SimPEG.maps.ChiMap

class SimPEG.maps.ChiMap(mesh=None, nP=None, **kwargs)

Bases: IdentityMap

Mapping that computes the magnetic permeability given a set of magnetic susceptibilities.

Where \(\boldsymbol{\chi}\) is the input model parameters defining a set of magnetic susceptibilities, ChiMap creates a mapping \(\boldsymbol{\mu}(\boldsymbol{\chi})\) that computes the corresponding magnetic permeabilities of every element in \(\boldsymbol{\chi}\); i.e.:

\[\boldsymbol{\mu}(\boldsymbol{\chi}) = \mu_0 \big (1 + \boldsymbol{\chi} \big )\]

where \(\mu_0\) is the permeability of free space.

Parameters:

meshdiscretize.BaseMesh

The number of parameters accepted by the mapping is set to equal the number of mesh cells.

nPint

Set the number of parameters accepted by the mapping directly. Used if the number of parameters is known. Used generally when the number of parameters is not equal to the number of cells in a mesh.

Attributes

is_linear	Determine whether or not this mapping is a linear operation.
mesh	The mesh used for the mapping
nP	Number of parameters the mapping acts on.
shape	Dimensions of the mapping operator

Methods

deriv(m[, v])	Derivative of mapping with respect to the input parameters.
dot(map1)	Multiply two mappings to create a SimPEG.maps.ComboMap.
inverse(m)	Apply the inverse mapping to an array.
test([m, num])	Derivative test for the mapping.