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Beam propagation in a linear or nonlinear lens-like medium usingABCD ray matrices: the method of moments
Authors:C Paré  P -A Bélanger
Institution:(1) Equipe Laser et Optique Guidée, (COPL) Département de Physique, Université Laval, G1K 7P4 Sainte-Foy, Québec, Canada
Abstract:We derive exact expressions for the evolution of the second order moment of the intensity distribution of an arbitrary beam propagating in a nonlinear Kerr medium with a quadratic index profile. The results can be recast in terms of theABCD matrix formalism after introducing a generalized complex radius of curvature,Q(z). Various definitions of the beam quality factor are introduced. Numerical simulations reveal the interest of this approach.An Invited Paper
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