Modeling of 2-D microcavity lasers with arbitrarily shaped active regions

We consider the mathematical model for the accurate and economic numerical study of an arbitrary-shape two-dimensional (2-D) microcavity laser with an active region of arbitrary shape. The model is based on the coupled Muller integral equations (IE) on the boundaries of passive and active parts of the cavity. The algorithm of their discretization can be based on the Nystrom interpolation of the unknown functions corresponding to the boundary electric and magnetic currents. The model enables one to extract the lasing-mode frequencies and thresholds and to use the geometry of the active region as a tool of manipulation of the lasing threshold.