Poynting vector for Cauchy-Riemann beams

I. JuliÃ¡n-MacÃ­as; F. Soto-Eguibar; I. Ramos Prieto; U. Ruiz; N. Korneev; D. SÃ¡nchez-de-la-Llave; H. M. Moya-Cessa

paper

Poynting vector for Cauchy-Riemann beams

arXiv:2410.14015

Abstract

We present a detailed derivation of the Poynting vector for Cauchy-Riemann beams propagating in free space considering a Gaussian modulation with $g \in C$ . The effect generated by this Gaussian modulation is a compression-expansion of the intensity distribution. It is shown that the parameter $g$ can reverse the direction of energy flux and eliminate the radial component, resulting in a purely azimuthal field. Additionally, we validate our analytical results through experimental verification.