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arXiv · 2604.23881

Syncopated Bessel beams

Irán Ramos-Prieto·Ulises Ruíz·Israel Julián-Macías·Francisco Soto-Eguibar·David Sánchez-de-la-Llave·Héctor M. Moya-Cessa
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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.

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Irán Ramos-Prieto, Ulises Ruíz, Israel Julián-Macías, Francisco Soto-Eguibar, David Sánchez-de-la-Llave, Héctor M. Moya-Cessa. 2026-04-26. Syncopated Bessel beams. https://arxiv.org/abs/2604.23881

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