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Quasi Vertical Hopf Bifurcation for the Multimode Class B Laser

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Abstract

Using the rotating wave approximation, Risken and Nummedal [1] have simplified the Maxwell-Bloch laser equations for homogeneously broadened two-level atoms and have analyzed the linear stability of the uniform steady states. They have determined bifurcation points to periodic traveling wave solutions. If I denotes the intensity of the non-zero steady state and a is the spatial wave number of the traveling wave, the first bifurcation occurs at or near (I,a) = (Im,am). See Figure 1. The nonlinear problem has been first investigated by Haken and Ohno [2].

© 1992 Optical Society of America

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