Electromagnetic Wave Propagation in Radially and Axially Nonuniform Media: Geometrical-Optics Approximation

Abstract
This paper presents an investigation of the propagation of a cylindrically symmetrical beam in radially and axially nonuniform media, when the dielectric constant ε is given by ε=ε0-ε2(z)r2. A differential equation for the dimensionless beam-width parameter has been set up in the geometrical-optics approximation and solved for some specific dependences of ε2 on z. The relevance of this investigation to self-focusing fibers or rods is discussed.

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