An algorithm for decoherence analyses of lights through three-dimensional periodic microstructures

TL;DR

This paper introduces a transfer-matrix algorithm to analyze how coherent light transmits through 3D periodic microstructures, incorporating decoherence effects for more realistic modeling of spatially coherent optics.

Contribution

It presents a novel transfer-matrix method that accounts for decoherence in light transmission through complex microstructures, extending previous models to include statistical noise effects.

Findings

Algorithm produces results consistent with Gaussian Schell model

Validates the approach for free-space coherent light analysis

Enables statistical study of partial spatial coherence in microstructures

Abstract

A transfer-matrix algorithm is presented herein as a beginning to study the transmission characteristics of coherent light through three-dimensional periodic microstructures, in which the structures are treated as two-dimensional-layer stacks and multiple reflections are considered negligible. The spatial-correlated noise is further introduced layer by layer to realize the actual decoherence of the light and allows for statistical investigation of the partial spatially coherent optics in transparent mediums. Numerical analyses show comparable results to the Gaussian Schell model in free-space cases, indicating the validity of the algorithms.