PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 67 > pp. 113-134

ELECTROMAGNETIC SCATTERING BY A METALLIC SPHEROID USING SHAPE PERTURBATION METHOD

By A. D. Kotsis and J. A. Roumeliotis

Full Article PDF (324 KB)

Abstract:
The scattering of a plane electromagnetic wave by a perfectly conducting prolate or oblate spheroid is considered analytically by a shape perturbation method. The electromagnetic field is expressed in terms of spherical eigenvectors only, while the equation of the spheroidal boundary is given in spherical coordinates. There is no need for using any spheroidal eigenvectors in our solution. Analytical expressions are obtained for the scattered field and the scattering cross-sections, when the solution is specialized to small values of the eccentricity h = d/(2a), (h<<1), where d is the interfocal distance of the spheroid and 2a the length of its rotation axis. In this case exact, closed-form expressions, valid for each small h, are obtained for the expansion coefficients g(2) and g(4) in the relation S(h) = S(0)[1 + g(2)h2 + g(4)h4 + O(h6)] expressing the scattering cross-sections. Numerical results are given for various values of the parameters.

Citation: (See works that cites this article)
A. D. Kotsis and J. A. Roumeliotis, "Electromagnetic Scattering by a Metallic Spheroid Using Shape Perturbation Method," Progress In Electromagnetics Research, Vol. 67, 113-134, 2007.
doi:10.2528/PIER06080202
http://www.jpier.org/PIER/pier.php?paper=06080202

References:
1. Mushiake, Y., "Backscattering for arbitrary angles of incidence of a plane electromagnetic wave on a perfectly conducting spheroid with small eccentricity," J. Appl. Phys., Vol. 27, 1549-1556, 1956.
doi:10.1063/1.1722305

2. Moffatt, D. L. and E. M. Kennaugh, "The axial echo area of a perfectly conducting prolate spheroid," IEEE Trans. Antennas Propagat., Vol. 13, 401-409, 1965.
doi:10.1109/TAP.1965.1138438

3. Moffatt, D. L., "The echo area of a perfectly conducting prolate spheroid," IEEE Trans. Antennas Propagat., Vol. 17, 299-307, 1969.
doi:10.1109/TAP.1969.1139419

4. Senior, T. B. A., "The scattering of an electromagnetic wave by a spheroid," Can. J. Phys., Vol. 44, 1353-1359, 1966.

5. Sinha, B. P. and R. H. MacPhie, "Electromagnetic scattering from prolate spheroids for axial incidence," IEEE Trans. Antennas Propagat., Vol. 23, 676-679, 1975.
doi:10.1109/TAP.1975.1141161

6. Sinha, B. P. and R. H. MacPhie, "Electromagnetic scattering by prolate spheroids for plane waves with arbitrary polarization and angle of incidence," Radio Sci., Vol. 12, 171-184, 1977.

7. Li, L.-W., X.-K. Kang, and M.-S. Leong, Spheroidal Wave Functions in Electromagnetic Theory, Wiley, New York, 2002.

8. Flammer, C., Spheroidal Wave Functions, Stanford University Press, Stanford, CA, 1957.

9. Morse, P. M. and H. Feshbach, Methods of Theoretical Physics, McGraw-Hill, New York, 1953.

10. Kokkorakis, G. C. and J. A. Roumeliotis, "Electromagnetic eigenfrequencies in a spheroidal cavity," J. Electrom. Waves Appl., Vol. 11, 279-292, 1997.

11. Kokkorakis, G. C. and J. A. Roumeliotis, "Acoustic eigenfrequencies in concentric spheroidal-spherical cavities: calculation by shape perturbation," J. Sound Vibr., Vol. 212, 337-355, 1998.
doi:10.1006/jsvi.1997.1445

12. Roumeliotis, J. A., A. B. M. S. Hossain, and J. G. Fikioris, "Cutoff wave numbers of eccentric circular and concentric circular-elliptic metallic waveguides," Radio Sci., Vol. 15, 923-937, 1980.

13. Roumeliotis, J. A. and J. G. Fikioris, "Scattering of plane waves from an eccentrically coated metallic sphere," J. Franklin Inst., Vol. 312, 41-59, 1981.
doi:10.1016/0016-0032(81)90071-5

14. Ishimaru, A., Electromagnetic Wave Propagation, Radiation and Scattering, Prentice-Hall, New Jersey, 1991.

15. Asano, S. and G. Yamamoto, "Light scattering by a spheroidal particle," Appl. Opt., Vol. 14, 29-49, 1975.

16. Abramowitz, M. and I. A. Stegun, Handbook of Mathematical Functions, Dover, New York, 1972.


© Copyright 2014 EMW Publishing. All Rights Reserved