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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 10 — Oct. 1, 2007
  • pp: 3348–3353

Radiation pattern of azimuthally varying scalar Laguerre–Gauss waves

S. R. Seshadri  »View Author Affiliations

JOSA A, Vol. 24, Issue 10, pp. 3348-3353 (2007)

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The exact full-wave generalization of the azimuthally varying scalar real-argument Laguerre–Gauss beam is obtained. The radiation intensity of the resulting azimuthally varying real-argument Laguerre–Gauss wave is determined. The main characteristics of the radiation intensity pattern are discussed. The total power P n , m is determined, where n is the radial mode number and m is the azimuthal mode number. By the use of 1 P n , m , the characteristics of the quality of the paraxial beam approximation to the real-argument Laguerre–Gauss wave are investigated.

© 2007 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation

ToC Category:
Physical Optics

Original Manuscript: June 8, 2007
Revised Manuscript: July 19, 2007
Manuscript Accepted: July 26, 2007
Published: September 24, 2007

S. R. Seshadri, "Radiation pattern of azimuthally varying scalar Laguerre-Gauss waves," J. Opt. Soc. Am. A 24, 3348-3353 (2007)

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  1. J. Arlt, T. Hitomi, and K. Dholakia, "Atom guiding along Laguerre-Gaussian and Bessel light beams," Appl. Phys. B 71, 549-554 (2000). [CrossRef]
  2. S. R. Seshadri, "Quality of paraxial electromagnetic beams," Appl. Opt. 45, 5335-5345 (2006). [CrossRef] [PubMed]
  3. S. R. Seshadri, "Dynamics of the linearly polarized fundamental Gaussian light wave," J. Opt. Soc. Am. A 24, 482-492 (2007). [CrossRef]
  4. H. Kogelnik and T. Li, "Laser beams and resonators," Appl. Opt. 5, 1550-1567 (1966). [CrossRef] [PubMed]
  5. T. Takenaka, M. Yokota, and O. Fukumitsu, "Propagation for light beams beyond the paraxial approximation," J. Opt. Soc. Am. A 2, 826-829 (1985). [CrossRef]
  6. S. R. Seshadri, "Complex-argument Laguerre-Gauss beams: transport of mean-squared beam width," Appl. Opt. 44, 7339-7343 (2005). [CrossRef] [PubMed]
  7. S. R. Seshadri, "Virtual source for a Laguerre-Gauss beam," Opt. Lett. 27, 1872-1874 (2002). [CrossRef]
  8. M. A. Bandres and J. C. Gutierrez-Vega, "Higher-order complex source for elegant Laguerre-Gauss waves," Opt. Lett. 29, 2213-2215 (2004). [CrossRef] [PubMed]
  9. S. R. Seshadri, "Radiation pattern of cylindrically symmetric scalar Laguerre-Gauss beams," Opt. Lett. 32, 1159-1161 (2007). [CrossRef] [PubMed]
  10. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995), pp. 287-290.
  11. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of the Laguerre-Gaussian laser modes," Phys. Rev. A 45, 8185-8189 (1992). [CrossRef] [PubMed]
  12. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (U.S. Government Printing Office, Washington, D.C., 1965), p. 784, Formula 22.9.15.

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