Coupled lasers asymptotics

Thomas Erneux; Thomas W. Carr; RuoDing Li

doi:10.1117/12.164755

1 December 1993 Coupled lasers asymptotics

Thomas Erneux, Thomas W. Carr, RuoDing Li

Author Affiliations +

Proceedings Volume 2039, Chaos in Optics; (1993) https://doi.org/10.1117/12.164755
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

Models of coupled lasers are investigated by exploring new asymptotic limits. The class B limit is based on the fact that the decay rate of the cavity is much larger than that of the inversion. By reformulating the laser equations as a weakly perturbed conservative system of equations, we may apply perturbation techniques appropriate for nonlinear oscillators. We illustrate the method by studying the bifurcation diagram of two coupled solid state lasers and determine conditions for a period doubling bifurcation. Semiconductor lasers are also class B lasers but, in addition, the normalized excess pump current is a small parameter. By taking this feature into account, we propose a new asymptotic analysis of the equations for an arbitrary number of coupled lasers. The leading order solution is then a linear combination of supermodes solutions.

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Thomas Erneux, Thomas W. Carr, and RuoDing Li "Coupled lasers asymptotics", Proc. SPIE 2039, Chaos in Optics, (1 December 1993); https://doi.org/10.1117/12.164755

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