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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • 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)
http://dx.doi.org/10.1364/JOSAA.28.001489


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Abstract

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:
Scattering

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

Citation
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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-7-1489

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