Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions

dc.contributor.authorCentini, M.
dc.contributor.authorSibilia, C.
dc.contributor.authorScalora, M.
dc.contributor.authorD’Aguanno, G.
dc.contributor.authorBertolotti, M.
dc.contributor.authorBloemer, M. J.
dc.contributor.authorBowden, C. M.
dc.contributor.authorNefedov, I.
dc.date.accessioned2020-05-22T13:57:50Z
dc.date.available2020-05-22T13:57:50Z
dc.date.issued1999-10-01
dc.description.abstractWe discuss the linear dispersive properties of finite one-dimensional photonic band-gap structures. We introduce the concept of a complex effective index for structures of finite length, derived from a generalized dispersion equation that identically satisfies the Kramers-Kronig relations. We then address the conditions necessary for optimal, phase-matched, resonant second harmonic generation. The combination of enhanced density of modes, field localization, and exact phase matching near the band edge conspire to yield conversion efficiencies orders of magnitude higher than quasi-phase-matched structures of similar lengths. We also discuss an unusual and interesting effect: counterpropagating waves can simultaneously travel with different phase velocities, pointing to the existence of two dispersion relations for structures of finite length.en_US
dc.description.urihttps://journals.aps.org/pre/abstract/10.1103/PhysRevE.60.4891en_US
dc.format.extent8 pagesen_US
dc.genrejournal articlesen_US
dc.identifierdoi:10.13016/m2yfyk-frbt
dc.identifier.citationCentini, M.; et al.; Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions; Physical Review E 60, 4891 (1999); https://journals.aps.org/pre/abstract/10.1103/PhysRevE.60.4891en_US
dc.identifier.urihttp://hdl.handle.net/11603/18714
dc.language.isoen_USen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Computer Science and Electrical Engineering Department Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
dc.rightsPublic Domain Mark 1.0*
dc.rights.urihttp://creativecommons.org/publicdomain/mark/1.0/*
dc.titleDispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactionsen_US
dc.typeTexten_US

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