Difference between revisions of "G2fplanck.m"
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{{DISPLAYTITLE:g2fplanck.m}} __NOTOC__ | {{DISPLAYTITLE:g2fplanck.m}} __NOTOC__ | ||
| − | + | Returns the magnetic field gradient operators used by the imaging module within the Fokker-Planck formalism; the output cell array contains {Gx,Gy,Gz}, which should be added to the Hamiltonian with appropriate coefficients, and gradients are assumed linear and centred on the middle of the sample. | |
| − | Returns magnetic field gradient operators within the Fokker-Planck formalism | ||
==Syntax== | ==Syntax== | ||
| − | G=g2fplanck(spin_system,parameters) | + | G=g2fplanck(spin_system,parameters) |
| − | == | + | ==Parameters== |
| − | parameters.dims - a vector with one, two or three | + | parameters.dims - a vector with one, two or three |
elements giving the dimensions | elements giving the dimensions | ||
of the box, metres | of the box, metres | ||
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==Outputs== | ==Outputs== | ||
| − | G - a cell array with the three gradient operators | + | G - a cell array with the three gradient operators |
ordered as {Gx,Gy,Gz}, normalised to 1 T/m, empty | ordered as {Gx,Gy,Gz}, normalised to 1 T/m, empty | ||
matrices for non-exitent dimensions | matrices for non-exitent dimensions | ||
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==Notes== | ==Notes== | ||
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1. The direct product order is Z(x)Y(x)X(x)Spin, this corresponds to a column-wise vectorization of a 3D array with dimensions ordered as [X Y Z]. | 1. The direct product order is Z(x)Y(x)X(x)Spin, this corresponds to a column-wise vectorization of a 3D array with dimensions ordered as [X Y Z]. | ||
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==See also== | ==See also== | ||
| − | + | [[v2fplanck.m]], [[hydrodynamics.m]], [[imaging.m]], [[polyadic/inflate.m]], [[mri_2d_plot.m]], [[ngridpts.m]], [[phantoms.m]], [[Imaging_module]] | |
| − | [[v2fplanck.m]], [[hydrodynamics.m]], [[imaging.m]] | ||
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''Version 2.1, authors: [[Ilya Kuprov]], [[Ahmed Allami]]'' | ''Version 2.1, authors: [[Ilya Kuprov]], [[Ahmed Allami]]'' | ||
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Latest revision as of 19:36, 6 June 2026
Returns the magnetic field gradient operators used by the imaging module within the Fokker-Planck formalism; the output cell array contains {Gx,Gy,Gz}, which should be added to the Hamiltonian with appropriate coefficients, and gradients are assumed linear and centred on the middle of the sample.
Syntax
G=g2fplanck(spin_system,parameters)
Parameters
parameters.dims - a vector with one, two or three
elements giving the dimensions
of the box, metres
parameters.npts - a vector with one, two or three
elements giving number of points
in each dimension of the box
Outputs
G - a cell array with the three gradient operators
ordered as {Gx,Gy,Gz}, normalised to 1 T/m, empty
matrices for non-exitent dimensions
Notes
1. The direct product order is Z(x)Y(x)X(x)Spin, this corresponds to a column-wise vectorization of a 3D array with dimensions ordered as [X Y Z].
2. Polyadic objects are returned, use polyadic/inflate.m to get the corresponding sparse matrix.
See also
v2fplanck.m, hydrodynamics.m, imaging.m, polyadic/inflate.m, mri_2d_plot.m, ngridpts.m, phantoms.m, Imaging_module
Version 2.1, authors: Ilya Kuprov, Ahmed Allami
