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A Spectral-Domain Solution for the Scattering Problem of a Circular Cylinder Buried in a Dielectric Half-Space
By
, Vol. 38, 223-252, 2002
Abstract
A spectral-domain solution is employed to completely characterize the two-dimensional electromagnetic plane-wave scattering problem by a perfectly conducting circular cylinder buried in a dielectric half-space. Use is made of the plane-wave spectrum to consider the diffraction, reflection and transmission of cylindrical waves. Suitable adaptive integration techniques are employed to numerically solve the spectral integrals. The method is valid for any value of the cylinder radius, and of the distance between the cylinder and the interface. Numerical results are presented for both near- and far-field cases and for both TM and TE polarizations, and a comparison with other results in the literature is discussed.
Citation
Fabrizio Frezza, Lara Pajewski, and Giuseppe Schettini, "A Spectral-Domain Solution for the Scattering Problem of a Circular Cylinder Buried in a Dielectric Half-Space," , Vol. 38, 223-252, 2002.
doi:10.2528/PIER02042604
References

1. Howard, A. Q., "The electromagnetic fields of a subterranean cylindrical inhomogeneity excited by a line source," Geophys., Vol. 37, 975-984, Dec. 1972.
doi:10.1190/1.1440320

2. Lambert, M., "The scattering by a cylindrical dielectric obstacle buried in a half-space: a H-field-based solution method," J. of Electromagnetic Waves and Appl., Vol. 9, 1129-1262, Sept. 1998.

3. Parry, J. R. and S. H. Ward, "Electromagnetic scattering from cylinders of arbitrary cross-section in a conductive half-space," Geophys., Vol. 36, 67-100, Feb. 1971.
doi:10.1190/1.1440165

4. Moaveni, M. K., A. A. Rizvi, and B. A. Kamran, "Planewave scattering by gratings of conducting cylinders in an inhomogeneous and lossy dielectric," J. Opt. Soc. Am. A, Vol. 5, 834-842, 1988.
doi:10.1364/JOSAA.5.000834

5. Ogunade, S. O., "Electromagnetic response of an embedded cylinder for line current excitation," Geophys., Vol. 46, 45-52, Jan. 1981.
doi:10.1190/1.1441138

6. D’Yakonov, B. P., "The diffraction of electromagnetic waves by a circular cylinder in a homogeneous half-space," Bull. Acad. Sci. U.S.S.R., Geophysics, No. 9, 950-955, 1959.

7. Mahmoud, S. F., S. M. Ali, and J. R. Wait, "Electromagnetic scattering from a buried cylindrical inhomogeneity inside a lossy earth," Radio Sci., Vol. 16, No. 6, 1285-1298, 1981.
doi:10.1029/RS016i006p01285

8. Butler, C. M., X. B. Xu, and A. W. Glisson, "Current induced on a conducting cylinder located near the planar interface between two semi-infinite half-spaces," IEEE Trans. Antennas Propagat., Vol. 33, 616-624, June 1985.
doi:10.1109/TAP.1985.1143648

9. Hongo, K. and A. Hamamura, "Asymptotic solutions for the scattered field of plane wave by a cylindrical obstacle buried in a dielectric half-space ," IEEE Trans. Antennas Propagat., Vol. 34, 1306-1312, Nov. 1986.

10. Sneddon, I. N., Mixed Boundary Value Problems in Potential Theory, North-Holland, Amsterdam, 1966.

11. Naqvi, Q. A., A. A. Rizvi, and Z. Yaqoob, "Asymptotic solutions for the scattered fields of plane wave by a cylindrical obstacle buried in a dielectric half-space," IEEE Trans. Antennas Propagat., Vol. 48, 846-848, May 2000.
doi:10.1109/TAP.2000.855508

12. Cincotti, G., F. Gori, M. Santarsiero, F. Frezza, F. Furno, and G. Schettini, "Plane wave expansion of cylindrical functions," Opt. Commun., Vol. 95, 192-198, Jan. 1993.
doi:10.1016/0030-4018(93)90661-N

13. Borghi, R., F. Frezza, F. Gori, M. Santarsiero, and G. Schettini, "Plane wave scattering by a perfectly conducting cylinder near a plane surface: cylindrical wave approach," J. Opt. Soc. Am. A, Vol. 13, 483-493, March 1996.
doi:10.1364/JOSAA.13.000483

14. Borghi, R., F. Frezza, C. Santini, M. Santarsiero, and G. Schettini, "Numerical study of the reflection of cylindrical waves of arbitrary order by a generic planar interface," J. of Electromagnetic Waves and Appl., Vol. 13, 27-50, Jan. 1999.
doi:10.1163/156939399X01591

15. Borghi, R., F. Frezza, C. Santini, M. Santarsiero, and G. Schettini, "A quadrature algorithm for the evaluation of a 2D radiation integral with highly oscillating kernel," J. of Electromagnetic Waves and Appl., Vol. 14, 1353-1370, Oct. 2000.

16. Daniels, D. J., Surface-Penetrating Radar, IEE, London, 1996.

17. Gurel, L. and U. Oguz, "Three-dimensional FDTD modeling of a ground-penetrating radar," IEEE Trans. Geosci. and Remote Sensing, Vol. 38, 1513-1521, July 2000.

18. Abramowitz, M. and A. Stegun, Handbook of Mathematical Functions, Dover Pub. Inc., New York, 1972.

19. Ragheb, H. A. and M. Hamid, "Scattering by N parallel conducting circular cylinders," Int. J. Electron., Vol. 59, 407-421, 1985.
doi:10.1080/00207218508920712

20. Elsherbeni, A. Z., "A comparative study of two-dimensional multiple scattering techniques," Radio Sci., Vol. 29, 1023-1033, 1994.
doi:10.1029/94RS00327

21. Blakemore, M., G. A. Evans, and J. Hysop, "Comparison of some methods for evaluating infinite range oscillatory integrals," J. Comput. Phys., Vol. 22, 352-376, 1976.
doi:10.1016/0021-9991(76)90054-1

22. Bowman, J. J., T. B. Senior, and P. L. E. Uslenghi, Electromagnetic and Acoustic Scattering by Simple Shapes, Hemisphere, New York, 1970.

23. Balanis, C. A., Advanced Engineering Electromagnetics, Ch. 11, John Wiley & Sons, New York, 1989.

24. Vitebskiy, S., K. Sturgess, and L. Carin, "Short-pulse planewave scattering from buried perfectly conducting bodies of revolution," IEEE Trans. Antennas Propagat., Vol. 44, 143-151, Feb. 1996.
doi:10.1109/8.481640

25. Ragheb, H. A. and M. Hamid, "Simulation of a cylindrical reflector by conducting circular cylinders," IEEE Trans. Antennas Propagat., Vol. 35, 349-353, Mar. 1987.
doi:10.1109/TAP.1987.1144096

26. Elsherbeni, A. Z. and A. A. Kishk, "Modeling of cylindrical objects by circular dielectric and conducting cylinders," IEEE Trans. Antennas Propagat., Vol. 40, 96-99, Jan. 1992.
doi:10.1109/8.123363

27. Borghi, R., M. Santarsiero, F. Frezza, and G. Schettini, "Planewave scattering by a dielectric circular cylinder parallel to a general reflecting flat surface," J. Opt. Soc. Am. A, Vol. 14, 1500-1504, 1997.
doi:10.1364/JOSAA.14.001500