Journal of Applied Science and Engineering

Published by Tamkang University Press


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Xutao Liao  1,2, Tianqiu Hong1, Mingwu Yang3 and Dongjia Liu1

1School of Resources & Environmental Engineering, Hefei University of Technology, Hefei 230009, P.R. China
2Anhui Urban Construction Design Institute Co., Ltd., Hefei 230051, P.R. China
3School of Electronic Science & Applied Physics, Hefei University of Technology, Hefei 230009, P.R. China


Received: August 29, 2017
Accepted: December 3, 2018
Publication Date: June 1, 2019

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The electromagnetic scattering of dielectric cylinder buried in half space can be equivalent by an eccentric dielectric cylinder with long offset. Traditionally the numerical method is applied, while the analytic solution is deduced. Utilizing mode-matching method, the boundary conditions are transformed to a matrix equation. Solving the matrix equation, the problem is worked out. The physical meaning is clear. Numerical results show that this solution agrees with the literature method in concentric dielectric cylinder, and also agree with the FDTD method in eccentric dielectric cylinder. It is more accurate than the literature method. This solution can fast compute the electromagnetic scattering of eccentric dielectric cylinder as well as the dielectric cylinder buried in half space.

Keywords: Eccentric Dielectric Cylinder, Electromagnetic Scattering, Graf Addition Theorem, Ground Penetrating Radar (GPR)


  1. [1] Wang, L. Q. (1994) The present status and future developmentof the engineering geophysical exploration, Chinese Journal of Geophysics 37(S1), 385395. (In Chinese)
  2. [2] Li, X. J. (2011) Application and development of city geophysical prospecting in China, Progress in Geophysics 26(6), 22212231. (In Chinese)
  3. [3] Zhao, Y. H., X. Y. Xie, and C. Wang (2005) Study on ground penetrating radar image processing and interpretation system, Journal of Tongji University (Natural Science) 33(9), 12531258. (In Chinese)
  4. [4] Xie, X. Y., Y. S. Li, and X. C. Huang (2002) Application of ground penetrating radar to historical building strengthening, Journal of Tongji University 28(1), 19 23. (In Chinese)
  5. [5] Balanis, C. A. (2011) Advanced Engineering Electromagnetics, Second Edition, USA: John Wiley & Sons, Inc., 575678.
  6. [6] He, G. Y., C. C. Lu, J. C. Hong, et al. (2006) Calculation and Measurement of Electromagnetic Scattering, Beijing: Beijing University of Aeronautics and Astronautics Press, 5376. (In Chinese)
  7. [7] Harrington, R. F. (2001) Time-harmonic Electromagnetic Field, USA: John Wiley & Sons, Inc., 198263.
  8. [8] Wang, Y. P. (2007) Engineering Electrodynamics, Xi’an:XidianUniversityPress,260324. (In Chinese)
  9. [9] Li, K. (2009) The Electromagnetic Field in Stratified Media, HuangZhou: Zhejiang University Press.
  10. [10] Brock, B. C., and K. W. Sorensen (1994) Electromagnetic Scattering from Buried Objects, USA: Sandla National Laboratories.
  11. [11] Mushref, M. A. (2007) Closed solution to electromagnetic scattering of a plane wave by an eccentric cylinder coated with meta materials, Optics Communications 270(2), 441446. doi: 10.1016/j.optcom.2006. 09.064
  12. [12] Wang, N. (1985) Electromagnetic scattering from a dielectriccoatedcircularcylinder, IEEETransactions on Antennas and Progragtion 33(9), 960963. doi: 10. 1109/TAP.1985.1143696
  13. [13] Wang, H. L., Q. Wu, J. Wu, et al. (2007) Electromagnetic characteristics of dielectric cylinder covered lossless negative refraction metamaterial,Chinese Journal of Radio Science 22(6), 906912. (In Chinese)
  14. [14] Wang, H. L., Q. Wu, F. Y. Meng, et al. (2008) Investigation on the electromagnetic characteristics of lossy metamaterialcovered dielectric cylinder, Acta Physica Sinica 57(8), 48834890. (In Chinese)
  15. [15] Qing, A. Y., J. Li, and L. Ren (1998) Microwave imaging of dielectric cylinder in free space, Chinese Journal of Geophysics 41(1), 117123. (In Chinese)
  16. [16] Davis, C. A., V. W. Lee, and J. P. Bardet (2001) Transverse response of underground cavitiesand pipes to incident SV waves, Earthquake Engineering and Structural Dynamics 30, 383410. doi: 10.1002/eqe.14
  17. [17] Zhang, Y. J., Z. L. Gong, C. H. Xu (1999) Scattering of multilayered eccentric cylinder with multiple cylinders inside: microwave equivalent network approach, Acta Scientiarum Naturalium Universities Pekinensis 35(3), 383. (In Chinese)
  18. [18] Kishk, A. A., R. P. Parrikar, and A. Z. Elsherbeni (1992) Electromagnetic scattering from an eccentric multilayered circular cylinder, IEEE Trans Antenna Propagat 40(3), 295303. doi: 10.1109/8.135472
  19. [19] Liao,X. T., T.Q. Hong, D. J.Liu,etal.(2017) GPRdetection of nonmetallic piping blockage and numerical simulation, Journal of Hefei University of Technology 40(3), 396402. (In Chinese)
  20. [20] Liao, X. T., T. Q. Hong, and D. J. Liu (2016) The analysis of frequency shift of the nonmetallic pipeline’s GPR signal, 16th International Conference on Ground Penetrating Radar (GPR), 1316 June 2016, Hong Kong, China. doi: 10.1109/ICGPR.2016.7572704