Electromagnetic Scattering by a System of Dielectric Spheres Coated With a Dielectric Shell
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Electromagnetic Scattering by a System of Dielectric Spheres Coated With a Dielectric ShellAbstract
Analytical solution is derived to the problem of scattering of electromagnetic plane wave by an array of dielectric spheres each coated with a dielectric shell. The incident, scattered and transmitted electric and magnetic fields are expressed in terms of the vector spherical wave functions. The vector spherical translation addition theorem is applied to impose the boundary conditions on the surface of various layers. Numerical results are computed and presented graphically for the radar cross sections of several configurations of spheres system with multi dielectric layers.
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References
Aden, A.L., and Kerker, M., "Scattering of
electromagnetic waves from two concentric
spheres", J. Appl. Phys., 22, pp. 1242-1246,
Scharfman, H, "Scattering from dielectric coated
spheres in the region of the first resonance", J.
Appl. Phys., 25, pp. 1352-1356, 1954.
Wait, J.R., "Electromagnetic scattering from a
radially inhomogeneous spheres," Appl. Sci.
Res., vol. 10, p. 441, 1963.
10 20 30 40 50 60 70 80 90
α
σ /π a 2
Fig. 8: Normalized backscattering cross section versus
aspect angle
α for a linear array of three identical
dielectric spheres each covered with a dielectric layer with
ka=1.5, kb=1.0, kd=3.0, Ir
ε =4.0, and IIr
ε =3.0.
10 20 30 40 50 60 70 80 90
α
σ /π a 2
Fig. 9: Normalized backscattering cross section versus
aspect angle
α for a linear array of eight identical
dielectric spheres each covered with a dielectric layer with
ka=1.5, kb=1.0, kd=3.0, Ir
ε =4.0, and IIr
ε =3.0.
Medgyesi-Mitschang, L.N, and Putnam, J.M.,"
Electromagnetic scattering from axially
inhomogeneous bodies of revolution," IEEE
Trans. Antennes Propag., vol. AP-32, no. 8, pp.
-806, 1984.
Kyutae, L., and Lee, S.L.," Analysis of
Electromagnetic scattering from an eccentric
multilayered sphere," IEEE Trans. Antennes
Propag., vol. AP-43, no. 11, pp. 1325-1328,
Bruning, J. H., and Lo., Y., 1971, "Multiple
scattering of EM waves by spheres: Parts I
Hamid, et al.: Scattering by a System of Dielectric Spheres Coated with a Dielectric Shell
and II", IEEE Trans., AP-19, pp. 378-400,
Hamid, A-K., Ciric I.R., and Hamid,
M.,"Multiple scattering by a linear array of
conducting spheres", Can. J. Phys., vol. 68, pp.
-1165, 1990.
Hamid, A-K., Ciric I.R., and Hamid, M.,
"Iterative Solution of The Scattering by an
Arbitrary Configuration of Conducting or
Dielectric Spheres", IEE Proc., Part H, vol. 148,
pp. 565-572, 1991.
Hamid, A-K., Ciric I.R., and Hamid, M.,
"Analytic Solutions of The Scattering by Two
Multilayered Dielectric Spheres", Can. J. Phys.,
vol. 70, pp. 696-705, 1992.
Comberg, U., and Wriedt, T." Comparison of
scattering calculations for aggregated particles
based on different models," J. of Quantitative
Spectroscopy and Radiative Transfer, vol. 63, pp.
-162, 1999.
A-K. Hamid, M.I. Hussein, and M. Hamid,
“Radar Cross Section of a System of Conducting
Spheres Each Coated with a Dielectric Layer,” J.
of Electromagnetic Waves and Applications, vol.
, pp. 431-445, 2003.
Hamid, A-K.," Modeling the Scattering from a
Dielectric Spheroid by System of Dielectric
Spheres", J. of Electromagnetic Waves and
Applications, vol.10, no.5, pp. 723-729, 1996.
Hamid, M., and Rao, T.C.K," Scattering by a
multilayered dielectric-coated conducting
cylinder", International J. of Electronics, vol. 38,
pp. 667-673, 1975.
Stratton, J.A., "Electromagnetic Theory",
(McGraw Hill, New York), 1941.
Cruzan, O.R., “Translational addition theorems
for spherical wave functions", Quart. Appl.
Math. , 20, pp. 33-40, 1962.
Hamid, A-K., Hussein, M.I.,and Hamid, M.,
“Bistatic Cross Section of an Array of Dielectric
Spheres Each Covered with a Dielectric Shell,”
the 19 th Annual Review of Progress in Applied
Computational Electromagnetics, Naval
Postgraduate School, Monterey, California,
U.S.A., pp. 77-81, March 2003
