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Published August 24, 2009 | Published
Book Section - Chapter Open

Propagation of Whittaker-Gaussian beams

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 M^2 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.

Additional Information

© 2009 Society of Photo-Optical Instrumentation Engineers (SPIE). We acknowledge support from Consejo Nacional de Ciencia y Tecnología (CONACYT) (grant 82407) and from the Tecnológico de Monterrey (grant CAT-141).

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