Twisted Vortex Gaussian Schell-model Beams, Generalized ABCD Systems, and Multidimensional Hermite Polynomials
Document Type
Article
Publication Date
6-11-2024
Abstract
We derive the cross-spectral density (CSD) function for a twisted vortex partially coherent beam at the output of a general ABCD system in terms of multidimensional Hermite polynomials (MDHPs). MDHPs offer notational and computational advantages over prior CSD function representations that use common (one-dimensional) Hermite polynomials. We explain how to compute MDHPs using the recurrence relation given in the literature and include MATLAB code to generate MDHPs of any order. Lastly, we validate our work experimentally by comparing the measured spectral density of a twisted vortex beam at the output of an asymmetric optical system to predictions from our theoretical CSD function.
Source Publication
Journal of the Optical Society of America A
Recommended Citation
Milo W. Hyde, Benjamin C. Wilson, and Santasri R. Bose-Pillai, "Twisted vortex Gaussian Schell-model beams, generalized ABCD systems, and multidimensional Hermite polynomials," J. Opt. Soc. Am. A 41, 1319-1328 (2024)
Comments
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