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Article: Solitons pinned to hot spots
Title | Solitons pinned to hot spots | ||||
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Authors | |||||
Issue Date | 2010 | ||||
Publisher | Springer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/10053/ | ||||
Citation | European Physical Journal D, 2010, v. 59 n. 1, p. 81-89 How to Cite? | ||||
Abstract | We generalize a recently proposed model based on the cubic complex Ginzburg-Landau (CGL) equation, which gives rise to stable dissipative solitons supported by localized gain applied at a "hot spot" (HS), in the presence of the linear loss in the bulk. We introduce a model with the Kerr nonlinearity concentrated at the HS, together with the local gain and, possibly, with the local nonlinear loss. The model, which may be implemented in laser cavities based on planar waveguides, gives rise to exact solutions for pinned dissipative solitons. In the case when the HS does not include the localized nonlinear loss, numerical tests demonstrate that these solitons are stable/unstable if the localized nonlinearity is selfdefocusing/ focusing. Another new setting considered in this work is a pair of two symmetric HSs. We find exact asymmetric solutions for it, although they are unstable. Numerical simulations demonstrate that stable modes supported by the HS pair tend to be symmetric. An unexpected conclusion is that the interaction between breathers pinned to two broad HSs, which are the only stable modes in isolation in that case, transforms them into a static symmetric mode. © EDP Sciences, Societá Italiana di Fisica, Springer-Verlag 2010. | ||||
Persistent Identifier | http://hdl.handle.net/10722/145806 | ||||
ISSN | 2023 Impact Factor: 1.5 2023 SCImago Journal Rankings: 0.384 | ||||
ISI Accession Number ID |
Funding Information: 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. B. A. M. appreciates hospitality of the Faculty of Engineering at the University of Hong Kong. | ||||
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Tsang, CH | en_HK |
dc.contributor.author | Malomed, BA | en_HK |
dc.contributor.author | Lam, CK | en_HK |
dc.contributor.author | Chow, KW | en_HK |
dc.date.accessioned | 2012-03-22T08:24:29Z | - |
dc.date.available | 2012-03-22T08:24:29Z | - |
dc.date.issued | 2010 | en_HK |
dc.identifier.citation | European Physical Journal D, 2010, v. 59 n. 1, p. 81-89 | en_HK |
dc.identifier.issn | 1434-6060 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/145806 | - |
dc.description.abstract | We generalize a recently proposed model based on the cubic complex Ginzburg-Landau (CGL) equation, which gives rise to stable dissipative solitons supported by localized gain applied at a "hot spot" (HS), in the presence of the linear loss in the bulk. We introduce a model with the Kerr nonlinearity concentrated at the HS, together with the local gain and, possibly, with the local nonlinear loss. The model, which may be implemented in laser cavities based on planar waveguides, gives rise to exact solutions for pinned dissipative solitons. In the case when the HS does not include the localized nonlinear loss, numerical tests demonstrate that these solitons are stable/unstable if the localized nonlinearity is selfdefocusing/ focusing. Another new setting considered in this work is a pair of two symmetric HSs. We find exact asymmetric solutions for it, although they are unstable. Numerical simulations demonstrate that stable modes supported by the HS pair tend to be symmetric. An unexpected conclusion is that the interaction between breathers pinned to two broad HSs, which are the only stable modes in isolation in that case, transforms them into a static symmetric mode. © EDP Sciences, Societá Italiana di Fisica, Springer-Verlag 2010. | en_HK |
dc.language | eng | - |
dc.publisher | Springer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/10053/ | en_HK |
dc.relation.ispartof | European Physical Journal D | en_HK |
dc.rights | The original publication is available at www.springerlink.com | - |
dc.title | Solitons pinned to hot spots | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Chow, KW:kwchow@hku.hk | en_HK |
dc.identifier.authority | Chow, KW=rp00112 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1140/epjd/e2010-00073-0 | en_HK |
dc.identifier.scopus | eid_2-s2.0-77954955580 | en_HK |
dc.identifier.hkuros | 185510 | - |
dc.identifier.hkuros | 170645 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-77954955580&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 59 | en_HK |
dc.identifier.issue | 1 | en_HK |
dc.identifier.spage | 81 | en_HK |
dc.identifier.epage | 89 | en_HK |
dc.identifier.eissn | 1434-6079 | - |
dc.identifier.isi | WOS:000279690700011 | - |
dc.publisher.place | Germany | en_HK |
dc.identifier.scopusauthorid | Tsang, CH=36187480500 | en_HK |
dc.identifier.scopusauthorid | Malomed, BA=35555126200 | en_HK |
dc.identifier.scopusauthorid | Lam, CK=7402990801 | en_HK |
dc.identifier.scopusauthorid | Chow, KW=13605209900 | en_HK |
dc.identifier.citeulike | 6975667 | - |
dc.identifier.issnl | 1434-6060 | - |