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Proceedings Paper

Propagation characteristics of Cartesian Parabolic-Gaussian beams
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Paper Abstract

We study the propagating and shaping characteristics of the novel one-dimensional Cartesian Parabolic-Gaussian beams. The transverse profile is described by the parabolic cylinder functions and are apodized by a Gaussian envelope. Their physical properties are studied in detail by finding the 2n-order intensity moments of the beam. Propagation through complex ABCD optical systems, normalization factor, beam width, the quality M2 factor and its kurtosis parameter are derived. We discuss its behavior for different beam parameters and the relation between them. The Cartesian Parabolic-Gaussian beams carry finite power and form a biorthogonal set of solutions of the paraxial wave equation in Cartesian coordinates.

Paper Details

Date Published: 16 August 2010
PDF: 9 pages
Proc. SPIE 7789, Laser Beam Shaping XI, 77890Q (16 August 2010); doi: 10.1117/12.859283
Show Author Affiliations
D. Lopez-Mago, Instituto Tecnológico y de Estudios Superiores de Monterrey (Mexico)
M. A. Bandres, California Institute of Technology (United States)
J. C. Gutiérrez-Vega, Instituto Tecnológico y de Estudios Superiores de Monterrey (Mexico)

Published in SPIE Proceedings Vol. 7789:
Laser Beam Shaping XI
Andrew Forbes; Todd E. Lizotte, Editor(s)

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