The study of birefringent homogenous medium with geometric phase

TL;DR

This paper investigates the optical properties of a birefringent medium, analyzing its geometric phase and circular birefringence using Jones calculus and the OAM sphere, revealing topological aspects of light propagation.

Contribution

It introduces a method to evaluate linear and circular birefringence and geometric phase in a homogeneous medium through differential matrix and orbital angular momentum analysis.

Findings

Birefringence properties are characterized via differential matrix N.

Geometric phase is linked to medium twisting and topological charge.

Circular birefringence visualized through solid angle and angular twist.

Abstract

The property of linear and circular birefringence at each point of the optical medium has been evaluated here from differential matrix $N$ using the Jones calculus.This matrix lies on the OAM sphere for $l=1$ orbital angular momentum.The geometric phase is developed by twisting the medium uniformly about the direction of propagation of the light ray. The circular birefringence of the medium,is visualized through the solid angle and the angular twist per unit thickness of the medium, $k$,that is equivalent to the topological charge of the optical element.