Paraxial wave propagation: Operator techniques

Fuente: arXiv
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Autori principali: Moya-Cessa, H. M., Ramos-Prieto, I., Soto-Eguibar, F., Ruíz, U., la Llave, D. Sánchez-de
Natura: Preprint
Pubblicazione: 2024
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author Moya-Cessa, H. M.
Ramos-Prieto, I.
Soto-Eguibar, F.
Ruíz, U.
la Llave, D. Sánchez-de
author_facet Moya-Cessa, H. M.
Ramos-Prieto, I.
Soto-Eguibar, F.
Ruíz, U.
la Llave, D. Sánchez-de
contents The similarity between the Schrödinger equation and the paraxial wave equation permits numerous analogies linking these fields, which is pivotal in advancing both quantum mechanics and wave optics. In this study, we demonstrate the application of operator techniques to an electromagnetic field characterized by the function $f(x + ay)$, leveraging the structural analogies between these equations. Specifically, we employ initial conditions defined by Airy and Bessel functions to illustrate the practical implementation of these techniques.
format Preprint
id arxiv_https___arxiv_org_abs_2407_19598
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Paraxial wave propagation: Operator techniques
Moya-Cessa, H. M.
Ramos-Prieto, I.
Soto-Eguibar, F.
Ruíz, U.
la Llave, D. Sánchez-de
Optics
The similarity between the Schrödinger equation and the paraxial wave equation permits numerous analogies linking these fields, which is pivotal in advancing both quantum mechanics and wave optics. In this study, we demonstrate the application of operator techniques to an electromagnetic field characterized by the function $f(x + ay)$, leveraging the structural analogies between these equations. Specifically, we employ initial conditions defined by Airy and Bessel functions to illustrate the practical implementation of these techniques.
title Paraxial wave propagation: Operator techniques
topic Optics
url https://arxiv.org/abs/2407.19598