Propagation characteristics of Cartesian Parabolic-Gaussian beams

D. Lopez-Mago; M. A. Bandres; J. C. Gutiérrez-Vega

doi:10.1117/12.859283

16 August 2010 Propagation characteristics of Cartesian Parabolic-Gaussian beams

D. Lopez-Mago, M. A. Bandres, J. C. Gutiérrez-Vega

Author Affiliations +

Proceedings Volume 7789, Laser Beam Shaping XI; 77890Q (2010) https://doi.org/10.1117/12.859283
Event: SPIE Optical Engineering + Applications, 2010, San Diego, California, United States

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.

Citation Download Citation

D. Lopez-Mago, M. A. Bandres, and J. C. Gutiérrez-Vega "Propagation characteristics of Cartesian Parabolic-Gaussian beams", Proc. SPIE 7789, Laser Beam Shaping XI, 77890Q (16 August 2010); https://doi.org/10.1117/12.859283

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