Topological Properties of Spatial Coherence Function

TL;DR

This paper explores the topological characteristics of the spatial coherence function, classifying phase singularities and analyzing their flux quantization and linking properties using topological invariants.

Contribution

It introduces a topological framework for classifying coherence vortices and studying their flux quantization and linking in the spatial coherence function.

Findings

Classification of coherence vortices by Hopf index and Brouwer degree

Analysis of coherence flux quantization

Study of linking of coherence vortices

Abstract

Topology of the spatial coherence function is considered in details. The phase singularity (coherence vortices) structures of coherence function are classified by Hopf index and Brouwer degree in topology. The coherence flux quantization and the linking of the closed coherence vortices are also studied from the topological properties of the spatial coherence function.