geoana.em.fdem.sigma_hat

geoana.em.fdem.sigma_hat(frequency, sigma, epsilon=8.8541878128e-12, quasistatic=False)

Compute the electrical conductivity including electric displacement.

Where \(\sigma\) is the electrical conductivity, \(\varepsilon\) is the dielectric permittivity and \(\omega\) is the angular frequency, this function returns:

\[\hat{\sigma} = \sigma + i \omega \varepsilon\]

Parameters:

frequencyfloat, numpy.ndarray

frequency or frequencies (Hz)

sigmafloat

electrical conductivity (S/m)

epsilonfloat (optional)

dielectric permittivity (F/m). Default: \(\epsilon_0 = 8.85 \times 10^{-12}\) F/m

quasistaticbool (optional)

use the quasi-static assumption; i.e. ignore the dielectric term. Default: False

Returns:

complex, (n_frequencies) numpy.ndarray

Conductivity with electric displacement for all frequencies provided