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Dynamics of multisection semiconductor lasers

Please always quote using this URN:urn:nbn:de:0296-matheon-1855
  • Abstract. We consider a mathematical model (the so-called traveling-wave system) which describes longitudinal dynamical effects in semiconductor lasers. This model consists of a linear hyperbolic system of PDEs, which is nonlinearly coupled with a slow subsystem of ODEs. We prove that a corresponding initial-boundary value problem is well posed and that it generates a smooth infinite-dimensional dynamical system. Exploiting the particular slow–fast structure, we derive conditions under which there exists a lowdimensional attracting invariant manifold. The flow on this invariant manifold is described by a system of ODEs. Mode approximations of that system are studied by means of bifurcation theory and numerical tools.

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Metadaten
Author:Jan Sieber, Mindaugas Radziunas, Klaus Schneider
URN:urn:nbn:de:0296-matheon-1855
Referee:Caren Tischendorf
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2004/11/29
Release Date:2004/11/19
Institute:Humboldt-Universität zu Berlin
Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
Preprint Number:180
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