New mathematical model for Gaussian beams

Barbara Tehan Landesman

doi:10.1117/12.148397

7 August 1993 New mathematical model for Gaussian beams

Barbara Tehan Landesman

Proceedings Volume 1869, Intracavity and Extracavity Control of Laser Beam Properties; (1993) https://doi.org/10.1117/12.148397
Event: OE/LASE'93: Optics, Electro-Optics, and Laser Applications in Scienceand Engineering, 1993, Los Angeles, CA, United States

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.

Citation Download Citation

Barbara Tehan Landesman "New mathematical model for Gaussian beams", Proc. SPIE 1869, Intracavity and Extracavity Control of Laser Beam Properties, (7 August 1993); https://doi.org/10.1117/12.148397

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