Coupled-mode theory for photonic band-gap inhibition of spatial instabilities

8 pages, 8 figures.-- PACS nrs.: 42.65.Sf, 89.75.Kd, 05.65.+b, 42.70.Qs.-- ArXiv pre-print available: http://arxiv.org/abs/nlin/0503065v1

Detalles Bibliográficos
Autores: Gomila, Damià, Oppo, Gian-Luca
Tipo de recurso: artículo
Fecha de publicación:2005
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:dnet:digitalcsic_::920e6c3f56f3146ddeb2e8182bce781c
Acceso en línea:http://hdl.handle.net/10261/7511
Access Level:acceso abierto
Palabra clave:Coupled mode analysis
Photonic crystals
Pattern formation
Optical parametric oscillators
Nonlinear optics
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spelling Coupled-mode theory for photonic band-gap inhibition of spatial instabilitiesGomila, DamiàOppo, Gian-LucaCoupled mode analysisPhotonic crystalsPattern formationOptical parametric oscillatorsNonlinear optics8 pages, 8 figures.-- PACS nrs.: 42.65.Sf, 89.75.Kd, 05.65.+b, 42.70.Qs.-- ArXiv pre-print available: http://arxiv.org/abs/nlin/0503065v1We study the inhibition of pattern formation in nonlinear optical systems using intracavity photonic crystals. We consider mean-field models for singly and doubly degenerate optical parametric oscillators. Analytical expressions for the new (higher) modulational thresholds and the size of the band gap as a function of the system and photonic crystal parameters are obtained via a coupled-mode theory. Then, by means of a nonlinear analysis, we derive amplitude equations for the unstable modes and find the stationary solutions above threshold. The form of the unstable mode is different in the lower and upper parts of the band gap. In each part there is bistability between two spatially shifted patterns. In large systems stable wall defects between the two solutions are formed and we provide analytical expressions for their shape. The analytical results are favorably compared with results obtained from the full system equations. Inhibition of pattern formation can be used to spatially control signal generation in the transverse plane.We acknowledge financial support from EPSRC (Grant Nos. GR S28600/1 and GR R04096/01), SGI, the Royal Society, Leverhulme Trust, and the European Commission (FunFACS).Peer reviewedAmerican Physical Society200820082005info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_65012373 bytes419568 bytestext/plainapplication/pdfhttp://hdl.handle.net/10261/7511reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttp://dx.doi.org/10.1103/PhysRevE.72.016614info:eu-repo/semantics/openAccessoai:dnet:digitalcsic_::920e6c3f56f3146ddeb2e8182bce781c2026-05-22T06:33:51Z
dc.title.none.fl_str_mv Coupled-mode theory for photonic band-gap inhibition of spatial instabilities
title Coupled-mode theory for photonic band-gap inhibition of spatial instabilities
spellingShingle Coupled-mode theory for photonic band-gap inhibition of spatial instabilities
Gomila, Damià
Coupled mode analysis
Photonic crystals
Pattern formation
Optical parametric oscillators
Nonlinear optics
title_short Coupled-mode theory for photonic band-gap inhibition of spatial instabilities
title_full Coupled-mode theory for photonic band-gap inhibition of spatial instabilities
title_fullStr Coupled-mode theory for photonic band-gap inhibition of spatial instabilities
title_full_unstemmed Coupled-mode theory for photonic band-gap inhibition of spatial instabilities
title_sort Coupled-mode theory for photonic band-gap inhibition of spatial instabilities
dc.creator.none.fl_str_mv Gomila, Damià
Oppo, Gian-Luca
author Gomila, Damià
author_facet Gomila, Damià
Oppo, Gian-Luca
author_role author
author2 Oppo, Gian-Luca
author2_role author
dc.subject.none.fl_str_mv Coupled mode analysis
Photonic crystals
Pattern formation
Optical parametric oscillators
Nonlinear optics
topic Coupled mode analysis
Photonic crystals
Pattern formation
Optical parametric oscillators
Nonlinear optics
description 8 pages, 8 figures.-- PACS nrs.: 42.65.Sf, 89.75.Kd, 05.65.+b, 42.70.Qs.-- ArXiv pre-print available: http://arxiv.org/abs/nlin/0503065v1
publishDate 2005
dc.date.none.fl_str_mv 2005
2008
2008
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dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/7511
url http://hdl.handle.net/10261/7511
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://dx.doi.org/10.1103/PhysRevE.72.016614
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
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