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Proceedings Paper

Determining Lang and Kobayashi Hopf bifurcation points
Author(s): Thomas Erneux; Guido H.M. van Tartwijk; Daan Lenstra; Alfred M. Levine
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Paper Abstract

The Hopf bifurcation points for single mode solutions of the Lang and Kobayashi equations are determined using asymptotic methods. The approximation is based on a small parameter (epsilon) which is defined as the ratio of the photon and carrier lifetimes. The remaining parameters are scaled with respect to (epsilon) . The critical feedback rate for a Hopf bifurcation is studied in terms of the pump parameter and is either an 0((epsilon) ) or an 0((epsilon) 1/2) quantity. At a fixed value of the pump parameter, we obtain an expression of the Hopf bifurcation point in terms of the effective feedback strength and the feedback phase. In addition, we investigate the Hopf bifurcation point near and at the lasing threshold.

Paper Details

Date Published: 19 June 1995
PDF: 12 pages
Proc. SPIE 2399, Physics and Simulation of Optoelectronic Devices III, (19 June 1995); doi: 10.1117/12.212492
Show Author Affiliations
Thomas Erneux, Univ. Libre de Bruxelles (Belgium)
Guido H.M. van Tartwijk, Vrije Univ. Amsterdam (Netherlands)
Daan Lenstra, Vrije Univ. Amsterdam (Netherlands)
Alfred M. Levine, CUNY/College of Staten Island (United States)

Published in SPIE Proceedings Vol. 2399:
Physics and Simulation of Optoelectronic Devices III
Marek Osinski; Weng W. Chow, Editor(s)

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