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New Asymptotic Theory for the Periodically Forced Laser

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Abstract

Sustained relaxation oscillations and irregular spiking have been observed in many periodically modulated lasers [2]. These observations have been substantiated numerically by recent studies of the laser rate equations [3,4]. In this paper, we propose a new asymptotic analysis of the laser equations which assumes that the laser oscillations correspond to relaxation oscillations. We identify a large parameter and construct these periodic solutions using singular perturbation techniques. We obtain the equations for the Poincare map and determine the first period doubling bifurcation.

© 1991 Optical Society of America

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