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24 August 2009 Propagation of Whittaker-Gaussian beams
Dorilian Lopez-Mago, Miguel A. Bandres, Julio C. Gutiérrez-Vega
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Proceedings Volume 7430, Laser Beam Shaping X; 743013 (2009) https://doi.org/10.1117/12.825282
Event: SPIE Optical Engineering + Applications, 2009, San Diego, California, United States
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.
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Dorilian Lopez-Mago, Miguel A. Bandres, and Julio C. Gutiérrez-Vega "Propagation of Whittaker-Gaussian beams", Proc. SPIE 7430, Laser Beam Shaping X, 743013 (24 August 2009); https://doi.org/10.1117/12.825282
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Wave propagation
Current controlled current source
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