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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: Stephen A. Burns
  • Vol. 23, Iss. 6 — Jun. 1, 2006
  • pp: 1410–1418

Propagation of hollow Gaussian beams through apertured paraxial optical systems

Yangjian Cai and Sailing He  »View Author Affiliations


JOSA A, Vol. 23, Issue 6, pp. 1410-1418 (2006)
http://dx.doi.org/10.1364/JOSAA.23.001410


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Abstract

On the basis of the generalized Collins formula and the expansion of the hard-aperture function into a finite sum of complex Gaussian functions, an approximate analytical formula for a hollow Gaussian beam propagating through an apertured paraxial stigmatic (ST) A B C D optical system is derived. Some numerical examples are given. Furthermore, by using a tensor method, we derive approximate analytical formulas for a hollow elliptical Gaussian beam propagating through an apertured paraxial general astigmatic A B C D optical system and an apertured paraxial misaligned ST A B C D optical system. Our results provide a convenient way for studying the propagation and transformation of a hollow Gaussian beam and a hollow elliptical Gaussian beam through an apertured general optical system.

© 2006 Optical Society of America

OCIS Codes
(140.3300) Lasers and laser optics : Laser beam shaping
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: August 26, 2005
Revised Manuscript: November 29, 2005
Manuscript Accepted: November 29, 2005

Citation
Yangjian Cai and Sailing He, "Propagation of hollow Gaussian beams through apertured paraxial optical systems," J. Opt. Soc. Am. A 23, 1410-1418 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-6-1410

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