Asymmetric Cauchy-Riemann Beams
Abstract
We investigate, theoretically and experimentally, the evolution of a paraxial beam propagating in free space when its initial transverse structure is characterized by an asymmetric Gaussian modulation combined with an entire function. Utilizing a quantum optics operator approach, our study specifically examines the effects of parameter variations within the Gaussian modulation on two entire functions: the Bessel function and the Airy function. Through this investigation, we aim to elucidate how these parameter variations influence the beam's propagation dynamics and the role played by the asymmetry of the Gaussian modulation in the propagation of such paraxial beams. Additionally, we provide a comprehensive method for computing the propagated field under these conditions.
Keywords
Cite
@article{arxiv.2408.11953,
title = {Asymmetric Cauchy-Riemann Beams},
author = {N. Korneev and I. Ramos-Prieto and I. Julián-Macías and U. Ruíz and F. Soto-Eguibar and D. Sánchez-de-la-Llave and H. M. Moya-Cessa},
journal= {arXiv preprint arXiv:2408.11953},
year = {2024}
}