simpeg.electromagnetics.time_domain.Simulation1DLayered.compute_complex_mu#

Simulation1DLayered.compute_complex_mu(frequencies)[source]#

Computes the complex magnetic permeability matrix assuming a log-uniform distribution of time-relaxation constants:

Parameters:
frequencies(n_frequencies,) array

Array with frequencies.

Returns:
out(n_layers, n_frequencies) array

The complex magnetic susceptibility matrix.

Notes

Formulation is:

\[\chi (\omega ) = \chi + \Delta \chi \Bigg [ 1 - \Bigg ( \frac{1}{ln (\tau_2 / \tau_1 )} \Bigg ) ln \Bigg ( \frac{1 + i\omega \tau_2}{1 + i\omega tau_1} ) \Bigg ) \Bigg ]\]