Closed-form expression for mutual intensity evolution of Hermite-Laguerre-Gaussian Schell-model beams

Area of Science:

• Optical physics
• Beam propagation
• Coherence theory

Background:

• Hermite-Laguerre-Gaussian Schell-model beams (HLG-SMBs) are important in optical systems.
• Understanding their mutual intensity (MI) evolution is crucial for analyzing beam characteristics.

Purpose of the Study:

• To derive a closed-form expression for the MI evolution of HLG-SMBs in rotationally symmetric systems.
• To provide a tool for analyzing intensity distribution and correlation functions.

Main Methods:

• Derivation of a comprehensive closed-form expression for MI.
• Analysis of beam propagation through optical systems.

Main Results:

• The MI of an HLG-SMB can be expressed as a linear superposition of MIs of lower-order modes.
• The derived expression facilitates analysis of intensity and correlation function evolution.
• Understanding of coherence singularity formation and modification during propagation.

Conclusions:

• The derived expression offers a simplified method for analyzing HLG-SMBs.
• This work enhances understanding of beam coherence and singularity dynamics in optical systems.