Cauchy-Riemann beams in GRIN media

We investigate the propagation characteristics of Cauchy-Riemann beams in gradient-index media. Our study reveals two key findings: a) the preservation of their form during propagation, and b) surprisingly, the feasibility of obtaining the fractional Fourier transform for any arbitrary entire functi...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2023-11
Main Authors: Ramos-Prieto, I, Sánchez-de-la-Llave, D, Ruíz, U, Arrizón, V, Soto-Eguibar, F, Moya-Cessa, H M
Format: Article
Language:English
Subjects:
Complex media
Entire functions
Fourier transforms
Wave propagation
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We investigate the propagation characteristics of Cauchy-Riemann beams in gradient-index media. Our study reveals two key findings: a) the preservation of their form during propagation, and b) surprisingly, the feasibility of obtaining the fractional Fourier transform for any arbitrary entire function. We provide an explicit and straightforward expression for this transform. Additionally, our results contribute to a deeper understanding of the behavior of Cauchy-Riemann beams in complex media, offering insights that may have implications for various applications in optics and wave propagation.
ISSN:2331-8422