OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 25, Iss. 2 — Feb. 1, 2008
  • pp: 131–135

Scattering of shaped beam by an infinite cylinder of arbitrary orientation

Huayong Zhang and Yiping Han  »View Author Affiliations


JOSA B, Vol. 25, Issue 2, pp. 131-135 (2008)
http://dx.doi.org/10.1364/JOSAB.25.000131


View Full Text Article

Enhanced HTML    Acrobat PDF (110 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A method of calculating the scattered electromagnetic fields of an infinite cylinder of arbitrary orientation illuminated with a shaped beam is presented. The method relies on the use of a theory known as the generalized Lorenz–Mie theory that provides the general framework. The three-dimensional nature of the incident shaped beam is considered. For the case of a tightly focused Gaussian beam propagating perpendicular to the cylinder axis, the scattering characteristics that are different from those for an incident plane wave are described in detail, and numerical results of the normalized differential scattering cross section are evaluated.

© 2008 Optical Society of America

OCIS Codes
(140.3430) Lasers and laser optics : Laser theory
(260.2110) Physical optics : Electromagnetic optics
(290.4020) Scattering : Mie theory

ToC Category:
Scattering

History
Original Manuscript: June 8, 2007
Revised Manuscript: September 29, 2007
Manuscript Accepted: October 19, 2007
Published: January 7, 2008

Citation
Huayong Zhang and Yiping Han, "Scattering of shaped beam by an infinite cylinder of arbitrary orientation," J. Opt. Soc. Am. B 25, 131-135 (2008)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-25-2-131


Sort:  Year  |  Journal  |  Reset  

References

  1. J. R. Wait, "Scattering of a plane wave from a circular dielectric cylinder at oblique incidence," Can. J. Phys. 33, 189-195 (1955). [CrossRef]
  2. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
  3. J. A. Lock, "Scattering of a diagonally incident focused Gaussian beam by an infinitely long homogeneous circular cylinder," J. Opt. Soc. Am. A 14, 640-652 (1997). [CrossRef]
  4. G. Gouesbet and G. Gréhan, "Interaction between a Gaussian beam and an infinite cylinder with the use of non-Σ-separable potentials," J. Opt. Soc. Am. A 11, 3261-3273 (1994). [CrossRef]
  5. G. Gouesbet, "Interaction between Gaussian beams and infinite cylinders, by using the theory of distributions," J. Opt. (Paris) 26, 225-239 (1995). [CrossRef]
  6. G. Gouesbet, G. Gréhan, and K. F. Ren, "Rigorous justification of the cylindrical localized approximation to speed up computations in the generalized Lorenz-Mie theory for cylinders," J. Opt. Soc. Am. A 15, 511-523 (1998). [CrossRef]
  7. G. Gouesbet, K. F. Ren, L. Mees, and G. Gréhan, "Cylindrical localized approximation to speed up computations for Gaussian beams in the generalized Lorenz-Mie theory for cylinders, with arbitrary location and orientation of the scatterer," Appl. Opt. 38, 2647-2665 (1999). [CrossRef]
  8. G. Gouesbet, "Validity of the cylindrical localized approximation for arbitrary shaped beams in generalized Lorenz-Mie theory for circular cylinders," J. Mod. Opt. 46, 1185-1200 (1999). [CrossRef]
  9. K. F. Ren, G. Gréhan, and G. Gouesbet, "Scattering of a Gaussian beam by an infinite cylinder in the framework of generalized Lorenz-Mie theory formulation and numerical results," J. Opt. Soc. Am. A 14, 3014-3025 (1997). [CrossRef]
  10. L. Mees, K. F. Ren, G. Gréhan, and G. Gouesbet, "Scattering of a Gaussian beam by an infinite cylinder with arbitrary location and arbitrary orientation, numerical results," Appl. Opt. 38, 1867-1876 (1999). [CrossRef]
  11. G. Gouesbet, B. Maheu, and G. Gréhan, "Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation," J. Opt. Soc. Am. A 5, 1427-1443 (1988). [CrossRef]
  12. G. Gouesbet, G. Gréhan, and B. Maheu, "Computations of the gn coefficients in the generalized Lorenz-Mie theory using three different methods," Appl. Opt. 27, 4874-4883 (1988). [CrossRef] [PubMed]
  13. G. Gouesbet, G. Gréhan, and B. Maheu, "Localized interpretation to compute all the coefficients gnm in the generalized Lorenz-Mie theory," J. Opt. Soc. Am. A 7, 998-1003 (1990). [CrossRef]
  14. A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton U. Press, 1957), Chap. 4.
  15. S. Stein, "Addition theorems for spherical wave functions," Q. Appl. Math. 19, 15-24 (1961).
  16. H. Y. Zhang, Y. P. Han, and G. X. Han, "Expansion of the electromagnetic fields of a shaped beam in terms of cylindrical vector wave functions," J. Opt. Soc. Am. B 24, 1383-1391 (2007). [CrossRef]
  17. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, 1941).
  18. A. Doicu and T. Wriedt, "Computation of the beam-shape coefficients in the generalized Lorenz-Mie theory by using the translational addition theorem for spherical vector wave functions," Appl. Opt. 36, 2971-2978 (1997). [CrossRef] [PubMed]
  19. L. W. Davis, "Theory of electromagnetic beam," Phys. Rev. A 19, 1177-1179 (1979). [CrossRef]
  20. J. P. Barton and D. R. Alexander, "Fifth-order corrected electromagnetic field components for a fundamental Gaussian beam," J. Appl. Phys. 66, 2800-2802 (1989). [CrossRef]
  21. C. T. Tai, Dyadic Green's Functions in Electromagnetic Theory (International Textbook Company, 1971).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 

Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited