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lucas-wilkins committed Dec 6, 2024
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21 changes: 20 additions & 1 deletion src/sas/qtgui/Utilities/MuMag/media/mumag_help.rst
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Expand Up @@ -6,6 +6,24 @@ MuMag Tool
Introduction
------------

MuMag is an analysis tool for calculating exchange stiffness constants, residual scattering, anisotropy field
and longitudinal magnetization based on unpolarized 1D SANS experiments with applied magnetic fields. The theory
behind this has been published `here <https://doi.org/10.1107/S1600576722005349>`_.

Given some scattering curve recorded at different applied field intensities, :math:`I(q, H)`, MuMag will break
the down these curves into two (in the case of parallel magnetic fields) and three, components (
for perpendicular fields relative to the beam). In the perpendicular case, the resulting linear
decomposition has the following form:

:math:`I(q, H) = I_res(q) + S_H(q) R_H(q, H) + S_M(q) R_M(q, H)`

Where :math:`R_H` and :math:`R_M` are known magnetic response functions (see the paper above), and :math:`I_res`,
:math:`S_H` and :math:`S_M` are non-field dependent terms: the residual scattering function,
the anisotropy field scattering function and the longitudinal magnetisation scattering function respectively.

In the parallel case :math:`S_M` and :math:`R_M` are zero.


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Expand Down Expand Up @@ -83,4 +101,5 @@ values of A (currently mean squared). This plot is useful to checking your probl
applied field changes, inferred from the data (see above for details)
* :math:`S_H` - Anisotropy field scattering function
* :math:`S_M` - Scattering function of the longitudinal magnetization
* `Comparison` -
* `Comparison` - Crosses show original data, lines show scattering curves reconstructed based on :math:`I_res`,
:math:`S_H` and :math:`S_M`

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