SimPEG.electromagnetics.frequency_domain.simulation.BaseFDEMSimulation#

class SimPEG.electromagnetics.frequency_domain.simulation.BaseFDEMSimulation(mesh, survey=None, forward_only=False, **kwargs)[source]#

Bases: SimPEG.electromagnetics.base.BaseEMSimulation

We start by looking at Maxwell’s equations in the electric field \(\mathbf{e}\) and the magnetic flux density \(\mathbf{b}\)

\[\begin{split}\mathbf{C} \mathbf{e} + i \omega \mathbf{b} = \mathbf{s_m} \\ {\mathbf{C}^{\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{b} - \mathbf{M_{\sigma}^e} \mathbf{e} = \mathbf{s_e}}\end{split}\]

if using the E-B formulation (Simulation3DElectricField or Simulation3DMagneticFluxDensity). Note that in this case, \(\mathbf{s_e}\) is an integrated quantity.

If we write Maxwell’s equations in terms of \(\mathbf{h}\) and current density \(\mathbf{j}\)

\[\begin{split}\mathbf{C}^{\top} \mathbf{M_{\rho}^f} \mathbf{j} + i \omega \mathbf{M_{\mu}^e} \mathbf{h} = \mathbf{s_m} \\ \mathbf{C} \mathbf{h} - \mathbf{j} = \mathbf{s_e}\end{split}\]

if using the H-J formulation (Simulation3DCurrentDensity or Simulation3DMagneticField). Note that here, \(\mathbf{s_m}\) is an integrated quantity.

The problem performs the elimination so that we are solving the system for \(\mathbf{e},\mathbf{b},\mathbf{j} \) or \(\mathbf{h}\)

Attributes

`forward_only`	If True, A-inverse not stored at each frequency in forward simulation.
`survey`	The simulations survey.

Methods

`Jtvec`(m, v[, f])	Sensitivity transpose times a vector
`Jvec`(m, v[, f])	Sensitivity times a vector.
`fields`([m])	Solve the forward problem for the fields.
`fieldsPair`	alias of `SimPEG.electromagnetics.frequency_domain.fields.FieldsFDEM`
`getSourceTerm`(freq)	Evaluates the sources for a given frequency and puts them in matrix form