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Optics Letters

Optics Letters


  • Vol. 28, Iss. 13 — Jul. 1, 2003
  • pp: 1084–1086

Hollow Gaussian beams and their propagation properties

Yangjian Cai, Xuanhui Lu, and Qiang Lin  »View Author Affiliations

Optics Letters, Vol. 28, Issue 13, pp. 1084-1086 (2003)

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A new mathematical model, described as hollow Gaussian beams (HGBs), is proposed to describe a dark hollow laser beam (DHB). The area of the dark region across the HGBs can easily be controlled by proper choice of the beam parameters. Based on the Collins integral, an analytical propagation formula for the HGBs through a paraxial optical system is derived. The HGBs also can be expressed as a superposition of a series of Lagurerre–Gaussian modes by use of a polynomial expansion. As a numerical example, the propagation properties of a DHB in free space are illustrated graphically. The HGBs provide a convenient and powerful way to describe and treat the propagation of DHBs and can be used conveniently to analyze atoms manipulated with a DHB.

© 2003 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

Yangjian Cai, Xuanhui Lu, and Qiang Lin, "Hollow Gaussian beams and their propagation properties," Opt. Lett. 28, 1084-1086 (2003)

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  1. T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
  2. Yu. B. Ovchinnikov, I. Manek, and R. Grimm, Phys. Rev. Lett. 79, 2225 (1997).
  3. Y. Song, D. Milam, and W. T. Hill, Opt. Lett. 24, 1805 (1999).
  4. J. Soding, R. Grimm, and Yu. B. Ovchinnikov, Opt. Commun. 119, 652 (1995).
  5. J. Yin, Y. Zhu, W. Jhe, and Y. Wang, Phys. Rev. A 58, 509 (1998).
  6. X. Xu, Y. Wang, and W. Jhe, J. Opt. Soc. Am. B 17, 1039 (2000).
  7. J. Yin, W. Gao, H. Wang, Q. Long, and Y. Wang, Chin. Phys. 11, 1157 (2002).
  8. X. Wang and M. G. Littman, Opt. Lett. 18, 767 (1993).
  9. R. M. Herman and T. A. Wiggins, J. Opt. Soc. Am. A 8, 932 (1991).
  10. H. S. Lee, B. W. Atewart, K. Choi, and H. Fenichel, Phys. Rev. A 49, 4922 (1994).
  11. C. Paterson and R. Smith, Opt. Commun. 124, 121 (1996).
  12. S. Marksteiner, C. M. Savage, and P. Zoller, S. Rolston, Phys. Rev. A 50, 2680 (1994).
  13. J. Arlt and K. Dholakia, Opt. Commun. 177, 297 (2000).
  14. V. I. Balykin V. S. Letokhov, Opt. Commun. 64, 151 (1987).
  15. A. Erdelyi, W. Magnus, and F. Oberhettinger, Tables of Integral Transforms (McGraw-Hill, New York, 1954).
  16. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953).
  17. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986).

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