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Lang and Kobayashi phase equation and its validity for low pump

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dc.contributor.author Erneux, Thomas en_US
dc.contributor.author Alsing, Paul en_US
dc.contributor.author Kovanis, Vassilios en_US
dc.contributor.author Gavrielides, Athanasios en_US
dc.date.accessioned 2007-09-13T02:02:20Z en_US
dc.date.available 2007-09-13T02:02:20Z en_US
dc.date.issued 1996-05 en_US
dc.identifier.citation Physics and Simulation of Optoelectronic Devices IV 2693 (1996) 701-709 en_US
dc.identifier.isbn 0-8194-2067-0 en_US
dc.identifier.uri http://hdl.handle.net/1850/4697 en_US
dc.description RIT community members may access full-text via RIT Libraries licensed databases: http://library.rit.edu/databases/
dc.description.abstract An asymptotic theory of Lang and Kobayashi (LK) equations describing a semiconductor laser subject to optical feedback is investigated in detail. We obtain a simple third order, nonlinear, delay-differential equation for the phase of the laser field which admits multiple branches of time-periodic intensity solutions. The theory is based on typical values of LK dimensionless parameters and assumes that the pump parameter is not too small. In this paper, we examine the validity of this assumption by considering the small pump limit. We find the same phase equation as the leading problem of our asymptotic analysis but now with a stronger damping coefficient. This phase equation fails as a correct asymptotic approximation only for very low pump, close to the lasing threshold. The approximation for this case is more complicated and reveals a stronger influence of the laser intensity. en_US
dc.description.sponsorship This research was supported by the US Air Force Office of Scientific Research grant AFOSR-93-1-0084, the National Science Foundation grant DMS-9308009, the Fonds National de la Recherche Scientifique (Belgium) and the InterUniversity Attraction Pole of the Belgian government. en_US
dc.language.iso en_US en_US
dc.publisher The International Society for Optical Engineering (SPIE) en_US
dc.relation.ispartofseries vol. 2693 en_US
dc.subject Hopf bifurcation en_US
dc.subject Lang and Kobayashi en_US
dc.subject Optical feedback en_US
dc.subject Semiconductor laser en_US
dc.title Lang and Kobayashi phase equation and its validity for low pump en_US
dc.type Article en_US
dc.identifier.url http://dx.doi.org/10.1117/12.239005

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