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Poynting vector for Cauchy-Riemann beams

2024/10/17 by Israel Julián-Macías, Francisco Soto‐Eguibar, Julián-Macías, I. +11
Engineering · #Composite Structure Analysis and Optimization #Dynamics and Control of Mechanical Systems #Elasticity and Wave Propagation #FOS: Physical sciences #Optics (physics.optics)

paper · pdf · doi:10.48550/arxiv.2410.14015

openalex publication_date 2024/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a detailed derivation of the Poynting vector for Cauchy-Riemann beams propagating in free space considering a Gaussian modulation with g ∈ 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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