simpeg.electromagnetics.time_domain.Simulation3DCurrentDensity.getInitialFieldsDeriv#

Simulation3DCurrentDensity.getInitialFieldsDeriv(src, v, adjoint=False, f=None)[source]#

Derivative of the initial fields with respect to the model for a given source.

For a given source object src, let ${\mathbf{u}}_{\mathbf{0}}$ represent the initial fields discretized to the mesh. Where $\mathbf{m}$ are the model parameters and $\mathbf{v}$ is a vector, this method computes and returns:

$${\displaystyle \frac{\partial {\mathbf{u}}_{\mathbf{0}}}{\partial \mathbf{m}}}\mathbf{v}$$

or the adjoint operation:

$${{\displaystyle \frac{\partial {\mathbf{u}}_{\mathbf{0}}}{\partial \mathbf{m}}}}^T\mathbf{v}$$

Parameters:

srctime_domain.sources.BaseTDEMSrc

A TDEM source.

vnumpy.ndarray

A vector of appropriate dimension. When adjoint is False, v is a (n_param,) numpy.ndarray. When adjoint is True, v is a (n_edges or n_faces,) numpy.ndarray.

adjointbool

Whether to perform the adjoint operation.

ftime_domain.fields.BaseTDEMFields, optional

The TDEM fields object.

Returns:

numpy.ndarray

Derivatives of the initial fields with respect to the model for a given source. (n_edges or n_faces,) numpy.ndarray when adjoint is False. (n_param,) numpy.ndarray when adjoint is True.