Gaussian modes of resonators containing saturable gain medium

Abstract

The modes of resonators, which consist of mirrors with Gaussian reflectivity profile and contain saturable gain medium, are analyzed by applying ray matrix techniques. A self-consistent equation is obtained which takes into account the mutual effect of the beam on the medium and that of the medium on the beam. The following approach also provides a first-order approximation to the calculation of beam parameters and diffraction losses for the more common lasers with finite (but large) end mirrors.