Optical and Quantum Electronics

, Volume 24, Issue 9, pp S1051–S1070

Beam propagation in a linear or nonlinear lens-like medium usingABCD ray matrices: the method of moments

  • C. Paré
  • P. -A. Bélanger
ABCD Law, Propagation and Higher Order Moments

DOI: 10.1007/BF01588605

Cite this article as:
Paré, C. & Bélanger, P.A. Opt Quant Electron (1992) 24: S1051. doi:10.1007/BF01588605


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.

Copyright information

© Chapman & Hall 1992

Authors and Affiliations

  • C. Paré
    • 1
  • P. -A. Bélanger
    • 1
  1. 1.Equipe Laser et Optique Guidée, (COPL) Département de PhysiqueUniversité LavalSainte-FoyCanada

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