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Proceedings Paper

New class of nondiffracting beams: Mathieu beams
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Paper Abstract

We present a new class of invariant optical fields that we named Mathieu beams because they are described by radial and angular Mathieu functions. The angular spectrum of these beams when mapped on the McCutchen sphere gives the clue to create them in the laboratory. The corresponding experimental setup is described and the results obtained corroborated our theoretical predictions. The experimental parameters can be easily adjusted to obtain a variety of transverse intensity patterns that range from cosine to Bessel. There are two main families of higher order Mathieu beams, one of them are confocal elliptically ringed and can present phase rotating characteristics that are interesting for creating elliptical rotating waves. The other family of these high order beams have bowtie shapes. Mathieu beams are a variant of superposition of uniform conical waves, i.e. Bessel beams, and for these reason they have also the capability of self-reconstruction after finite obstructions.

Paper Details

Date Published: 12 April 2001
PDF: 8 pages
Proc. SPIE 4271, Optical Pulse and Beam Propagation III, (12 April 2001); doi: 10.1117/12.424720
Show Author Affiliations
Julio Cesar Gutierrez-Vega, Instituto Nacional de Astrofisica Optica y Electronica (Mexico)
Ramon M. Rodriguez-Dagnino, Instituto Tecnologico y de Estudios Superiores de Monterrey (Mexico)
Marcelo David Iturbe Castillo, Instituto Nacional de Astrofisica Optica y Electronica (Mexico)
Sabino Chavez-Cerda, Instituto Nacional de Astrofisica Optica y Electronica (Mexico)

Published in SPIE Proceedings Vol. 4271:
Optical Pulse and Beam Propagation III
Yehuda B. Band, Editor(s)

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