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Proceedings Paper

Propagation of Whittaker-Gaussian beams
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Paper Abstract

We study the propagating and shaping characteristics of the novel Whittaker-Gaussian beams (WGB). The transverse profile is described by the Whittaker functions. Their physical characteristics are studied in detail by finding the 2n-order intensity moments of the beam. Propagation through complex ABCD optical systems, normalization factor, beamwidth, the quality M2 factor and its kurtosis parameter are derived. We discuss its behavior for different beam parameters and the relation between them. The WGBs carry finite power and form a biorthogonal set of solutions of the paraxial wave equation (PWE) in circular cylindrical coordinates.

Paper Details

Date Published: 24 August 2009
PDF: 8 pages
Proc. SPIE 7430, Laser Beam Shaping X, 743013 (24 August 2009); doi: 10.1117/12.825282
Show Author Affiliations
Dorilian Lopez-Mago, Tecnológico de Monterrey (Mexico)
Miguel A. Bandres, California Institute of Technology (United States)
Julio C. Gutiérrez-Vega, Tecnológico de Monterrey (Mexico)


Published in SPIE Proceedings Vol. 7430:
Laser Beam Shaping X
Andrew Forbes; Todd E. Lizotte, Editor(s)

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