Fast-time dynamics of a coupled laser system: the Ginzburg-Landau equation

Ziping Jiang; Martin W. McCall

doi:10.1117/12.179645

6 July 1994 Fast-time dynamics of a coupled laser system: the Ginzburg-Landau equation

Ziping Jiang, Martin W. McCall

Proceedings Volume 2099, Nonlinear Dynamics in Lasers and Optical Systems; (1994) https://doi.org/10.1117/12.179645
Event: Volga Laser Tour '93, 1993, Moscow, Russian Federation

Abstract

Under a continuum approximation we derive a complex Ginzburg-Landau equation describing either a set of weakly coupled class A lasers, or the fast-time dynamics of a set of weakly coupled class B lasers. We show that phase locked behavior is described by the so-called Stokes wave solution and by performing a linear stability analysis we confirm analytically some numerical observations--namely that the Stokes wave can often be made unstable for perturbations of sufficiently short wavelength and that the coupling phase plays at least as significant a role in determining the spatio-temporal behavior of the system as does the coupling strength. As with our previous work on the simulation of discrete systems a stable phase-locked solution is found to be particularly difficult to achieve as the relative coupling phase approaches (pi) /2. The continuum approach also highlights other scalings, not immediately apparent from the discrete model. The coupling strength, for example, is shown to set the scale of spatial fluctuations.

Citation Download Citation

Ziping Jiang and Martin W. McCall "Fast-time dynamics of a coupled laser system: the Ginzburg-Landau equation", Proc. SPIE 2099, Nonlinear Dynamics in Lasers and Optical Systems, (6 July 1994); https://doi.org/10.1117/12.179645

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