Exact Solution of the Scalar Wave Equation with Focused Gaussian Gain
- 27 December 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 49 (26), 1921-1924
- https://doi.org/10.1103/physrevlett.49.1921
Abstract
An exact analytic solution of the scalar wave equation in a rotationally symmetric focused-Gaussian-amplifying medium is constructed from coupled Gaussian-Laguerre solutions of the free-space wave equation. The solution allows for the analytic construction of the characteristic eigenmodes of the system and has direct application to Raman, dye, and free-electron lasers.Keywords
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