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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 31, Iss. 1 — Jan. 1, 2014
  • pp: 26–34

Electromagnetic scattering by a circular cylinder buried below a slightly rough Gaussian surface

Muhammad Arshad Fiaz, Fabrizio Frezza, Cristina Ponti, and Giuseppe Schettini  »View Author Affiliations


JOSA A, Vol. 31, Issue 1, pp. 26-34 (2014)
http://dx.doi.org/10.1364/JOSAA.31.000026


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Abstract

A two-dimensional beam is scattered by a cylinder buried below a slightly rough surface. The cylindrical wave approach is applied, i.e., cylindrical waves are employed as basis functions of the fields scattered by the cylinder. Moreover, a spectral representation of both the incident field and the cylindrical waves is used. Rough surface deviation is coped with by the first-order small perturbation method. Therefore, to a zeroth-order solution relevant to scattering in the case of a flat surface, a first-order approximation is superimposed. The theoretical approach has been implemented for a periodic surface with Gaussian roughness spectrum.

© 2013 Optical Society of America

OCIS Codes
(290.0290) Scattering : Scattering
(290.5880) Scattering : Scattering, rough surfaces
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(290.5825) Scattering : Scattering theory

ToC Category:
Scattering

History
Original Manuscript: September 5, 2013
Revised Manuscript: November 1, 2013
Manuscript Accepted: November 2, 2013
Published: December 4, 2013

Citation
Muhammad Arshad Fiaz, Fabrizio Frezza, Cristina Ponti, and Giuseppe Schettini, "Electromagnetic scattering by a circular cylinder buried below a slightly rough Gaussian surface," J. Opt. Soc. Am. A 31, 26-34 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-1-26


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References

  1. D. J. Daniels, Ground Penetrating Radar, 2nd ed. (IET, 2004).
  2. B. P. D’Yakonov, “The diffraction of electromagnetic waves by a circular cylinder in a homogeneous half-space,” Atmos. Oceanic Phys.950–955 (1959).
  3. A. Q. Howard, “The electromagnetic fields of a subterranean cylindrical inhomogeneity excited by a line source,” Geophysics 37, 975–984 (1972). [CrossRef]
  4. S. O. Ogunade, “Electromagnetic response of an embedded cylinder for line current excitation,” Geophysics 46, 45–52 (1981). [CrossRef]
  5. S. F. Mahmoud, S. M. Ali, and J. R. Wait, “Electromagnetic scattering from a buried cylindrical inhomogeneity inside a lossy earth,” Radio Sci. 16, 1285–1298 (1981). [CrossRef]
  6. C. M. Butler, 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 Propag. 33, 616–624 (1985). [CrossRef]
  7. K. Hongo 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 Propag. 34, 1306–1312 (1986). [CrossRef]
  8. M. Di Vico, F. Frezza, L. Pajewski, and G. Schettini, “Scattering by buried dielectric cylindrical structures,” Radio Sci. 40, RS6S18 (2005). [CrossRef]
  9. S. Ahmed and Q. A. Naqvi, “Electromagnetic scattering from a perfect electromagnetic conductor cylinder buried in a dielectric half-space,” Prog. Electromagn. Res. 78, 25–38 (2008). [CrossRef]
  10. F. Frezza, L. Pajewski, C. Ponti, and G. Schettini, “Line source scattering by buried perfectly conducting circular cylinders,” Int. J. Antennas Propag. 2012, 1–7 (2012). [CrossRef]
  11. L. Tsang, J. A. Kong, and K.-H. Ding, Scattering of Electromagnetic Waves: Theories and Applications (Wiley, 2001).
  12. S. O. Rice, “Reflection of electromagnetic waves by slightly rough surfaces,” Commun. Pure Appl. Math. 4, 351–378 (1951). [CrossRef]
  13. F. G. Bass and I. M. Fuks, Wave Scattering from Statistically Rough Surfaces (Pergamon, 1979).
  14. M. F. Chen and A. K. Fung, “A numerical study of the regions of validity of the Kirchhoff and small-perturbation rough surface scattering models,” Radio Sci. 23, 163–170 (1988). [CrossRef]
  15. R. E. Collin, “Electromagnetic scattering from perfectly conducting rough surface (A new full-wave method),” IEEE Trans. Antennas Propag. 40, 1466–1477 (1992). [CrossRef]
  16. E. I. Thorsos, “The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum,” J. Acoust. Soc. Am. 83, 78–92 (1988). [CrossRef]
  17. P. G. Cottis and J. D. Kanellopoulos, “Scattering of electromagnetic waves from cylindrical inhomogeneities embedded inside a lossy medium with a sinusoidal surface,” J. Electromagn. Waves. Appl. 6, 445–458 (1992). [CrossRef]
  18. K. Watanabe and K. Yasumoto, “Formulation of electromagnetic scattering from cylinder located near periodic surface,” in Proceedings of URSI International Symposium Electromagnetic Theory, Berlin, August16–19, 2010, pp. 660–663.
  19. Y. Altuncu, A. Yapar, and I. Akduman, “On the scattering of electromagnetic waves by bodies buried in a half-space with locally rough interface,” IEEE Trans. Geosci. Remote Sens. 44, 1435–1443 (2006). [CrossRef]
  20. K. O’Neill, R. F. Lussky, and K. D. Paulsen, “Scattering from a metallic object embedded near the randomly rough surface of a lossy dielectric,” IEEE Trans. Geosci. Remote Sens. 34, 367–376 (1996). [CrossRef]
  21. M. El-Shenawee and K. Rappaport, “Electromagnetic scattering interference between two shallow objects buried under 2-D random rough surfaces,” IEEE Microw. Wirel. Compon. Lett. 13, 223–225 (2003). [CrossRef]
  22. D. E. Lawrence and K. Sarabandi, “Electromagnetic scattering from a dielectric cylinder buried beneath a slightly rough surface,” IEEE Trans. Antennas Propag. 50, 1368–1376 (2002). [CrossRef]
  23. C.-H. Kuo and M. Moghaddam, “Electromagnetic scattering from a buried cylinder in layered media with rough interfaces,” IEEE Trans. Antennas Propag. 54, 2392–2401 (2006). [CrossRef]
  24. Z.-X. Li, “Bistatic scattering from rough dielectric soil surface with a conducting object partially buried by using the gfbm/saa method,” IEEE Trans. Antennas Propag. 54, 2072–2080 (2006). [CrossRef]
  25. J. T. Johson and R. J. Burkholder, “A study of scattering from an object below a rough surface,” IEEE Trans. Geosci. Remote Sens. 42, 59–66 (2004). [CrossRef]
  26. C. Bourlier, G. Kubick, and N. Pinel, “PILE method combined with PO for the scattering by coated cylinders, a rough layer and an object below a rough surface,” J. Opt. Soc. Am. A 30, 1727–1737 (2013). [CrossRef]
  27. C. Bourlier, N. Pinel, and G. Kubick, Method of Moments for 2D Scattering Problems. Basic Concepts and Applications (Wiley-ISTE, 2013).
  28. M. A. Fiaz, F. Frezza, L. Pajewski, C. Ponti, and G. Schettini, “Scattering by a circular cylinder buried under a slightly rough surface: the cylindrical-wave approach,” IEEE Trans. Antennas Propag. 60, 2834–2842 (2012). [CrossRef]
  29. M. A. Fiaz, F. Frezza, L. Pajewski, C. Ponti, and G. Schettini, “Asymptotic solution for a scattered field by cylindrical objects buried beneath a slightly rough surface,” Near Surf. Geophys. 11, 177–183 (2013).
  30. F. Frezza, L. Pajewski, C. Ponti, G. Schettini, and N. Tedeschi, “Electromagnetic scattering by a metallic cylinder buried in a lossy medium with the cylindrical wave approach,” Geosci. Remote Sens. Lett. 10, 179–183 (2013).
  31. F. Frezza, L. Pajewski, C. Ponti, G. Schettini, and N. Tedeschi, “Cylindrical-wave approach for electromagnetic scattering by subsurface metallic targets in a lossy medium,” J. Appl. Geophys. 97, 55–59 (2013). [CrossRef]
  32. F. Frezza, L. Pajewski, C. Ponti, and G. Schettini, “Scattering by dielectric circular cylinders in a dielectric slab,” J. Opt. Soc. Am. A 27, 687–695 (2010). [CrossRef]
  33. R. Borghi, F. Frezza, P. Oliverio, M. Santarsiero, and G. Schettini, “Scattering of a generic two-dimensional field by cylindrical structures in the presence of a plane interface,” Int. J. Infrared Millim. Waves 21, 805–827 (2000). [CrossRef]
  34. A. Papoulis, Probability, Random Variables, and Stochastic Processes (McGraw-Hill, 1984).
  35. A. Z. Elsherbeni, “A comparative study of two-dimensional multiple scattering techniques,” Radio Sci. 29, 1023–1033 (1994). [CrossRef]
  36. F. Frezza, L. Pajewski, C. Ponti, and G. Schettini, “Accurate wire-grid modelling of buried conducting cylindrical scatterers,” Nondestr. Test. Eval. 27, 199–207 (2012), Special issue on Civil Engineering Applications of Ground Penetrating Radar. [CrossRef]

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