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Proceedings Paper

New mathematical model for Gaussian beams
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Paper Abstract

A new mathematical model for the fundamental mode of a Gaussian beam is presented. Unlike the Kogelnik and Li model, this new model is an exact, closed-form solution of the scalar Helmholtz equation for beams with a Gaussian amplitude distribution. The model is the 0,0 order of a family of solutions to the wave equation in the oblate spheroidal coordinate system. A geometrical interpretation of the model, based on the concept of a skew line, is also presented that allows simple, straight-line modeling of intracavity and extracavity beam propagation.

Paper Details

Date Published: 7 August 1993
PDF: 15 pages
Proc. SPIE 1869, Intracavity and Extracavity Control of Laser Beam Properties, (7 August 1993); doi: 10.1117/12.148397
Show Author Affiliations
Barbara Tehan Landesman, Lockheed Missiles & Space Co., Inc. (United States)

Published in SPIE Proceedings Vol. 1869:
Intracavity and Extracavity Control of Laser Beam Properties
Roger Lee Facklam; Karl H. Guenther; Stephan P. Velsko, Editor(s)

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