OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 28, Iss. 7 — Jul. 1, 2011
  • pp: 1489–1495

Semianalytic solution to the problem of scattering from multiple cylinders above a perfectly conductive surface

Babak Alavikia and Omar M. Ramahi  »View Author Affiliations

JOSA A, Vol. 28, Issue 7, pp. 1489-1495 (2011)

View Full Text Article

Enhanced HTML    Acrobat PDF (969 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present a novel semianalytical method using multipole expansion technique to solve the problem of scattering from multiple perfectly conducting cylinders placed above a perfectly conducting ground plane. The idea behind the formulation is based on the observation that an infinite flat ground plane can be approximated as a cylinder with a radius approaching infinity. Using Green’s representation of the electromagnetic fields and using addition theorem of Bessel function, we expand the fields in terms of multipoles. Applying the appropriate boundary condition on the surface of the cylinders and the ground plane based on the field polarization results in a set of linear systems of equations containing the multipole’s coefficients. The technique presented here is highly efficient in terms of computing resources, versatile, and accurate. The near fields are generated for single and multiple object examples.

© 2011 Optical Society of America

OCIS Codes
(290.0290) Scattering : Scattering
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:

Original Manuscript: May 19, 2011
Revised Manuscript: June 7, 2011
Manuscript Accepted: June 8, 2011
Published: June 28, 2011

Babak Alavikia and Omar M. Ramahi, "Semianalytic solution to the problem of scattering from multiple cylinders above a perfectly conductive surface," J. Opt. Soc. Am. A 28, 1489-1495 (2011)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. Apra, M. D. Amore, K. Gigliotti, M. S. Sarto, and V. Volpi, “Lightning indirect effects certification of a transport aircraft by numerical simulation,” IEEE Trans. Electromagn Compat. 50, 513–523 (2008). [CrossRef]
  2. R. Holland and R. St. John, “EM pickup and scattering by a wire,” IEEE Trans. Electromagn. Compat. 42, 461–469 (2000). [CrossRef]
  3. M. S. Sarto, “Electromagnetic interference from carrier channels on finite-length power lines above a lossy ground in a wide frequency range,” IEEE Trans. Power Deliv. 13, 336–343 (1998). [CrossRef]
  4. P. J. Valle, F. Gonzalez, and F. Moreno, “Electromagnetic wave scattering from conducting cylindrical structures on flat substrates: study by means of the extinction theorem,” Appl. Opt. 33, 512–523 (1994). [CrossRef] [PubMed]
  5. P. J. Valle, F. Moreno, and J. M. Saiz, “Comparison of real- and perfect-conductor approaches for scattering by a cylinder on a flat substrate,” J. Opt. Soc. Am. A 15, 158–162 (1998). [CrossRef]
  6. P. J. Valle, F. Moreno, J. M. Saiz, and F. Gonzalez, “Near-field scattering from subwavelength metallic protuberances on conducting flat substrates,” Phys. Rev. B 51, 13681–13690 (1995). [CrossRef]
  7. J. M. Saiz, P. J. Valle, F. Gonzalez, F. Moreno, and D. L. Jordan, “Backscattering from particulate surfaces: experiment and theoretical modeling,” Opt. Eng. 33, 1261–1270 (1994). [CrossRef]
  8. A. Madrazo and M. Nieto-Vesperinas, “Scattering of electromagnetic waves from a cylinder in front of a conducting plane,” J. Opt. Soc. Am. A 12, 1298–1309 (1995). [CrossRef]
  9. M. A. Taubenblatt, “Light scattering from cylindrical structures on surfaces,” Opt. Lett. 15, 255–257 (1990). [CrossRef] [PubMed]
  10. R. Borghi, F. Gori, M. Santarsiero, F. Frezza, and G. Schettin, “Plane-wave scattering by a perfectly conducting circular cylinder near a plane surface: cylindrical-wave approach,” J. Opt. Soc. Am. A 13, 483–493 (1996). [CrossRef]
  11. R. Borghi, F. Gori, M. Santarsiero, F. Frezza, and G. Schettin, “Plane-wave scattering by a set of perfectly conducting circular cylinders in the presence of a plane surface,” J. Opt. Soc. Am. A 13, 2441–2452 (1996). [CrossRef]
  12. J. C. Chao, F. J. Rizzo, I. Elshafiey, Y. J. Liu, L. Upda, and P. A. Martin, “General formulation for light scattering by a dielectric body near a perfectly conducting surface,” J. Opt. Soc. Am. A 13, 338–344 (1996). [CrossRef]
  13. E. Arvas, R. F. Harrington, and J. R. Mautz, “Radiation and scattering from electrically small conducting bodies of arbitrary shape above an infinite ground plane,” IEEE Trans. Antennas Propag. 35, 378–383 (1987). [CrossRef]
  14. Y. Wang, Y. Zhang, M. He, and L. Guo, “Calculation of electromagnetic scattering from a two-dimensional target in the vicinity of a plane surface by a hybrid method,” J. Opt. Soc. Am. A 25, 1232–1239 (2008). [CrossRef]
  15. F. Baumgartner, J. Munk, and J. Daniels, “A geometric optics model for high-frequency electromagnetic scattering from dielectric cylinders,” Geophysics 66, 1130–1140 (2001). [CrossRef]
  16. J. T. Johnson, “A study of the Four-Path model for scattering from an object above a half space,” Microw. Opt. Technol. Lett. 30, 130–134 (2001). [CrossRef]
  17. B. Alavikia and O. M. Ramahi, “Fundamental limitations on the use of open-region boundary conditions and matched layers to solve the problem of gratings in metallic screens,” Applied Computational Electromagnetics Society Journal 25, 652–658 (2010).
  18. F. Saydou, T. Seppanen, and O. M. Ramahi, “Computation of the Helmholtz eigenvalues in a class of chaotic cavities using the multipole expansion technique,” IEEE Trans. Antennas Propag. 57, 1169–1177 (2009). [CrossRef]
  19. R. F. Harrington, “Cylindrical wave functions,” in Time-Harmonic Electromagnetic Fields (IEEE, 2001), p. 232.
  20. “COMSOL Multiphysics Version 3.5a,” http://www.comsol.com/.

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited