Modeling random screens for predefined electromagnetic Gaussian-Schell model sources.

Xifeng Xiao,Santasri R Bose-Pillai,David G Voelz,Milo W Hyde

doi:10.1364/oe.25.003656

Abstract

In a previous paper [Opt. Express22, 31691 (2014)] two different wave optics methodologies (phase screen and complex screen) were introduced to generate electromagnetic Gaussian Schell-model sources. A numerical optimization approach based on theoretical realizability conditions was used to determine the screen parameters. In this work we describe a practical modeling approach for the two methodologies that employs a common numerical recipe for generating correlated Gaussian random sequences and establish exact relationships between the screen simulation parameters and the source parameters. Both methodologies are demonstrated in a wave-optics simulation framework for an example source. The two methodologies are found to have some differing features, for example, the phase screen method is more flexible than the complex screen in terms of the range of combinations of beam parameter values that can be modeled. This work supports numerical wave optics simulations or laboratory experiments involving electromagnetic Gaussian Schell-model sources.

Highlights

The electromagnetic Gaussian Schell-model (EGSM) source is a partially coherent, partially polarized optical beam
We have introduced a practical approach for generating random phase-only screens and complex screens for modeling EGSM beam sources
These results can be applied in numerical wave optics simulations or in laboratory experiments where the screens can be implemented on a device such as spatial light modulators

Summary

Introduction

The electromagnetic Gaussian Schell-model (EGSM) source is a partially coherent, partially polarized optical beam. Averaging the output intensity patterns over many independent realizations of the screens produces the EGSM beam result. A numerical optimization approach based on previously developed realizability conditions [5,6] was used to find the PS parameters; deterministic relationships between the source and PS parameters were not identified. We introduce a well-known relationship for generating correlated Gaussian random sequences and proceed through an analytic development that precisely defines the relationships between the source and the PS and CS parameters. A computer simulation of an EGSM source and propagation of the beam demonstrates the utility of the approach

Source definition

PS approach

CS approach

Simulation design example

Simulation results

Conclusions