Beam propagation in a linear or nonlinear lens-like medium usingABCD ray matrices: the method of moments
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- Paré, C. & Bélanger, P.A. Opt Quant Electron (1992) 24: S1051. doi:10.1007/BF01588605
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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.