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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 35, Iss. 20 — Oct. 15, 2010
  • pp: 3465–3467

Analytic solution of flat-top Gaussian and Laguerre–Gaussian laser field components

Alexander Cerjan and Charles Cerjan  »View Author Affiliations


Optics Letters, Vol. 35, Issue 20, pp. 3465-3467 (2010)
http://dx.doi.org/10.1364/OL.35.003465


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Abstract

We generalized the nonparaxial field components of Laguerre–Gaussian and flattened Gaussian beams obtained using the angular spectrum method to include symmetric radial and angular expansions and simplified them using an approximate evaluation of the integral equations for the field components. These field components possess series expressions in orders of a natural expansion parameter, which clarifies the physical interpretation of the series expansion. A connection between Laguerre–Gaussian and flat-top Gaussian profiles is obtained.

© 2010 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1960) Diffraction and gratings : Diffraction theory
(070.2590) Fourier optics and signal processing : ABCD transforms
(100.3020) Image processing : Image reconstruction-restoration
(100.6890) Image processing : Three-dimensional image processing

ToC Category:
Diffraction and Gratings

History
Original Manuscript: July 12, 2010
Manuscript Accepted: September 2, 2010
Published: October 13, 2010

Citation
Alexander Cerjan and Charles Cerjan, "Analytic solution of flat-top Gaussian and Laguerre–Gaussian laser field components," Opt. Lett. 35, 3465-3467 (2010)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-35-20-3465


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References

  1. M. Lax, W. H. Louisell, and W. B. McKnight, Phys. Rev. A 11, 1365 (1975). [CrossRef]
  2. L. Cicchitelli, H. Hora, and R. Postle, Phys. Rev. A 41, 3727 (1990). [CrossRef] [PubMed]
  3. B. Quesnel and P. Mora, Phys. Rev. E 58, 3719 (1998). [CrossRef]
  4. S. M. Sepke and D. P. Umstadter, Opt. Lett. 31, 1447 (2006). [CrossRef] [PubMed]
  5. M. A. Bandres and J. C. Gutiérrez-Vega, 29, 2213 (2004).
  6. S. Yan and B. Yao, 32, 3367 (2007).
  7. G. Zhou, Opt. Commun. 283, 3383 (2010). [CrossRef]
  8. G. P. Agrawal and D. N. Pattanayak, J. Opt. Soc. Am. 69, 575 (1979). [CrossRef]
  9. P. C. Clemmow, The Plane Wave Spectrum Representations of Electromagnetic Fields (Pergamon, 1966).
  10. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968).
  11. C. J. Bouwkamp, Rep. Prog. Phys. 17, 32 (1950).
  12. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 7th ed. (Academic, 2007), Eq. 6.631 (1).
  13. D. R. Rhodes, IEEE Trans. Antennas Propagat. 14, 676(1966). [CrossRef]
  14. W. H. Carter, J. Opt. Soc. Am. 62, 1195 (1972). [CrossRef]

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