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On the eigenvalues and eigenvectors of an inhomogeneously broadened single-mode laser stability problem

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Abstract

Most of works devoted to the stability of inhomogeneously broadened single-mode laser (see Ref.[1] and Refs. in it) concern only the "leading" eigenvalues of corresponding linearized equations which determine the stability of the system steady states. However, in some cases information about all eigenvalues is required, for example to examine the bifurcation of the steady state [2]. The aim of the present work is to find all eigenvalues of the inhomogeneously broadened running-wave single mode laser equations, linearized at the steady state points. Additionally we have considered laser equations in the representation of corresponding eigenvectors (normal form of laser equations [2]).

© 1992 Optical Society of America

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