Spatial output field for arbitrary input light field in a thermally self-induced inhomogeneous medium

Light propagation in a thermally self-induced inhomogeneous medium is inves tigated to find the transient spatial output field for an arbitrary inciden t field. The paraxial wave equation is coupled with the thermal diffusion e quation to predict the output field as the index of refraction transiently changes due to absorption of light by the medium. The coupled equations are non-dimensionalized and are explicitly expressed in full non-linear form. A coupling parameter is derived to scale the degree of non-linearity. Limit s for the validity of using the coupled wave-diffusion approach are given, with respect to bulk fluid motion and the transverse wave assumption. An ad ditional constraint is given on the paraxial wave equation that arises due to the coupling with the diffusion equation. Numerical results are compared to exact solutions and experiments for Gaussian and multi-mode laser beams , which verify that this approach is accurate in the range of validity, and describes local, transient self-focusing in multi-mode beams. (C) 2001 Els evier Science B.V. All rights reserved.