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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 19 — Sep. 15, 2008
  • pp: 15254–15267

An alternative theoretical model for an anomalous hollow beam

Yangjian Cai, Zhaoying Wang, and Qiang Lin  »View Author Affiliations


Optics Express, Vol. 16, Issue 19, pp. 15254-15267 (2008)
http://dx.doi.org/10.1364/OE.16.015254


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Abstract

An alternative and convenient theoretical model is proposed to describe a flexible anomalous hollow beam of elliptical symmetry with an elliptical solid core, which was observed in experiment recently (Phys. Rev. Lett, 94 (2005) 134802). In this model, the electric field of anomalous hollow beam is expressed as a finite sum of elliptical Gaussian modes. Flat-topped beams, dark hollow beams and Gaussian beams are special cases of our model. Analytical propagation formulae for coherent and partially coherent anomalous hollow beams passing through astigmatic ABCD optical systems are derived. Some numerical examples are calculated to show the propagation and focusing properties of coherent and partially coherent anomalous hollow beams.

© 2008 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(140.3430) Lasers and laser optics : Laser theory
(350.5500) Other areas of optics : Propagation

ToC Category:
Physical Optics

History
Original Manuscript: June 17, 2008
Revised Manuscript: September 2, 2008
Manuscript Accepted: September 7, 2008
Published: September 12, 2008

Citation
Yangjian Cai, Zhaoying Wang, and Qiang Lin, "An alternative theoretical model for an anomalous hollow beam," Opt. Express 16, 15254-15267 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-19-15254


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