1981•Journal of the Optical Society of AmericaRequires access

Geometrical-optics solution for self-focusing in nonlinear optics

Mohamed N. Anwar, Robert D. Small

Abstract

Envelope equations are derived that describe two-dimensional electromagnetic waves in a nonlinear medium in geometrical-optics approximation. Paraxial approximation is specifically avoided. A simple solution with focusing rays is obtained by writing the equations in ray coordinates and separating the variables. Comparison is made with a paraxial solution developed by S. A. Akhmanov et al. [ Sov. Phys. JETP23, 1025– 1033 ( 1966)].

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Key concepts: Paraxial approximation, Geometrical optics, Physics, Physical optics, Optics, Gaussian optics, Envelope (radar), Nonlinear optics