Syncopated Bessel beams
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915960535908352 |
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| author | Ramos-Prieto, Irán Ruíz, Ulises Julián-Macías, Israel Soto-Eguibar, Francisco Sánchez-de-la-Llave, David Moya-Cessa, Héctor M. |
| author_facet | Ramos-Prieto, Irán Ruíz, Ulises Julián-Macías, Israel Soto-Eguibar, Francisco Sánchez-de-la-Llave, David Moya-Cessa, Héctor M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_23881 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Syncopated Bessel beams Ramos-Prieto, Irán Ruíz, Ulises Julián-Macías, Israel Soto-Eguibar, Francisco Sánchez-de-la-Llave, David Moya-Cessa, Héctor M. Optics 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. |
| title | Syncopated Bessel beams |
| topic | Optics |
| url | https://arxiv.org/abs/2604.23881 |