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arXiv · 2410.14015

Poynting vector for Cauchy-Riemann beams

I. Julián-Macías·F. Soto-Eguibar·I. Ramos Prieto·U. Ruiz·N. Korneev·D. Sánchez-de-la-Llave·H. M. Moya-Cessa
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Abstract

We present a detailed derivation of the Poynting vector for Cauchy-Riemann beams propagating in free space considering a Gaussian modulation with $g \in \mathbb{C}$. 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.

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I. Julián-Macías, F. Soto-Eguibar, I. Ramos Prieto, U. Ruiz, N. Korneev, D. Sánchez-de-la-Llave, H. M. Moya-Cessa. 2024-10-17. Poynting vector for Cauchy-Riemann beams. https://arxiv.org/abs/2410.14015

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