Abstract
Gaussian beams of higher orders in a medium with a quadratic variation of gain and refractive index with distance from the optic axis are analytically obtained. Gaussian waveguide beams of higher orders are found that remain unchanged with propagation, and their additional losses (gain) are determined for a nonuniform medium. A propagation problem for an arbitrary beam in an active medium nonuniform in cross-section is solved due to the functional completeness of the obtained system of functions. The eigenfunctions and eigenfrequencies of a cavity with plane mirrors and parabolic inhomogeneity of the active medium are found.
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