Quasi-Probability Distribution Functions for Optical-Polarization

TL;DR

This paper introduces Quasi-Probability Distribution Functions for optical polarization using Cahill-Glauber C(s)-correspondence, offering practical insights over traditional SU(2) distributions, with applications demonstrated through bi-modal quadrature coherent states.

Contribution

It develops a new scheme for optical polarization QPDFs based on Cahill-Glauber correspondence, providing a more pragmatic approach than existing SU(2) quasi-distributions.

Findings

QPDFs evaluated for bi-modal quadrature coherent states

Numerical analysis demonstrates application potential

Provides clearer insights into optical polarization phase space

Abstract

Cahill-Glauber C(s)-correspondence is employed to construct Quasi-Probability Distribution Functions (QPDFs) for optical-polarization in phase space following equivalent description of polarization in Classical Optics. The proposed scheme provides pragmatic insights as compared to obscure SU (2) quasi-distributions on Poincare sphere. QPDF (Wigner function) of bi-modal quadrature coherent states is evaluated and numerically investigated to demonstrate the application.