Numerical Solution of Electromagnetic Scattering by Multiple Cylinders
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Numerical Solution of Electromagnetic Scattering by Multiple CylindersAbstract
A numerical solution based on integral equation is derived for an electromagnetic scattering from M multiple parallel cylinders. The problem is twodimensional and the integral equation is solved using the Nystr¨om method. To validate the algorithm, we compare our numerical results with the semi-analytical ones obtained from multipole expansion method.
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References
D. Felbacq, G. Tayeb, and D. Maystre, “Scattering by
a random set of parallel cylinders,” J. Opt. Soc. Am. A,
vol. 11, pp. 25262538 1994.
A. Z. Elsherbeni and A. A. Kishk, “Modeling of
cylindrical objects by circular dielectric and conducting
cylinders,” IEEE Trans. Antennas Propag., vol. 40, pp.
-99, 1992.
O. P. Bruno and A. Sei, “A fast high-order solver for
EM scattering from complex penetrable bodies: TE
case,” IEEE Trans. Antennas Propag., vol. 48, pp. 1862-
, 2000.
Olivier J. F. Martin & Nicolas B. Piller, “Electromag-
netic scattering in polarizable backgrounds,” Phys. Rev.
E, vol. 58, pp. 3909-3915, 1998.
W. C. Chew, Waves and Fields in Inhomogeneous
Media, IEEE Press, 1995.
M. A. Haider, S. P. Shipman, and S. Venakides,
“Boundary-integral calculations of two-dimensional
electromagnetic scattering in infinite photonic crystal
slabs: Channel defects and resonances,” SIAM Journal
on Applied Mathematics, vol. 62, pp. 2129-2148, 2002.
D. Colton and R. Kress, Inverse Acoustic and Electro-
magnetic Scattering Theory, Springer Verlag, 1997.
P. A. Martin, P. Ola, “Boundary integral equations for
the scattering of electromagnetic waves by a homoge-
neous dielectric obstacle,” Proc. R. Soc. Edinb., Sect.
A, vol. 123, pp. 185-208, 1993.
D. Colton and R. Kress, Integral Equation Methods in
Scattering Theory, John Wiley, New York, 1983.
R. Kress, “On the numerical solution of a hypersingular
integral equation in scattering theory,” J. Comp. Appl.
Math., vol. 61, pp. 345-360, 1995.
R, Kress, Linear Integral Equations, New York,
Springer-Verlag, 1989.
W. Hackbusch, Multi-Grid Methods and Applications,
Springer-Verlag, Berlin, 1985.
J. M. Song and W. C. Chew, “FMM and MLFMA in
D and fast illinois solver code,” in Fast and Efficient
Algorithms in Computational Electromagnetics, Chew,
Jin, Michielssen, and Song, eds., Norwood, MA, Artech
House, 2001.
