Coherence for vectorial waves and majorization

TL;DR

This paper demonstrates that majorization is an effective framework for quantifying coherence in partially polarized electromagnetic waves, offering a new perspective and comparison with traditional measures.

Contribution

It introduces a formalism based on majorization for analyzing coherence in vectorial waves and compares it with existing polarization measures.

Findings

Majorization effectively characterizes coherence in vectorial waves.

The formalism provides new insights compared to standard polarization measures.

Examples illustrate the advantages of the majorization approach.

Abstract

We show that majorization provides a powerful approach to the coherence conveyed by partially polarized transversal electromagnetic waves. Here we present the formalism, provide some examples and compare with standard measures of polarization and coherence of vectorial waves.