PIER B
 
Progress In Electromagnetics Research B
ISSN: 1937-6472
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 29 > pp. 209-231

FORWARD AND BACKWARD WAVES IN HIGH-FREQUENCY DIFFRACTION BY AN ELONGATED SPHEROID

By I. V. Andronov and D. Bouche

Full Article PDF (362 KB)

Abstract:
The asymptotics of induced current of forward and backward waves on a strongly elongated spheroid is constructed by matching the asymptotic representations to exact solution valid in a vicinity of the rear tip of the spheroid. These asymptotic results are compared with numerical computations.

Citation:
I. V. Andronov and D. Bouche, "Forward and Backward Waves in High-Frequency Diffraction by an Elongated Spheroid," Progress In Electromagnetics Research B, Vol. 29, 209-231, 2011.
doi:10.2528/PIERB11021805

References:
1. Ruan, Y. C., X. Y. Zhou, J. Y. Chin, T. J. Cui, Y. B. Tao, and H. Lin, "The UTD analysis to EM scattering by arbitrarily convex objects using ray tracing of creeping waves on numerical meshes," IEEE AP Symposium, 1-4, 2008.

2. Fock, V. A., "Diffraction of radio-waves around the earth's surface," Journ. of Phys. of the U.S.S.R., Vol. 9, No. 4, 255, 1945.

3. Hönl, H., A. W. Maue, and K. Westpfahl, Theorie der Beugung, Springer-Verlag, Berlin, 1961.

4. Belkina, M. G. and L. A. Weinstein, The characteristics of radiation of spherical surface antennas, Diffraction of Electromagnetic Waves by Some Bodies of Revolution, 57-125, Soviet Radio, Moscow, 1957 (in Russian).

5. Tran Van Nhieu, M., "Spherical wave scattering by slender bodies," IEEE Trans. UF'FC, Vol. 40, No. 4, 325-329, 1993.

6. Yeh, Z., et al., "A method for acoustic scattering by slender bodies," J. Acoust. Soc. Am., Vol. 102, No. 4, 1997.

7. Molinet, F., "Diffraction of a creeping wave on an elongated perfectly conducting or coated object by a sharp edge," ICEAA, 2009.

8. Engineer, J. C., J. R. King, and R. H. Tew, "Diffraction by slender bodies," European Journal of Applied Mathematics, Vol. 9, No. 2, 129-158, 1998.
doi:10.1017/S0956792598003441

9. Andronov, I. V., "High-frequency asymptotics for diffraction by a strongly elongated body," Antennas and Wireless Propagation Letters, Vol. 8, 872, 2009.
doi:10.1109/LAWP.2009.2026498

10. Andronov, I. V., "High frequency asymptotics of electromagnetic field on a strongly elongated spheroid," PIERS Online, Vol. 5, No. 6, 536-540, 2009.

11. Han, Y. P., L. Méés, K. F. Ren, G. Gouesbet, Z. S. Wu, and G. Grehan, "Scattering light by spheroids: The far field case," Opt. Commun., Vol. 210, 1-9, 2002.
doi:10.1016/S0030-4018(02)01755-8

12. Li, L.-W., X.-K. Kang, and M.-S. Leong, Spheroidal Wave Functions in Electromagnetic Theory, Wiley-Interscience, 2001.
doi:10.1002/0471221570

13. Molinet, F., I. V. Andronov, and D. Bouche, Asymptotic and Hybrid Methods in Electromagnetics, The Institution of Engineering and Technology, London, 2005.

14. Fock, V. A., Theory of diffraction by a paraboloid of revolution, Diffraction of Electromagnetic Waves by Some Bodies of Revolution, 5-56, Soviet Radio, Moscow, 1957.

15. Komarov, I. V., L. I. Ponomarev, and S. Y. Slavyanov, Spheroidal and Coulomb Spheroidal Functions, Science, Science, Moscow, 1976 (in Russian).

16. Abramowitz, M. and I. Stegun, Handbook of Mathematical Functions, National Bureau of Standards, New York, 1964.

17. Vilenkin, N. J., Special Functions and the Theory for Group Representations, American Mathematical Society, 1968.

18. Thompson, I. J. and A. R. Barnett, "COULCC: A continued-fraction algorithm for Coulomb functions of complex order with complex arguments," Computer Physics Communications, Vol. 36, 363-372, 1985.
doi:10.1016/0010-4655(85)90025-6


© Copyright 2010 EMW Publishing. All Rights Reserved