9 September 2006 Propagation dynamics of vector Mathieu-Gauss beams
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The vector Mathieu-Gauss beams of integer order are examined as the solutions of the vector paraxial wave equation in elliptical coordinates. The propagation of the vector components and the three-dimensional intensity distribution of focused vector Mathieu-Gauss beams are analyzed for a variety of polarizations. Conditions in which the linearly polarized Mathieu-Gauss beams can be approximated by the scalar solutions of the paraxial wave equation are also discussed.
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Raúl I. Hernández-Aranda, Miguel A. Bandres, Julio C. Gutiérrez Vega, "Propagation dynamics of vector Mathieu-Gauss beams", Proc. SPIE 6290, Laser Beam Shaping VII, 629011 (9 September 2006); doi: 10.1117/12.679737; https://doi.org/10.1117/12.679737

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