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Gaussian Laser Beams via Oblate Spheroidal Waves

Kirk T. McDonald
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Abstract

We deduce a set of circularly polarized Gaussian laser beam modes via a separation-of-variables solution to the Helmholtz wave equation in oblate spheriodal coordinates. On transforming to cylindrical coordinates these become the well-known Gaussian-Laguerre modes.

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Kirk T. McDonald. 2003-12-03. Gaussian Laser Beams via Oblate Spheroidal Waves. https://arxiv.org/abs/physics/0312024

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