg Jz=1)\n\n\n\n\n\n","category":"type"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"","category":"page"},{"location":"#Boundaries","page":"FDTDEngine.jl","title":"Boundaries","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Unspecified boundaries default to PML ","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Periodic\nPML\nPEC\nPMC","category":"page"},{"location":"#Periodic","page":"FDTDEngine.jl","title":"Periodic","text":"Periodic(dims)\n\nperiodic boundary\n\n\n\n\n\n","category":"type"},{"location":"#PML","page":"FDTDEngine.jl","title":"PML","text":"function PML(dims, d=0.25f0, σ=20.0f0)\n\nConstructs perfectly matched layers (PML aka ABC, RBC) boundary of depth d wavelengths Doesn't need to be explictly declared as all unspecified boundaries default to PML\n\n\n\n\n\n","category":"type"},{"location":"#PEC","page":"FDTDEngine.jl","title":"PEC","text":"PEC(dims)\n\nperfect electrical conductor dims: eg -1 for -x side\n\n\n\n\n\n","category":"type"},{"location":"#PMC","page":"FDTDEngine.jl","title":"PMC","text":"PMC(dims)\n\nperfect magnetic conductor\n\n\n\n\n\n","category":"type"},{"location":"#Monitors","page":"FDTDEngine.jl","title":"Monitors","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Monitor\npower\npower_density","category":"page"},{"location":"#Monitor","page":"FDTDEngine.jl","title":"Monitor","text":"function Monitor(c, L, n=nothing)\n\nConstructs monitor which can span a point, line, surface, or volume monitoring fields or power\n\nArgs\n\nc: origin or center of monitor\nL: physical dimensions of monitor\nn: flux monitor direction (eg normal to flux surface)\n\n\n\n\n\n","category":"type"},{"location":"#power","page":"FDTDEngine.jl","title":"power","text":"function power(m::MonitorInstance, u)\n\ntotal power (Poynting flux) passing thru monitor surface\n\n\n\n\n\n","category":"function"},{"location":"#power_density","page":"FDTDEngine.jl","title":"power_density","text":"function power_density(m::MonitorInstance, u)\n\npower density (avg Poynting flux) passing thru monitor surface\n\n\n\n\n\n","category":"function"},{"location":"#Physics","page":"FDTDEngine.jl","title":"Physics","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"step3!","category":"page"},{"location":"#step3!","page":"FDTDEngine.jl","title":"step3!","text":"function step3(u, p, t, field_padding, source_instances)\n\nUpdates fields for 3d\n\n\n\n\n\n","category":"function"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":" ","category":"page"},{"location":"#Automatic-differentiation-adjoints","page":"FDTDEngine.jl","title":"Automatic differentiation adjoints","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Compatible with Zygote.jl and Flux.jl","category":"page"},{"location":"#Tutorials","page":"FDTDEngine.jl","title":"Tutorials","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"see examples/","category":"page"},{"location":"#Generative-inverse-design","page":"FDTDEngine.jl","title":"Generative inverse design","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Please contact us for latest scripts.","category":"page"},{"location":"#Comparison-with-other-FDTD-software","page":"FDTDEngine.jl","title":"Comparison with other FDTD software","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Our focus is on inverse design and topology optimization using adjoints from automatic differentiation. We love a streamlined API backed by a clear, concise and extensible codebase. Attention is paid to speed and malloc but that's not our main concern.","category":"page"},{"location":"#Community","page":"FDTDEngine.jl","title":"Community","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Discussion & updates at Julia Discourse","category":"page"},{"location":"#Contributors","page":"FDTDEngine.jl","title":"Contributors","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Paul Shen ","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"2024 (c) Paul Shen","category":"page"}] +[{"location":"guide/#","page":"-","title":"","text":"","category":"section"},{"location":"guide/","page":"-","title":"-","text":"Engineers run simulations to improve designs. Each time the design changes, the simulation is re-run. This can be done systematically in \"parameter sweeps\" where different combinations of parameter values are simulated to determine the best design. However, this scales exponentially wrt the number of parameters or DOFs. ","category":"page"},{"location":"guide/#General-workflow","page":"-","title":"General workflow","text":"","category":"section"},{"location":"guide/","page":"-","title":"-","text":"We use gradient descent, the same as in machine learning. In lieu of optimizing neural network parameters, we're optimizing geometry (or source) parameters. In each training iteration, we generate geometry, run the simulation, calculate the objective metric, and do a backward pass to derive the gradient wrt the geometry parameters. We then do a gradient based parameter update in preparation for the next iteration.","category":"page"},{"location":"guide/","page":"-","title":"-","text":"The geometry is thus the first step. It typically has a static component which we can't change such as interfacing waveguides. Then there's a design component which we can change or optimize. The user is responsible for generating the design geometry wrt design parameters. If any pattern is allowed in the design region, our sister package Jello.jl can be used as a length scale controlled geometry generator. In any case, the result needs to be a 2d/3d array of each relevant materials property eg permitivity. ","category":"page"},{"location":"guide/","page":"-","title":"-","text":"With geometry ready, we can run the simulation. Duration is roughly the time it takes to reach steady state, such as how long it take for the signal to reach output port. The objective is usually a steady state metric which can be computed using values from the final period. We optimize geometry for some objective. ","category":"page"},{"location":"#FDTDEngine.jl","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"First stable release with GPU support planned for end of 02/2024. Currently Prerelease. Expect breaking changes Only 3d works in latest patch. 2d/1d will be fixed in future.","category":"page"},{"location":"#Overview","page":"FDTDEngine.jl","title":"Overview","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Differentiable FDTD package for inverse design & topology optimization in photonics, acoustics and RF. Uses automatic differentiation by Zygote.jl for adjoint optimization. Integrates with Jello.jl to generate length scale controlled paramaterized geometry . Staggered Yee grid update with fully featured boundary conditions & sources. Customizable physics to potentially incorporate dynamics like heat transfer, charge transport.","category":"page"},{"location":"#Gallery","page":"FDTDEngine.jl","title":"Gallery","text":"","category":"section"},{"location":"#Periodic-scattering","page":"FDTDEngine.jl","title":"Periodic scattering","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"(Image: )","category":"page"},{"location":"#Quarter-wavelength-antenna","page":"FDTDEngine.jl","title":"Quarter wavelength antenna","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"(Image: )","category":"page"},{"location":"#Inverse-design-of-compact-silicon-photonic-splitter-(coming-soon)","page":"FDTDEngine.jl","title":"Inverse design of compact silicon photonic splitter (coming soon)","text":"","category":"section"},{"location":"#Quickstart","page":"FDTDEngine.jl","title":"Quickstart","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"We do a quick 3d simulation of plane wave scattering on periodic array of dielectric spheres (first gallery movie)","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"\"\"\"\nsimulation of plane wave scattering on periodic array of dielectric spheres\n\"\"\"\n\nusing UnPack, LinearAlgebra, GLMakie\n# using FDTDEngine,FDTDToolkit\ndir = pwd()\ninclude(\"$(dir)/src/main.jl\")\ninclude(\"$dir/../FDTDToolkit.jl/src/main.jl\")\n\n\nname = \"3d_scattering\"\nT = 8.0f0 # simulation duration in [periods]\nnres = 16\ndx = 1.0f0 / nres # pixel resolution in [wavelengths]\n\n\"geometry\"\nl = 2 # domain physical size length\nsz = nres .* (l, l, l) # domain voxel dimensions\nϵ1 = ϵmin = 1 #\nϵ2 = 2.25f0 # \nb = F.([norm(v .- sz ./ 2) < 0.5 / dx for v = Base.product(Base.oneto.(sz)...)]) # sphere\nϵ = ϵ2 * b + ϵ1 * (1 .- b)\n\n\"setup\"\nboundaries = [Periodic(2), Periodic(3)]# unspecified boundaries default to PML\nsources = [\n PlaneWave(t -> cos(F(2π) * t), -1; Jz=1) # Jz excited plane wave from -x plane (eg -1)\n]\nn = [1, 0, 0] # normal \nδ = 0.2f0 # margin\n# A = (l - δ)^2\nlm = 1 # monitor side length\nmonitors = [\n Monitor([δ, l / 2, l / 2], [0, lm, lm], n,), # (center, dimensions, normal)\n Monitor([l - δ, l / 2, l / 2], [0, lm, lm], n,),\n]\nconfigs = setup(boundaries, sources, monitors, dx, sz; ϵmin, T)\n@unpack μ, σ, σm, dt, geometry_padding, geometry_splits, field_padding, source_instances, monitor_instances, u0, = configs\n\nϵ, μ, σ, σm = apply(geometry_padding; ϵ, μ, σ, σm)\np = apply(geometry_splits; ϵ, μ, σ, σm)\n\n\n# run simulation\nt = 0:dt:T\nu = [[similar.(a) for a = u0] for t = t]\nu[1] = u0\n@showtime reduce(\n (u, (u1, t)) -> step!(u1, u, p, t, dx, dt, field_padding, source_instances),\n zip(u[2:end], t[1:end-1]),\n init=u0)\ny = hcat([power.((m,), u) for m = monitor_instances]...)\n\n# make movie\nEz = map(u) do u\n u[1][3]\nend\nϵz = p[1][3]\ndir = @__DIR__\n\nrecordsim(\"$dir/$(name)_nres_$nres.mp4\", Ez, y;\n dt,\n monitor_instances,\n source_instances,\n geometry=ϵz,\n elevation=30°,\n playback=1,\n axis1=(; title=\"$name\\nEz\"),\n axis2=(; title=\"monitor powers\"),\n)\n","category":"page"},{"location":"#Installation","page":"FDTDEngine.jl","title":"Installation","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Install via ","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Pkg.add(url=\"https://github.com/paulxshen/FDTDEngine.jl\")\nPkg.add(url=\"https://github.com/paulxshen/FDTDToolkit.jl\")","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"FDTDToolkit.jl contains visualization utilities","category":"page"},{"location":"#Implementation","page":"FDTDEngine.jl","title":"Implementation","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Supports 1d (Ez, Hy), 2d TMz (Ez, Hx, Hy), 2d TEz (Hz, Ex, Ey) and 3d. Length and time are in units of wavelength and period. This normalization allows usage of relative permitivity and permeability in equations . Fields including electric, magnetic and current density are simply bundled as a vector of vectors of arrays . Boundary conditions pad the field arrays . PML paddings are multilayered, while All other boundaries add single layers. Paddings are stateful and permanent, increasing the size of field and geometry arrays. Finite differencing happens every update step and are coordinated to implictly implement a staggered Yee's grid .","category":"page"},{"location":"#Sources","page":"FDTDEngine.jl","title":"Sources","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"If a source has fewer nonzero dimensions than the simulation domain, its signal will get normalized along its singleton dimensions. For example, all planar sources in 3d or line sources in 2d will get scaled up by a factor of 1/dx. This way, discretisation would not affect radiated power.","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"PlaneWave\nSource","category":"page"},{"location":"#PlaneWave","page":"FDTDEngine.jl","title":"PlaneWave","text":"function PlaneWave(f, dims; fields...)\n\nConstructs plane wave source\n\nArgs\n\nf: time function\ndims: eg -1 for wave coming from -x face\nfields: which fields to excite & their scaling constants (typically a current source, eg Jz=1)\n\n\n\n\n\n","category":"type"},{"location":"#Source","page":"FDTDEngine.jl","title":"Source","text":"function Source(f, c, lb, ub, label=\"\"; fields...)\nfunction Source(f, c, L, label=\"\"; fields...)\n\nConstructs custom source. Can be used to specify uniform or modal sources\n\nArgs\n\nf: time function\nc: origin or center of source\nlb: lower bounds wrt to c\nub: upper bounds wrt to c\nL: source dimensions in [wavelengths]\nfields: which fields to excite & their scaling constants (typically a current source, eg Jz=1)\n\n\n\n\n\n","category":"type"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"","category":"page"},{"location":"#Boundaries","page":"FDTDEngine.jl","title":"Boundaries","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Unspecified boundaries default to PML ","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Periodic\nPML\nPEC\nPMC","category":"page"},{"location":"#Periodic","page":"FDTDEngine.jl","title":"Periodic","text":"Periodic(dims)\n\nperiodic boundary\n\n\n\n\n\n","category":"type"},{"location":"#PML","page":"FDTDEngine.jl","title":"PML","text":"function PML(dims, d=0.25f0, σ=20.0f0)\n\nConstructs perfectly matched layers (PML aka ABC, RBC) boundary of depth d wavelengths Doesn't need to be explictly declared as all unspecified boundaries default to PML\n\n\n\n\n\n","category":"type"},{"location":"#PEC","page":"FDTDEngine.jl","title":"PEC","text":"PEC(dims)\n\nperfect electrical conductor dims: eg -1 for -x side\n\n\n\n\n\n","category":"type"},{"location":"#PMC","page":"FDTDEngine.jl","title":"PMC","text":"PMC(dims)\n\nperfect magnetic conductor\n\n\n\n\n\n","category":"type"},{"location":"#Monitors","page":"FDTDEngine.jl","title":"Monitors","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Monitor\npower\npower_density","category":"page"},{"location":"#Monitor","page":"FDTDEngine.jl","title":"Monitor","text":"function Monitor(c, L, n=nothing)\n\nConstructs monitor which can span a point, line, surface, or volume monitoring fields or power\n\nArgs\n\nc: origin or center of monitor\nL: physical dimensions of monitor\nn: flux monitor direction (eg normal to flux surface)\n\n\n\n\n\n","category":"type"},{"location":"#power","page":"FDTDEngine.jl","title":"power","text":"function power(m::MonitorInstance, u)\n\ntotal power (Poynting flux) passing thru monitor surface\n\n\n\n\n\n","category":"function"},{"location":"#power_density","page":"FDTDEngine.jl","title":"power_density","text":"function power_density(m::MonitorInstance, u)\n\npower density (avg Poynting flux) passing thru monitor surface\n\n\n\n\n\n","category":"function"},{"location":"#Physics","page":"FDTDEngine.jl","title":"Physics","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"step!","category":"page"},{"location":"#step!","page":"FDTDEngine.jl","title":"step!","text":"function step3(u, p, t, field_padding, source_instances)\n\nUpdates fields for 3d\n\n\n\n\n\nfunction step3(u, p, t, field_padding, source_instances)\n\nUpdates fields for 3d\n\n\n\n\n\n","category":"function"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":" ","category":"page"},{"location":"#Automatic-differentiation-adjoints","page":"FDTDEngine.jl","title":"Automatic differentiation adjoints","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Compatible with Zygote.jl and Flux.jl","category":"page"},{"location":"#Tutorials","page":"FDTDEngine.jl","title":"Tutorials","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"see examples/","category":"page"},{"location":"#Generative-inverse-design","page":"FDTDEngine.jl","title":"Generative inverse design","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Please contact us for latest scripts.","category":"page"},{"location":"#Comparison-with-other-FDTD-software","page":"FDTDEngine.jl","title":"Comparison with other FDTD software","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Our focus is on inverse design and topology optimization using adjoints from automatic differentiation. We love a streamlined API backed by a clear, concise and extensible codebase. Attention is paid to speed and malloc but that's not our main concern.","category":"page"},{"location":"#Community","page":"FDTDEngine.jl","title":"Community","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Discussion & updates at Julia Discourse","category":"page"},{"location":"#Contributors","page":"FDTDEngine.jl","title":"Contributors","text":"","category":"section"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"Paul Shen ","category":"page"},{"location":"","page":"FDTDEngine.jl","title":"FDTDEngine.jl","text":"2024 (c) Paul Shen","category":"page"}] } diff --git a/examples/3d_dipole_antenna/3d_quarter_wavelength_antenna_nres_16.mp4 b/examples/3d_dipole_antenna/3d_quarter_wavelength_antenna_nres_16.mp4 new file mode 100644 index 0000000000000000000000000000000000000000..61624c519c0519abd5090e715770a4f74a1d1577 GIT binary patch literal 84886 zcmX_nV{|1=)NUrWG4Y9=oY=N)+d8prO+2w}PcX6VWG2SMwsZ4--@W%oSM7RgKf5-1 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z+9U81L<@uP4^TKZNd6Q=mx5pnL|20F3JC5&GJzoM0fIqK82^90Z0S z`VfSRKK+gdQ52F9%F$xO* z2Ew@@0NoqJANe#8{E=4x;U cos(F(2π) * t), [l / 2, l / 2, 0.125f0], [0, 0, 0.25f0]; Jz=1), ] @@ -35,8 +35,12 @@ p = apply(geometry_splits; ϵ, μ, σ, σm) # run simulation t = 0:dt:T -u = similar([u0], length(t)) -@showtime u = accumulate!((u, t) -> step!(u, p, t, dx, dt, field_padding, source_instances), u, t, init=deepcopy(u0)) +u = [[similar.(a) for a = u0] for t = t] +u[1] = u0 +@showtime reduce( + (u, (u1, t)) -> step!(u1, u, p, t, dx, dt, field_padding, source_instances), + zip(u[2:end], t[1:end-1]), + init=u0) y = hcat([power.((m,), u) for m = monitor_instances]...) Ez = map(u) do u diff --git a/examples/3d_periodic_scattering/3d_periodic_scattering.jl b/examples/3d_periodic_scattering/3d_periodic_scattering.jl index 2c55960..c8dfe44 100644 --- a/examples/3d_periodic_scattering/3d_periodic_scattering.jl +++ b/examples/3d_periodic_scattering/3d_periodic_scattering.jl @@ -44,8 +44,12 @@ p = apply(geometry_splits; ϵ, μ, σ, σm) # run simulation t = 0:dt:T -u = similar([u0], length(t)) -@showtime u = accumulate!((u, t) -> step!(u, p, t, dx, dt, field_padding, source_instances), u, t, init=deepcopy(u0)) +u = [[similar.(a) for a = u0] for t = t] +u[1] = u0 +@showtime reduce( + (u, (u1, t)) -> step!(u1, u, p, t, dx, dt, field_padding, source_instances), + zip(u[2:end], t[1:end-1]), + init=u0) y = hcat([power.((m,), u) for m = monitor_instances]...) # make movie diff --git a/examples/3d_periodic_scattering/3d_scattering_nres_16.mp4 b/examples/3d_periodic_scattering/3d_scattering_nres_16.mp4 new file mode 100644 index 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zV+oW6{eX*sczIw0<(Sri9Z2Rqzz*8Q4z7Ng$^a(<49f1 step!(u, p, t, dx, dt, field_padding, source_instances;), 0:dt:T-1, init=deepcopy(u0)) + # y = reduce(((u, y), t) -> ( + # step!(u, p, t, dx, dt, field_padding, source_instances), + # y + dt * power.(monitor_instances, (u,)) + # ), + # T-1+dt:dt:T, + # init=(u, zeros(F, length(monitor_instances))))[2] u = reduce((u, t) -> step!(u, p, t, dx, dt, field_padding, source_instances;), 0:dt:T-1, init=deepcopy(u0)) y = reduce(((u, y), t) -> ( step!(u, p, t, dx, dt, field_padding, source_instances), diff --git a/makedocs/src/index.md b/makedocs/src/index.md index 0d9799c..7c27b6a 100644 --- a/makedocs/src/index.md +++ b/makedocs/src/index.md @@ -13,8 +13,16 @@ Differentiable FDTD package for inverse design & topology optimization in photon ## Quickstart We do a quick 3d simulation of plane wave scattering on periodic array of dielectric spheres (first gallery movie) ```julia +""" +simulation of plane wave scattering on periodic array of dielectric spheres +""" + using UnPack, LinearAlgebra, GLMakie -using FDTDEngine,FDTDToolkit +# using FDTDEngine,FDTDToolkit +dir = pwd() +include("$(dir)/src/main.jl") +include("$dir/../FDTDToolkit.jl/src/main.jl") + name = "3d_scattering" T = 8.0f0 # simulation duration in [periods] @@ -51,8 +59,12 @@ p = apply(geometry_splits; ϵ, μ, σ, σm) # run simulation t = 0:dt:T -u = similar([u0], length(t)) -@showtime u = accumulate!((u, t) -> step!(u, p, t, dx, dt, field_padding, source_instances), u, t, init=deepcopy(u0)) +u = [[similar.(a) for a = u0] for t = t] +u[1] = u0 +@showtime reduce( + (u, (u1, t)) -> step!(u1, u, p, t, dx, dt, field_padding, source_instances), + zip(u[2:end], t[1:end-1]), + init=u0) y = hcat([power.((m,), u) for m = monitor_instances]...) # make movie @@ -72,6 +84,7 @@ recordsim("$dir/$(name)_nres_$nres.mp4", Ez, y; axis1=(; title="$name\nEz"), axis2=(; title="monitor powers"), ) + ``` ## Installation Install via @@ -109,7 +122,7 @@ power_density ## Physics ```@docs -step3! +step! ``` diff --git a/src/maxwell.jl b/src/maxwell.jl index 2aea232..a5368c4 100644 --- a/src/maxwell.jl +++ b/src/maxwell.jl @@ -1,12 +1,13 @@ """ - function step3(u, p, t, field_padding, source_instances) + function step!(u1, u, p, t, field_padding, source_instances) -Updates fields for 3d +Updates fields for 3d. Writes new field into buffer array u1 """ -function step3!(u, p, t, dx, dt, field_padding, source_instances) +function step!(u1, u, p, t, dx, dt, field_padding, source_instances) ∇ = StaggeredDel([dx, dx, dx]) ϵ, μ, σ, σm = p E, H = u + E1, H1 = u1 J = apply(source_instances, t; Jx=0, Jy=0, Jz=0) # first update E @@ -14,14 +15,13 @@ function step3!(u, p, t, dx, dt, field_padding, source_instances) H = mark(field_padding; Hx, Hy, Hz) dEdt = (∇ × H - σ * E - J) / ϵ - E_ = bufferfrom.(E) + E_ = bufferfrom.(E1) for i = 1:3 E_[i][:, :, :] = E[i] + dEdt[i] * dt end Ex, Ey, Ez = [copy(E_[1]), copy(E_[2]), copy(E_[3])] # E .= E + dEdt * dt - Ex, Ey, Ez = E apply!(field_padding; Ex, Ey, Ez) H = collect.(H) @@ -29,21 +29,21 @@ function step3!(u, p, t, dx, dt, field_padding, source_instances) E = mark(field_padding; Ex, Ey, Ez) dHdt = -(∇ × E .+ σm * H) / μ - H_ = bufferfrom.(H) + H_ = bufferfrom.(H1) for i = 1:3 H_[i][:, :, :] = H[i] + dHdt[i] * dt end Hx, Hy, Hz = [copy(H_[1]), copy(H_[2]), copy(H_[3])] # H .= H + dHdt * dt - Hx, Hy, Hz = H apply!(field_padding; Hx, Hy, Hz) - E = collect(collect.(E)) - H = [Hx, Hy, Hz] + # E = collect(collect.(E)) + # H = [Hx, Hy, Hz] - [E, H] + # [E, H] + u1 end -step! = step3! +step3! = step! # Flux.trainable(m::PaddedArray) = (; a=m.a) """

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