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Article: Periodic waves in fiber Bragg gratings

TitlePeriodic waves in fiber Bragg gratings
Authors
Issue Date2008
PublisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.org
Citation
Physical Review E - Statistical, Nonlinear, And Soft Matter Physics, 2008, v. 77 n. 2 How to Cite?
AbstractWe construct two families of exact periodic solutions to the standard model of fiber Bragg grating (FBG) with Kerr nonlinearity. The solutions are named "sn" and "cn" waves, according to the elliptic functions used in their analytical representation. The sn wave exists only inside the FBG's spectral bandgap, while waves of the cn type may only exist at negative frequencies (ω<0), both inside and outside the bandgap. In the long-wave limit, the sn and cn families recover, respectively, the ordinary gap solitons, and (unstable) antidark and dark solitons. Stability of the periodic solutions is checked by direct numerical simulations and, in the case of the sn family, also through the calculation of instability growth rates for small perturbations. Although, rigorously speaking, all periodic solutions are unstable, a subfamily of practically stable sn waves, with a sufficiently large spatial period and ω>0, is identified. However, the sn waves with ω<0, as well as all cn solutions, are strongly unstable. © 2008 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/75548
ISSN
2014 Impact Factor: 2.288
2015 SCImago Journal Rankings: 0.999
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChow, KWen_HK
dc.contributor.authorMerhasin, IMen_HK
dc.contributor.authorMalomed, BAen_HK
dc.contributor.authorNakkeeran, Ken_HK
dc.contributor.authorSenthilnathan, Ken_HK
dc.contributor.authorWai, PKAen_HK
dc.date.accessioned2010-09-06T07:12:15Z-
dc.date.available2010-09-06T07:12:15Z-
dc.date.issued2008en_HK
dc.identifier.citationPhysical Review E - Statistical, Nonlinear, And Soft Matter Physics, 2008, v. 77 n. 2en_HK
dc.identifier.issn1539-3755en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75548-
dc.description.abstractWe construct two families of exact periodic solutions to the standard model of fiber Bragg grating (FBG) with Kerr nonlinearity. The solutions are named "sn" and "cn" waves, according to the elliptic functions used in their analytical representation. The sn wave exists only inside the FBG's spectral bandgap, while waves of the cn type may only exist at negative frequencies (ω<0), both inside and outside the bandgap. In the long-wave limit, the sn and cn families recover, respectively, the ordinary gap solitons, and (unstable) antidark and dark solitons. Stability of the periodic solutions is checked by direct numerical simulations and, in the case of the sn family, also through the calculation of instability growth rates for small perturbations. Although, rigorously speaking, all periodic solutions are unstable, a subfamily of practically stable sn waves, with a sufficiently large spatial period and ω>0, is identified. However, the sn waves with ω<0, as well as all cn solutions, are strongly unstable. © 2008 The American Physical Society.en_HK
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.orgen_HK
dc.relation.ispartofPhysical Review E - Statistical, Nonlinear, and Soft Matter Physicsen_HK
dc.rightsPhysical Review E (Statistical, Nonlinear, and Soft Matter Physics). Copyright © American Physical Society.en_HK
dc.titlePeriodic waves in fiber Bragg gratingsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1539-3755&volume=77&spage=026602 (8 pages)&epage=&date=2008&atitle=Periodic+waves+in+fiber+Bragg+gratingsen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1103/PhysRevE.77.026602en_HK
dc.identifier.scopuseid_2-s2.0-38949174013en_HK
dc.identifier.hkuros143426en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-38949174013&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume77en_HK
dc.identifier.issue2en_HK
dc.identifier.eissn1550-2376-
dc.identifier.isiWOS:000253763800060-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK
dc.identifier.scopusauthoridMerhasin, IM=6602589502en_HK
dc.identifier.scopusauthoridMalomed, BA=35555126200en_HK
dc.identifier.scopusauthoridNakkeeran, K=7004188157en_HK
dc.identifier.scopusauthoridSenthilnathan, K=6603370481en_HK
dc.identifier.scopusauthoridWai, PKA=7005475453en_HK

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