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Published September 9, 2006 | Published
Book Section - Chapter Open

Propagation dynamics of vector Mathieu-Gauss beams

Abstract

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.

Additional Information

© 2006 Society of Photo-Optical Instrumentation Engineers (SPIE). This research was supported by Consejo Nacional de Ciencia y Tecnología (grant 42808) and by the Tecnológico de Monterrey (grant CAT-007).

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