Reflection and refraction of light at the interface of a uniaxial bicrystal

Abstract

This paper deals with a theoretical analysis of the reflection and refraction of light at the interface of a bicrystal by use of Maxwell's equations. For a general case, the formulas of Snell's Law and the four Fresnel coefficients for the reflection and refraction of extraordinary light at the interface of a uniaxial bicrystal are derived for the first time, as well as the Brewster angle value. The condition for total reflection is presented and the electromagnetic fields distributions at both sides of a bicrystal are presented when total reflection occurs.

Negative reflection in a Faraday chiral medium

“…In the following sections we consider the phenomenon of negative reflection in FCMs. Negative reflection has previously been described for isotropic chiral mediums [13,14] and anisotropic dielectric mediums [15], but not to our knowledge for bianisotropic mediums.…”

“…(12)- (15) was solved at ϭ 4k 0 . With E 0j ⅐ E 0j * ϭ 1͑ j ʦ ͓1,4͔͒ ), we obtained: A 3 ϭ 0.006 Ϫ 0.079i, A 4 ϭ Ϫ0.892 Ϫ 0.372i, B s ϭ 0.078 Ϫ 0.306i, and B p ϭ Ϫ0.253 Ϫ 0.036i when A 1 and A 2 ϭ 0; and A 3 ϭ Ϫ0.921 Ϫ 0.477i, A 4 ϭ 0.073 Ϫ 0.071i, B s ϭ 0.106 Ϫ 0.380i, and B p ϭ 0.329 ϩ 0.070i when A 1 ϭ 0 and A 2 ϭ 1.…”