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Published August 16, 2010 | Published
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Propagation characteristics of Cartesian Parabolic-Gaussian beams

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 M 2 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.

Additional Information

© (2010) SPIE The International Society for Optical Engineering. We acknowledge support from Consejo Nacional de Ciencia y Tecnología (grant 82407) and from the Tecnolόgico de Monterrey (grant CAT-141).

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