Syncopated Bessel beams
Optics
2026-04-28 v1
Abstract
We introduce the syncopated Bessel beam, a new class of exact solutions to the paraxial equation obtained by means of a sinusoidal modulation of the azimuthal phase at the source. This modulation imposes a phase rhythm that deliberately breaks the azimuthal symmetry, analogous to musical syncopation, and triggers a topological transformation that deflects the propagation trajectory and shifts the beam's center of symmetry off the optical axis, while preserving its self-scaling invariance that can be explained by the Madelung-Bohm formalism. An exact analytical framework, supported by experimental validation, reveals the intrinsic structural robustness and preservation of topological properties through propagation.
Cite
@article{arxiv.2604.23881,
title = {Syncopated Bessel beams},
author = {Irán Ramos-Prieto and Ulises Ruíz and Israel Julián-Macías and Francisco Soto-Eguibar and David Sánchez-de-la-Llave and Héctor M. Moya-Cessa},
journal= {arXiv preprint arXiv:2604.23881},
year = {2026}
}