Orthogonalization Properties of Linear Deterministic Polarization Elements

TL;DR

This paper investigates the conditions under which linear anisotropic polarization elements orthogonalize multiple polarization states, providing criteria, analyzing different anisotropy types, and illustrating the orthogonalized states on the Poincare sphere.

Contribution

It derives an inequality criterion for orthogonalization and analyzes the orthogonalization properties of various anisotropic polarization elements.

Findings

Orthogonalization occurs under specific anisotropy parameter conditions.

The paper identifies which polarization states are orthogonalized.

Loci of orthogonalized states are illustrated on the Poincare sphere.

Abstract

The conditions under which a linear anisotropic polarization element orthogonalizes several polarization states of input totally polarized light were studied in the paper. The criterion for orthogonalization was obtained in the form of inequality for anisotropy parameters. Orthogonalization properties of polarization elements with the most important anisotropy types were investigated. The parameters under which orthogonalization occurs, and the states that are orthogonalized were found. The loci of these states on the Poincare sphere were given for sake of illustration in each case.