Mathematical modeling of diffraction instability in optical bistable system

We investigate the space and time instability of a self-focusing light beam by means of mathematical modeling in the cavity-free optical bistability ( OB) system. The mathematical model of the considered process consists of th e nonlinear Schrodinger equation having the Laplace operator in polar coord inates and the nonlinear diffusion equation. A nonlinear conservative monot one difference scheme is constructed for this problem. To adapt the elabora ted numerical algorithm to multiprocessor computer systems we apply the Dom ain Decomposition Method (DDM). We study the development of the axial self- focusing beam instability due to the azimuth perturbation of the initial pr ofile of a beam (C) 2000 Elsevier Science B.V. Ail rights reserved.