On z-coherence of beams radiated by Schell-model sources with Gaussian profile

TL;DR

This paper derives a general analytical expression for the on-axis coherence and intensity distribution of Gaussian Schell-model sources, simplifying analysis for various coherence degrees and aiding in beam characterization.

Contribution

It provides a new, simplified analytical formula for the on-axis cross-spectral density of Gaussian Schell-model sources, applicable to a wide range of coherence conditions.

Findings

Derived a general expression for on-axis coherence

Simplified formulas for common coherence degrees

Facilitates beam analysis of Gaussian Schell-model sources

Abstract

The degree of coherence and the intensity distribution on the axis of the beam radiated by a planar partially coherent source of the Schell-model type are investigated. We present an expression for the on-axis cross-spectral density which is valid for a very general Schell-model source, with the only constraint that the intensity distribution across the source is Gaussian. Furthermore, we show that such an expression takes very simple analytical forms for several commonly used degrees of coherence of the source.