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.
Author: | Jan Sieber, Mindaugas Radziunas, Klaus Schneider |
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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 |