Hollow Gaussian Schell-model beam and its propagation

TL;DR

This paper introduces a new model called hollow Gaussian-Schell model beams (HGSMBs) for describing dark hollow beams, deriving an analytical propagation formula, and demonstrating how spatial coherence influences their propagation.

Contribution

The paper presents the first analytical propagation formula for HGSMBs, enabling easier analysis of partially coherent dark hollow beam propagation.

Findings

Propagation properties are significantly affected by spatial coherence.

The model simplifies analysis of dark hollow beam propagation.

Application example illustrates coherence influence on beam behavior.

Abstract

In this paper, we present a new model, hollow Gaussian-Schell model beams (HGSMBs), to describe the practical dark hollow beams. An analytical propagation formula for HGSMBs passing through a paraxial first-order optical system is derived based on the theory of coherence. Based on the derived formula, an application example showing the influence of spatial coherence on the propagation of beams is illustrated. It is found that the beam propagating properties of HGSMBs will be greatly affected by their spatial coherence. Our model provides a very convenient way for analyzing the propagation properties of partially coherent dark hollow beams.