Casimir effect for biaxial anisotropic plates with surface conductivity
N. Emelianova, I. V. Fialkovsky, N. Khusnutdinov

TL;DR
This paper derives the Casimir energy for a system of two anisotropic slabs with surface conductivity, providing a general scattering matrix and Fresnel coefficients by solving Maxwell equations.
Contribution
It introduces a comprehensive method to calculate Casimir energy for anisotropic materials with surface conductivity, extending previous models.
Findings
Derived general scattering matrix for anisotropic slabs
Obtained Fresnel coefficients considering surface conductivity
Provided a framework for Casimir energy calculation in complex media
Abstract
The Casimir energy is constructed for a system consisting of two semi-infinite slabs of anisotropic material. Each of them is characterized by bulk complex dielectric permittivity tensor and surface conductivity on the free boundary. We found general form of the scattering matrix and Fresnel coefficients for each part of the system by solving Maxwell equations in the anisotropic media.
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