PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 31 > pp. 225-245

BISTATIC SCATTERING AND BACKSCATTERING OF ELECTROMAGNETIC WAVES BY CONDUCTING AND COATED DIELECTRIC SPHEROIDS: A NEW ANALYSIS USING MATHEMATICA PACKAGE

By L. W. Li, T. S. Yeo, and M. S. Leong

Full Article PDF (281 KB)

Abstract:
Solutions to electromagnetic scattering at any angle of incidence by a perfectly conducting spheroid and a homogeneous dielectric spheroid coated with a dielectric layer are obtained by solving Maxwell's equations together with boundary conditions. The method used is that of expanding electric and magnetic fields in the spheroidal coordinates in terms of the spheroidal vector wave functions and matching their respective boundary conditions at spheroidal interfaces. In this formulation, the column vector of the series expansion coefficients of the scattered field is obtained from that of the incident field by means of a matrix transformation, which is in turn obtained from a system of equations derived from boundary conditions. The matrix depends only on the scatterer's properties; hence the scattered field at a different direction of incidence is obtained without repeatedly solving a new set of simultaneous equations. Different from the previous work, the present work developed an accurate and efficient Mathematica source code for more accurate solution to the problem. Normalized bistatic and backscattering cross sections are obtained for conducting (for verification purpose), homogeneous dielectric (for verification purpose), and coated dielectric prolate (for some new results) spheroids, with real and complex permittivities. Numerically exact results for the coated dielectric prolate spheroids are newly obtained and are not found in existing literature.

Citation: (See works that cites this article)
L. W. Li, T. S. Yeo, and M. S. Leong, "Bistatic Scattering and Backscattering of Electromagnetic Waves by Conducting and Coated Dielectric Spheroids: a New Analysis Using Mathematica Package," Progress In Electromagnetics Research, Vol. 31, 225-245, 2001.
doi:10.2528/PIER00071706
http://www.jpier.org/PIER/pier.php?paper=0007176

References:
1. Stratton, J. A., Electromagnetic Theory, McGraw-Will, New York, 1941.

2. Van de Hulst, H. C., Light Scattering by Small Particles, John Wiley & Sons, New York, 1957.
doi:10.1063/1.3060205

3. Rheinstein, J., "Scattering of electromagnetic waves from dielectric coated conducting spheres," IEEE Trans. Antennas Propagat., Vol. 12, No. 3, 334-340, March 1964.
doi:10.1109/TAP.1964.1138223

4. Adey, A. W., "Scattering of electromagnetic waves by long cylinder," Electron. Radio Eng., Vol. 35, 149-158, 1958.

5. Uslenghi, P. L. E., "High frequency scattering from a coated cylinder," Canadian Journal of Physics, Vol. 42, 2121-2128, 1964.
doi:10.1139/p64-195

6. Siegel, K. M., F. V. Schultz, B. H. Gere, and F. B. Sleator, "The theory and numerical determination of the radar cross section of a prolate spheroid," IRE Trans. Antennas Propagat., Vol. 4, 266-275, 1956.
doi:10.1109/TAP.1956.1144425

7. Sinha, B. P. and R. H. MacPhie, "Electromagnetic scattering from prolate spheroids for axial incidence," IEEE Trans. Antennas Propagat., Vol. 23, No. 5, 676-679, May 1975.
doi:10.1109/TAP.1975.1141161

8. 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.
doi:10.1029/RS012i002p00171

9. Flammer, C., Spheroidal Wave Functions, Stanford Univ. Press, California, 1957.

10. Asano, S. and G. Yamamoto, "Light scattering by a spheroidal particle," Appl. Opt., Vol. 14, 29-49, 1975.
doi:10.1364/AO.14.000029

11. Cooray, M. F. R. and I. R. Ciric, "Scattering of electromagnetic waves by a coated dielectric spheroid," J. Electromagn. Waves Applic., Vol. 6, 1491-1507, 1992.
doi:10.1163/156939392X00021

12. Perterson, B. and S. Strom, "T-matrix formulation of electromagnetic scattering from multilayered scatterers," Phys. Review D, Vol. 10(8), 2670-2684, Oct. 1974.

13. Wang, D. S. and P. W. Barber, "Scattering by inhomogeneous nonspherical objects," Appl. Opts., Vol. 18(8), 1190-1197, April 1979.

14. Li, L.-W., M.-S. Leong, T.-S. Yeo, P.-S. Kooi, and K. Y. Tan, "Computations of spheroidal harmonics with complex argument: A review with an algorithm," Physical Review E, Vol. 58, No. 5, 6792-6806, November 1998.
doi:10.1103/PhysRevE.58.6792

15. Stratton, J. A., P. M. Morse, L. J. Chu, J. D. C. Little, and F. J. Corbato, Spheroidal Wave Functions, John Wiley & Sons, New York, 1956.

16. Sinha, B. P. and A. R. Sebak, "Scattering by a conducting spheroidal object with dielectric coating at axial incidence," IEEE Trans. Antennas Propagat., Vol. 40, No. 3, 268-274, 1992.
doi:10.1109/8.135468

17. Sebak, A. and L. Shafai, "Electromagnetic scattering by spheroidal objects with impedance boundary conditions at axial incidence," Radio Sci., Vol. 23, No. 6, 1048-1060, 1988.
doi:10.1029/RS023i006p01048

18. Bohren, C. F. and D. R. Huffman, Absorption and Scattering of Light by Small Particles, John Wiley & Sons, New York, 1983.

19. Born, M. and E. Wolf, Principles of Optics, Pergamon Press, Oxford, 1970.


© Copyright 2014 EMW Publishing. All Rights Reserved