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Article: Spatial solitons supported by localized gain in nonlinear optical waveguides

TitleSpatial solitons supported by localized gain in nonlinear optical waveguides
Authors
Issue Date2009
PublisherSpringer. The Journal's web site is located at http://www.springer.com/materials/journal/11734
Citation
European Physical Journal: Special Topics, 2009, v. 173 n. 1, p. 233-243 How to Cite?
AbstractWe introduce a modification of the complex Ginzburg-Landau (CGL) equation with background linear loss and locally applied gain. The equation appertains to laser cavities based on planar waveguides, and also to the description of thermal convection in binary fluids. With the gain localization accounted for by the delta-function, a solution for pinned solitons is found in an analytical form, with one relation imposed on parameters of the model. The exponentially localized solution becomes weakly localized in the limit case of vanishing background loss. Numerical solutions, with the delta-function replaced by a finite-width approximation, demonstrate stability of the pinned solitons and their existence in the general case, when the analytical solution is not available. If the gain-localization region and the size of the soliton are comparable, the static soliton is replaced by a stable breather. © EDP Sciences and Springer 2009.
Persistent Identifierhttp://hdl.handle.net/10722/58990
ISSN
2015 Impact Factor: 1.417
2015 SCImago Journal Rankings: 0.647
ISI Accession Number ID
Funding AgencyGrant Number
Council of Hong KongHKU 7118/07E
HKU 7120/08E
Funding Information:

B. A. M. appreciates hospitality of the Faculty of Engineering at the University of Hong Kong, and of the Department of Electronic and Information Engineering at the Hong Kong Polytechnic University. Partial financial support for this work has been provided by the Research Grants Council of Hong Kong through contracts HKU 7118/07E and HKU 7120/08E.

References

 

DC FieldValueLanguage
dc.contributor.authorLam, CKen_HK
dc.contributor.authorMalomed, BAen_HK
dc.contributor.authorChow, KWen_HK
dc.contributor.authorWai, PKAen_HK
dc.date.accessioned2010-05-31T03:41:00Z-
dc.date.available2010-05-31T03:41:00Z-
dc.date.issued2009en_HK
dc.identifier.citationEuropean Physical Journal: Special Topics, 2009, v. 173 n. 1, p. 233-243en_HK
dc.identifier.issn1951-6355en_HK
dc.identifier.urihttp://hdl.handle.net/10722/58990-
dc.description.abstractWe introduce a modification of the complex Ginzburg-Landau (CGL) equation with background linear loss and locally applied gain. The equation appertains to laser cavities based on planar waveguides, and also to the description of thermal convection in binary fluids. With the gain localization accounted for by the delta-function, a solution for pinned solitons is found in an analytical form, with one relation imposed on parameters of the model. The exponentially localized solution becomes weakly localized in the limit case of vanishing background loss. Numerical solutions, with the delta-function replaced by a finite-width approximation, demonstrate stability of the pinned solitons and their existence in the general case, when the analytical solution is not available. If the gain-localization region and the size of the soliton are comparable, the static soliton is replaced by a stable breather. © EDP Sciences and Springer 2009.en_HK
dc.languageengen_HK
dc.publisherSpringer. The Journal's web site is located at http://www.springer.com/materials/journal/11734en_HK
dc.relation.ispartofEuropean Physical Journal: Special Topicsen_HK
dc.titleSpatial solitons supported by localized gain in nonlinear optical waveguidesen_HK
dc.typeArticleen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1140/epjst/e2009-01076-8en_HK
dc.identifier.scopuseid_2-s2.0-67651062129en_HK
dc.identifier.hkuros156670en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-67651062129&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume173en_HK
dc.identifier.issue1en_HK
dc.identifier.spage233en_HK
dc.identifier.epage243en_HK
dc.identifier.isiWOS:000267687800013-
dc.publisher.placeGermanyen_HK
dc.identifier.scopusauthoridLam, CK=7402990801en_HK
dc.identifier.scopusauthoridMalomed, BA=35555126200en_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK
dc.identifier.scopusauthoridWai, PKA=7005475453en_HK
dc.identifier.citeulike5113471-

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