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Abstract

**Cosh-Gaussian Mode Laser Resonator Design for High Power Applications**

Since Kogelnik introduced ABCD beam matrices for analyzing Gaussian
beam propagation through systems of optical elements, several optical elements
have been added to the formalism. In addition, new solutions to the
Maxwell-Heaviside equations have been found, and these solutions have been
generalized to include the propagation of certain non-Gaussian beams through
ABCD optical systems. One solution of particular interest is the
cosh-Gaussian beam. Like he highly desirable Super-Gaussian beam,
the cosh-Gaussian beam is more effective than the conventional Gaussian
beam at extracting energy from a laser amplifier. Thus, cosh-Gaussian
beamsare of interest in the design of high power lasers. A simple
procedure is discussed that allows one to design sin-Gaussian mode resonators.
As an example,a sinh-Gaussian mode resonator is designed. However,
the procedure may also be straightforwardly applied to cosh-Gaussian beams.

*Date Modified January, 1998*

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