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. JETP 23,1025-1033 (1966)].
© 1981 Optical Society of America
Mohamed N. Y. Anwar and Robert D. Small, "Geometrical-optics solution for self-focusing in nonlinear optics," J. Opt. Soc. Am. 71, 124-126 (1981)