Casimir effect for biaxial anisotropic plates with surface conductivity

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.

arXiv comment4 pages, 1 figure, to appear in MPLA proceedings of 4th Symposium On The Casimir Effect (10th Friedmann International Seminar)

References in corpus (7)

• Two Dimensional Atomic Crystals
• Weyl and Dirac Semimetals in Three Dimensional Solids
• A Materials Perspective on Casimir and van der Waals Interactions
• Casimir interaction of dielectric gratings
• Casimir Interactions for Anisotropic Magnetodielectric Metamaterials
• The quest for Casimir repulsion between Chern-Simons surfaces
• Casimir-Lifshitz Force for Nonreciprocal Media and Applications to Photonic Topological Insulators

Cited by in corpus (3)

• Casimir-Polder force and torque for anisotropic molecules close to conducting planes and their effects on CO${}_2$
• Qualitative chirality effects on the Casimir-Lifshitz torque with liquid crystals
• Interplay between finite thickness and chirality effects on the Casimir-Lifshitz torque with nematic cholesteric liquid crystals