get_h_field¶

emg3d.fields.get_h_field(grid, model, field)[source]¶

Return magnetic field corresponding to provided electric field.

Retrieve the magnetic field \(\mathbf{H}\) from the electric field \(\mathbf{E}\) using Farady’s law, given by

\[\nabla \times \mathbf{E} = \rm{i}\omega\mu\mathbf{H} .\]

Note that the magnetic field in x-direction is defined in the center of the face defined by the electric field in y- and z-directions, and similar for the other field directions. This means that the provided electric field and the returned magnetic field have different dimensions:

E-field:  x: [grid.cell_centers_x,  grid.nodes_y,  grid.nodes_z]
          y: [ grid.nodes_x, grid.cell_centers_y,  grid.nodes_z]
          z: [ grid.nodes_x,  grid.nodes_y, grid.cell_centers_z]

H-field:  x: [ grid.nodes_x, grid.cell_centers_y, grid.cell_centers_z]
          y: [grid.cell_centers_x,  grid.nodes_y, grid.cell_centers_z]
          z: [grid.cell_centers_x, grid.cell_centers_y,  grid.nodes_z]

Parameters:	grid : TensorMesh Model grid; `TensorMesh` instance. model : Model Model; `Model` instance. field : Field Electric field; `Field` instance.
Returns:	hfield : Field Magnetic field; `Field` instance.