Monte Carlo simulations of three-dimensional electromagnetic Gaussian Schell-model sources

Area of Science:

• Optics and Photonics
• Computational Electromagnetics

Background:

• Stochastic electromagnetic fields are crucial in various optical applications.
• Simulating complex sources like the electromagnetic Gaussian-Schell model (EGSM) presents challenges.

Purpose of the Study:

• To develop a robust method for simulating three-dimensional (3D) EGSM sources with user-defined characteristics.
• To establish conditions for the realizability and accurate simulation of 3D EGSM sources.

Main Methods:

• Adaptation of the complex screen method for 3D stochastic electromagnetic fields.
• Derivation of equations linking source characteristics to random complex screen statistics.
• Development of a single criterion for source realizability and simulatability.

Main Results:

• A novel simulation method for 3D EGSM sources is presented.
• A realizability criterion is established, ensuring successful source simulation.
• Monte Carlo simulations confirm the accuracy of the proposed method.

Conclusions:

• The complex screen method effectively simulates 3D EGSM sources.
• The derived criterion guarantees the successful generation of specified EGSM sources.
• The method provides a valuable tool for research in optical beam propagation and imaging.