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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 19 — Sep. 17, 2007
  • pp: 11942–11951

Nonparaxial analysis of vectorial Laguerre-Bessel-Gaussian beams

Zhangrong Mei and Daomu Zhao  »View Author Affiliations


Optics Express, Vol. 15, Issue 19, pp. 11942-11951 (2007)
http://dx.doi.org/10.1364/OE.15.011942


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Abstract

The concept of vectorial Laguerre-Bessel-Gaussian (LBG) beams is proposed. On the basis of vectorial Rayleigh-Sommerfeld formulas, the analytical formulas for the nonparaxial propagation of vectorial LBG beams are derived and applied to study the nonparaxial propagation properties of vectorial LBG beams. The far field and paraxial approximation are dealt with as special cases of our general results. Some detailed comparisons of the obtained results with the paraxial results are made, which show the propagation of paraxial and nonparaxial LBG beams is all instable in the near field and the f parameter plays the important role in determining the nonparaxiality of vectorial LBG beams. The beam parameter α also affects the propagation behavior of nonparaxial LBG beams. Under certain conditions, the obtained results can be reduced to those of the cases for vectorial Laguerre-Gaussian and Bessel Gaussian beams.

© 2007 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(140.3300) Lasers and laser optics : Laser beam shaping

ToC Category:
Physical Optics

History
Original Manuscript: July 24, 2007
Revised Manuscript: August 26, 2007
Manuscript Accepted: September 2, 2007
Published: September 5, 2007

Citation
Zhangrong Mei and Daomu Zhao, "Nonparaxial analysis of vectorial Laguerre-Bessel-Gaussian beams," Opt. Express 15, 11942-11951 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-19-11942


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References

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