On optical Weber waves and Weber-Gauss beams

Details On optical Weber waves and Weber-Gauss beams On optical Weber waves and Weber-Gauss beams

2009-11-12

arxiv.org/abs/0911.2295v1

J. Opt. Soc. Am. A 27, 327-332 (2010)

Physics

Optics

12 pages, 3 figures

Scientific paper

10.1364/JOSAA.27.000327

The normalization of energy divergent Weber waves and finite energy Weber-Gauss beams is reported. The well-known Bessel and Mathieu waves are used to derive the integral relations between circular, elliptic, and parabolic waves and to present the Bessel and Mathieu wave decomposition of the Weber waves. The efficiency to approximate a Weber-Gauss beam as a finite superposition of Bessel-Gauss beams is also given.

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