geoana.em.fdem.MagneticDipoleLayeredHalfSpace.skin_depth

property MagneticDipoleLayeredHalfSpace.skin_depth

Returns the skin depth for an electromagnetic wave in a homogeneous isotropic medium.

The skin depth is the propagation distance at which an EM planewave has decayed by a factor of \(1/e\). For a homogeneous medium with non-dispersive electrical conductivity \(\sigma\), magnetic permeability \(\mu\) and dielectric permittivity \(\varepsilon\), the skin depth for a wave at frequency \(f\) is given by:

\[\delta = \frac{1}{\omega} \Bigg (\frac{\mu \varepsilon}{2} \bigg [ \bigg ( 1 + \frac{\sigma^2}{\omega^2 \varepsilon^2} \bigg )^{1/2} - 1 \bigg ] \Bigg )^{1/2}\]

where \(\omega\) is the angular frequency:

\[\omega = 2 \pi f\]

For the quasistatic approximation, dielectric permittivity is ignore and the skin depth simplifies to:

\[\delta = \sqrt{\frac{2}{\omega \sigma \mu}}\]

Returns:

float

Skin depth for the EM planewave. Returns the quasistatic approximation if the property quasistatic of the class instance is True.