Abstract
This article presents a method to simulate a three-dimensional (3D) electromagnetic Gaussian-Schell model (EGSM) source with desired characteristics. Using the complex screen method, originally developed for the synthesis of two-dimensional stochastic electromagnetic fields, a set of equations is derived which relate the desired 3D source characteristics to those of the statistics of the random complex screen. From these equations and the 3D EGSM source realizability conditions, a single criterion is derived, which when satisfied guarantees both the realizability and simulatability of the desired 3D EGSM source. Lastly, a 3D EGSM source, with specified properties, is simulated; the Monte Carlo simulation results are compared to the theoretical expressions to validate the method.
Highlights
The behavior of two-dimensional (2D) stochastic electromagnetic (EM) fields has and continues to be an important and popular topic of optics research [1,2,3,4,5,6]
Using the complex screen method [23,24,25], equations relating the desired 3D electromagnetic Gaussian-Schell model (EGSM) source parameters to the random complex screen parameters are derived. Using these equations and the realizability conditions developed in Ref. [22], a single criterion is found, which when satisfied guarantees that the desired 3D EGSM source is both realizable and simulatable
Any Γij combination that results in a point within the volume is both a realizable and simulatable 3D EGSM source
Summary
The behavior of two-dimensional (2D) stochastic electromagnetic (EM) fields has and continues to be an important and popular topic of optics research [1,2,3,4,5,6]. Using the complex screen method (originally developed for the synthesis of 2D random fields) [23,24,25], equations relating the desired 3D EGSM source parameters (source widths, spatial correlation radii, et cetera) to the random complex screen parameters are derived. Using these equations and the realizability conditions developed in Ref. This work can be put to immediate use in wave optics simulations of scenarios similar to those mentioned above
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
