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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 27, Iss. 2 — Feb. 1, 2010
  • pp: 327–332

Normalization of optical Weber waves and Weber–Gauss beams

B. M. Rodríguez-Lara  »View Author Affiliations


JOSA A, Vol. 27, Issue 2, pp. 327-332 (2010)
http://dx.doi.org/10.1364/JOSAA.27.000327


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Abstract

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.

© 2010 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(140.3300) Lasers and laser optics : Laser beam shaping
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Physical Optics

History
Original Manuscript: November 12, 2009
Revised Manuscript: December 11, 2009
Manuscript Accepted: December 13, 2009
Published: January 29, 2010

Citation
B. M. Rodríguez-Lara, "Normalization of optical Weber waves and Weber-Gauss beams," J. Opt. Soc. Am. A 27, 327-332 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-2-327

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