Anomalous skin effect for anisotropic electron velocity distribution function

The anomalous skin effect in a plasma with a highly anisotropic electron velocity distribution function (EVDF) is very different from the skin effect in a plasma with isotropic EVDF. An analytical solution was derived for the electric field penetrated into plasma with the EVDF described as a Maxwellian with two temperatures $Tx≫Tz,$ where $x$ is the direction along the plasma boundary and $z$ is the direction perpendicular to the plasma boundary. The skin layer was found to consist of two distinct regions of width of order $vTx/ω$ and $vTz/ω,$ where $vTx,z=Tx,z/m$ is the thermal electron velocity and ω is the incident wave frequency.