Model of the nonlinear operation of a laser with a Gaussian mirror

Abstract

In this paper a semi-classical model of the nonlinear operation of a laser is extended to describe a laser with a Gaussian mirror. Modi®ed nonlinear self-consistent equations including transverse and longitudinal ®eld dependence, gain saturation, spatial hole burning and nonlinear dispersion e ects are derived. With the help of an energy theorem an approximate solution for steady-state single mode operation is presented, which relates the small signal gain to the output power and the laser system characteristic parameters. The laser output power characteristics are presented for various cavity con®gurations, especially, revealing an in¯uence of the Gaussian mirror parameter on the power e ciency of the laser.