SimPEG.electromagnetics.natural_source.Simulation1DElectricField#

class SimPEG.electromagnetics.natural_source.Simulation1DElectricField(mesh, **kwargs)[source]#

1D finite volume simulation for the natural source electromagnetic problem.

This corresponds to the TE mode 2D simulation where the electric field is located at cell centers and the magnetic flux is on edges.

We are solving the discrete version of

\begin{align}\begin{aligned}\partial_z E_y = i \omega \mu_0 H_x = 0\\sigma E_y = \partial_z H_x\end{aligned}\end{align}

with default boundary conditions that $H_x[z_max] = 1$ (a plane wave source at the top of the domain), and $H_x[z_min] = 0$.

When we discretize, we obtain:

where the Magnetic field is defined on edges, and the electric field is defined on cell centers.

Methods

 fieldsPair getA(freq) System matrix getRHS(freq) Right hand side constructed using Dirichlet boundary conditions