TM Electromagnetic Scattering from 2D Multilayered Dielectric Bodies - Numerical Solution

Authors

  • F. Seydou Department of Electrical and Information Engineering University of Oulu, P.O. Box 3000, 90401 Finland
  • . Sepp ̈anen Department of Electrical and Information Engineering University of Oulu, P.O. Box 3000, 90401 Finland
  • R. Duraiswami nstitute for Advanced Computer Studies University of Maryland, College Park, MD
  • N.A. Gumerov nstitute for Advanced Computer Studies University of Maryland, College Park, MD

Keywords:

TM Electromagnetic Scattering from 2D Multilayered Dielectric Bodies - Numerical Solution

Abstract

An integral equation approach is derived for an electromagnetic scattering from an M arbitrary multilayered
dielectric domain. The integral equation is valid for the 2D and 3D Helmholtz equation. Here we show the
numerical solution for the 2D case by using the Nystr ̈om method. For validating the method we develop a
mode matching method for the case when the domains are multilayered circular cylinders and give numerical
results for illustrating the algorithm

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References

C. Athanastadis, “On the acoustic scattering

amplitude for a multi-layered scatterer,”J. Aus-

tral. Math. Soc. Ser. B 39, pp. 431–448, 1998.

C. Athanasiadis, A.G. Ramm and I.G. Stratis,

“Inverse acoustic scattering by a layered

obstacle,”in Inverse Problems, Tomography,

and Image Processing (ed. A.G. Ramm),

Plenum Press, New York, pp. 1–8, 1998.

N. N. Bojarski, “The k-space formulation of the

scattering problem in the time domain,”J. Opt.

Soc. Amer., Vol. 72, pp. 570–584, 1982.

O.P. Bruno and A. Sei, “A fast high-order solver

for EM scattering from complex penetrable bod-

ies: TE case,”IEEE Transactions on Antennas

and Propagation, Vol. 48, 12, pp. 1862–1864,

K. Chadan, D. Colton, L. Paivarinta and W.

Rundell, An Introduction to Inverse Scattering

and Inverse Spectral Problems, SIAM Mono-

graphs on Mathematical Modeling and Compu-

tation, 1997.

W. C. Chew, Waves and Fields in Inhomogen-

eous Media, IEEE Press, 1995.

D. Colton and R. Kress, Integral Equation in

Scattering Theory, John Wiley & Sons, 1983.

D. Colton and R. Kress, Inverse Acoustic and

Electromagnetic Scattering Theory, Springer

Verlag, 1992.

A. Kishk, R. Parrikar and A. Elsherbeni, “Elec-

tromagnetic Scattering from an eccentric mul-

tilayered circular cylinder,”IEEE Trans. Anten-

nas and Prop. Vol. 40, No3 pp. 295–303, 1992.

R.E. Kleinmann and P.A. Martin, “On single

integral equations for the transmission problem

of acoustics,”SIAM J. Appl. Math. Vol. 48, No.

, pp. 307–325, 1988.

R. Kress, “On the numerical solution of a hy-

persingular integral equation in scattering the-

ory,”J. Comp. Appl. Math. Vol. 61, pp. 345–360,

E. Larsson, “A domain decomposition method

for the Helmholtz equation in a multilayer do-

main,”SIAM J. Sci. Comput., Vol. 20, pp. 1713–

, 1999.

Olivier J. F. Martin and Nicolas B. Piller, “Elec-

tromagnetic scattering in polarizable back-

grounds,”Phys. Rev. E 58, No. 3, pp. 3909–

, 1998.

P.A. Martin and P. Ola, “Boundary integral

equations for the scattering of electromagnetic

waves by a homogeneous dielectric obstacle,”J.

Proc. R. Soc. Edinb., Sect. A 123, No. 1, pp.

–208, 1993.

J.M. Song and W.C. Chew, “FMM and

MLFMA in 3D and Fast Illinois Solver Code,

Chapter 3”in Fast and Efficient Algorithms

in Computational Electromagnetics, edited by

Chew, Jin, Michielssen, and Song, Artech

House, 2001.

Z. Wu and L. Guo, “Electromagnetic scat-

tering from a multilayered cylinder arbitrarily

located in a gaussian beam, a new recursive

algorithms,”Progress In Electromagnetics Re-

search, PIER 18, pp. 317–333, 1998

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Published

2022-06-18

How to Cite

[1]
F. . Seydou, ̈anen . S. ., R. . Duraiswami, and N. . Gumerov, “TM Electromagnetic Scattering from 2D Multilayered Dielectric Bodies - Numerical Solution”, ACES Journal, vol. 19, no. 2, pp. 100–107, Jun. 2022.

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