Scaled propagation invariant Bessel beams

We present a new family of Bessel solutions of the paraxial equation. Such solutions keep their form during propagation because of a quadratic phase factor that makes them scaled propagation invariant fields. When a Gaussian support is incorporated, the solution loses its invariant properties, although, over some volume, it closely resembles a scaled propagation invariant field. The Bessel beams we introduce have the particularity that they present a very strong focusing effect and do not necessarily require a Gaussian support.

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Publication Details

Journal
Revista Mexicana de Física
Published
2025-07-01
DOI
https://doi.org/10.31349/revmexfis.71.041301
Primary Topic
Orbital Angular Momentum in Optics
Type
article
Field-Weighted Citation Impact
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article

Scaled propagation invariant Bessel beams

David Sánchez-de-la-Llave, Jorge A. Anaya-Contreras, I. Ramos-Prieto, Ulises Ruíz et al.
Revista Mexicana de Física
Orbital Angular Momentum in Optics
article

Scaled propagation invariant Bessel beams

David Sánchez-de-la-Llave, Jorge A. Anaya-Contreras, I. Ramos-Prieto, Ulises Ruíz, A. Zúñiga-Segundo, H. M. Moya-Cessa, Francisco Soto
article en

Abstract

We present a new family of Bessel solutions of the paraxial equation. Such solutions keep their form during propagation because of a quadratic phase factor that makes them scaled propagation invariant fields. When a Gaussian support is incorporated, the solution loses its invariant properties, although, over some volume, it closely resembles a scaled propagation invariant field. The Bessel beams we introduce have the particularity that they present a very strong focusing effect and do not necessarily require a Gaussian support.

Revista Mexicana de FísicaVol. 71(4 Jul-Aug)
National Institute of Astrophysics, Optics and Electronics (MX)
Openalex Percentile: Top 88%
Orbital Angular Momentum in Optics
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