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. JETP 23, 1025– 1033 (
1966)].
© 1981 Optical Society of America
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