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Proceedings Paper

Comparison of paraxial and nonparaxial spheroidal-Gaussian modes with Hermite-Gaussian and Laguerre-Gaussian
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Paper Abstract

In previous work, a new family of exact, closed-form, analytic solutions to the scalar Helmholtz equation was derived in the oblate-spheroidal coordinate system. The 0,0 order of this family represents a new mathematical model for the fundamental mode of a propagating Gaussian beam which is not limited to the paraxial region, but reduces to the traditional Kogelnik and Li model in the paraxial limit. This present work compares the higher-order terms of the spheroidal-Gaussian modes with both the Hermite-Gaussian and Laguerre-Gaussian modes. Distinction is made between magnitude and phase results for paraxial modes (Hermite, Laguerre, and spheroidal) and nonparaxial ones (spheroidal only).

Paper Details

Date Published: 20 November 1996
PDF: 10 pages
Proc. SPIE 2870, Third International Workshop on Laser Beam and Optics Characterization, (20 November 1996); doi: 10.1117/12.259893
Show Author Affiliations
Barbara Tehan Landesman, Applied Technology Associates (United States)


Published in SPIE Proceedings Vol. 2870:
Third International Workshop on Laser Beam and Optics Characterization
Michel Morin; Adolf Giesen, Editor(s)

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