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Proceedings Paper

Lang and Kobayashi phase equation and its validity for low pump
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Paper 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.

Paper Details

Date Published: 1 May 1996
PDF: 9 pages
Proc. SPIE 2693, Physics and Simulation of Optoelectronic Devices IV, (1 May 1996); doi: 10.1117/12.239005
Show Author Affiliations
Thomas Erneux, Univ. Libre de Bruxelles (Belgium)
Paul M. Alsing, Air Force Phillips Lab. (United States)
Vassilios Kovanis, Air Force Phillips Lab. (United States)
Athanasios Gavrielides, Air Force Phillips Lab. (United States)

Published in SPIE Proceedings Vol. 2693:
Physics and Simulation of Optoelectronic Devices IV
Weng W. Chow; Marek Osinski, Editor(s)

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