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

Barbara Tehan Landesman

doi:10.1117/12.259893

20 November 1996 Comparison of paraxial and nonparaxial spheroidal-Gaussian modes with Hermite-Gaussian and Laguerre-Gaussian

Barbara Tehan Landesman

Author Affiliations +

Proceedings Volume 2870, Third International Workshop on Laser Beam and Optics Characterization; (1996) https://doi.org/10.1117/12.259893
Event: Third International Workshop on Laser Beam and Optics Characterization, 1996, Quebec City, Canada

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).

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Barbara Tehan Landesman "Comparison of paraxial and nonparaxial spheroidal-Gaussian modes with Hermite-Gaussian and Laguerre-Gaussian", Proc. SPIE 2870, Third International Workshop on Laser Beam and Optics Characterization, (20 November 1996); https://doi.org/10.1117/12.259893

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