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Proceedings Paper

Visualization of optical fields with ellipsoidal geometry
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Paper Abstract

The ellipsoidal coordinate system has the interesting property that every other orthogonal coordinate system in which the three-dimensional Helmholtz equation is separable, is a special case of it. In this work, we explore the solutions to the wave equation in ellipsoidal coordinates in order to visualize the behavior of optical fields with ellipsoidal geometry. We show several parity properties which allow us to create fundamental modes of vibration with different symmetries around the (x; y), (x; z) and (y; z) planes. We discuss the resonant modes of an ellipsoidal cavity and the traveling waves with ellipsoidal geometry. We propose a method to calculate the second linearly independent solution to the ellipsoidal wave equation

Paper Details

Date Published: 15 October 2012
PDF: 11 pages
Proc. SPIE 8490, Laser Beam Shaping XIII, 84900P (15 October 2012);
Show Author Affiliations
Antonio Ortiz-Ambriz, Tecnológico de Monterrey (Mexico)
Miguel A. Bandres, Instituto Nacional de Astrofísica, Óptica y Electrónica (Mexico)
Julio C. Gutiérrez-Vega, Tecnológico de Monterrey (Mexico)

Published in SPIE Proceedings Vol. 8490:
Laser Beam Shaping XIII
Andrew Forbes; Todd E. Lizotte, Editor(s)

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