Caustics, catastrophes, and symmetries in curved beams

Autores
Vaveliuk, Pablo; Lencina, Alberto; Rodrigo, José A.; Martínez Matos, Oscar
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, a meaningful classification of optical caustic beams in two dimensions is presented. It is demonstrated that the phase symmetry of the beam's angular spectrum governs the optical catastrophe, which describes the wave properties of ray singularities, for cusp (symmetric phase) and fold (antisymmetric phase) caustics. In contrast to the established idea, the caustic classification arises from the phase symmetry rather than from the phase power, thus breaking the commonly accepted concept that fold and cusp caustics are related to the Airy and Pearcey functions, respectively. Nevertheless, the role played by the spectral phase power is to control the degree of caustic curvature. These findings provide straightforward engineering of caustic beams by addressing the spectral phase into a spatial light modulator or glass plate.
Centro de Investigaciones Ópticas
Materia
Física
Optical caustic beams
Spectral phase
Phase symmetry
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/100999

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spelling Caustics, catastrophes, and symmetries in curved beamsVaveliuk, PabloLencina, AlbertoRodrigo, José A.Martínez Matos, OscarFísicaOptical caustic beamsSpectral phasePhase symmetryIn this paper, a meaningful classification of optical caustic beams in two dimensions is presented. It is demonstrated that the phase symmetry of the beam's angular spectrum governs the optical catastrophe, which describes the wave properties of ray singularities, for cusp (symmetric phase) and fold (antisymmetric phase) caustics. In contrast to the established idea, the caustic classification arises from the phase symmetry rather than from the phase power, thus breaking the commonly accepted concept that fold and cusp caustics are related to the Airy and Pearcey functions, respectively. Nevertheless, the role played by the spectral phase power is to control the degree of caustic curvature. These findings provide straightforward engineering of caustic beams by addressing the spectral phase into a spatial light modulator or glass plate.Centro de Investigaciones Ópticas2015-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1-6; 033850http://sedici.unlp.edu.ar/handle/10915/100999enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/21602info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.033850info:eu-repo/semantics/altIdentifier/issn/1050-2947info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.92.033850info:eu-repo/semantics/altIdentifier/hdl/11336/21602info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:19:56Zoai:sedici.unlp.edu.ar:10915/100999Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:19:57.008SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Caustics, catastrophes, and symmetries in curved beams
title Caustics, catastrophes, and symmetries in curved beams
spellingShingle Caustics, catastrophes, and symmetries in curved beams
Vaveliuk, Pablo
Física
Optical caustic beams
Spectral phase
Phase symmetry
title_short Caustics, catastrophes, and symmetries in curved beams
title_full Caustics, catastrophes, and symmetries in curved beams
title_fullStr Caustics, catastrophes, and symmetries in curved beams
title_full_unstemmed Caustics, catastrophes, and symmetries in curved beams
title_sort Caustics, catastrophes, and symmetries in curved beams
dc.creator.none.fl_str_mv Vaveliuk, Pablo
Lencina, Alberto
Rodrigo, José A.
Martínez Matos, Oscar
author Vaveliuk, Pablo
author_facet Vaveliuk, Pablo
Lencina, Alberto
Rodrigo, José A.
Martínez Matos, Oscar
author_role author
author2 Lencina, Alberto
Rodrigo, José A.
Martínez Matos, Oscar
author2_role author
author
author
dc.subject.none.fl_str_mv Física
Optical caustic beams
Spectral phase
Phase symmetry
topic Física
Optical caustic beams
Spectral phase
Phase symmetry
dc.description.none.fl_txt_mv In this paper, a meaningful classification of optical caustic beams in two dimensions is presented. It is demonstrated that the phase symmetry of the beam's angular spectrum governs the optical catastrophe, which describes the wave properties of ray singularities, for cusp (symmetric phase) and fold (antisymmetric phase) caustics. In contrast to the established idea, the caustic classification arises from the phase symmetry rather than from the phase power, thus breaking the commonly accepted concept that fold and cusp caustics are related to the Airy and Pearcey functions, respectively. Nevertheless, the role played by the spectral phase power is to control the degree of caustic curvature. These findings provide straightforward engineering of caustic beams by addressing the spectral phase into a spatial light modulator or glass plate.
Centro de Investigaciones Ópticas
description In this paper, a meaningful classification of optical caustic beams in two dimensions is presented. It is demonstrated that the phase symmetry of the beam's angular spectrum governs the optical catastrophe, which describes the wave properties of ray singularities, for cusp (symmetric phase) and fold (antisymmetric phase) caustics. In contrast to the established idea, the caustic classification arises from the phase symmetry rather than from the phase power, thus breaking the commonly accepted concept that fold and cusp caustics are related to the Airy and Pearcey functions, respectively. Nevertheless, the role played by the spectral phase power is to control the degree of caustic curvature. These findings provide straightforward engineering of caustic beams by addressing the spectral phase into a spatial light modulator or glass plate.
publishDate 2015
dc.date.none.fl_str_mv 2015-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/100999
url http://sedici.unlp.edu.ar/handle/10915/100999
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/21602
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.033850
info:eu-repo/semantics/altIdentifier/issn/1050-2947
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.92.033850
info:eu-repo/semantics/altIdentifier/hdl/11336/21602
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
1-6; 033850
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instname:Universidad Nacional de La Plata
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