Polarization monotones of two-dimensional and three-dimensional random electromagnetic fields

TL;DR

This paper introduces a resource-theoretic framework to quantify polarization in 2D and 3D random electromagnetic fields, unifying and recovering existing polarization measures through majorization and convex mixing.

Contribution

It develops a formal approach that systematically characterizes polarization degrees, connecting spectral polarization matrices with majorization and convex mixing principles.

Findings

Unified framework for polarization quantification

Recovers known polarization measures within the new approach

Provides a systematic method for analyzing polarization degrees

Abstract

We propose a formal resource-theoretic approach to quantify the degree of polarization of two and three-dimensional random electromagnetic fields. This endows the space of spectral polarization matrices with the orders induced by majorization or convex mixing that naturally recover the best-known polarization measures.