Theoretical Analysis of Reflection and Refraction of Electromagnetic Waves on an Anisotropic, Inhomogeneous and Linear Medium

TL;DR

This paper presents a theoretical and computational analysis of how electromagnetic waves reflect and refract on complex anisotropic, inhomogeneous, and linear media, considering variable susceptibility tensors.

Contribution

It introduces a model for susceptibility as a rank-2 tensor dependent on frequency, position, and time, and applies it to compute transmittance and reflectance.

Findings

Validated the model with vacuum conditions.

Analyzed reflection and refraction in FeF₂ magnetic material.

Provided formulations for transmittance and reflectance.

Abstract

Theoretical and computational study of reflection and refraction of electromagnetic waves with $p$-polarized and normal incidence electric wave amplitude vector on anisotropic, inhomogeneous and linear medium has been done. The medium used in this study is a model of susceptibility in the form of rank-2 tensor which its value depends on the frequency, position and time. Theoretical and computational formulation of transmittance and reflectance are then tested using vacuum and FeF$_2$ magnetic material.