Study of three dimension high-order FDTD simulation for GPR

Acta Geophysica Sinica

Volumn 53, Issue 4, 2010, Pages 974-981

  Li, Jing ^a   Zeng, Zhao Fa ^a   Wu, Feng Shou ^a   Huang, Ling ^a  

^a JILIN UNIVERSITY   (China)

Author keywords

Ground penetrating radar (GPR); High order finite difference time domain (HOFDTD); Numerical simulation; Uniaxial perfectly matched layer (UPML)

Indexed keywords

ANISOTROPY; DATA INTERPRETATION; ELECTROMAGNETIC WAVE; GROUND PENETRATING RADAR; NUMERICAL MODEL;

EID: 78650075197     PISSN: 00015733     EISSN: None     Source Type: Journal    
DOI: 10.3969/j.issn.0001-5733.2010.04.022     Document Type: Article

References (36)

1. Kowalsky M B, Dietrich P, Teutsch G, et al. Forward modeling of ground-penetrating radar data using digitized outcrop images and multiple scenarios of water saturation. Water Resources Research , 2001, 37(6) :1615-1625
2. Zeng Z F, Liu S X, Wang Z J, et al. Method Principle and Application of GPR (in Chinese). Beijing, Science Press, 2006. 207-238
3. Harrington R F, Mautz J R. Theory of characteristic modes for conducting bodies. IEEE. Trans, on AP, 1971, 19(6), 622-628
4. Ding Q Y, Wang M Y. 2D finite modeling for radar wave. Chinese J. Geophys. (in Chinese), 1999, 42(6), 818-825
5. Yee K S. Numerical solution of initial boundary value problems involving Maxwell's equation in isotropic media. IEEE. Trans. AP, 1966, 14(5): 302-307
6. Wang Tsili, Alan C Tripp. FDTD simulation of EM wave propagation in 3-D media. Geophysics, 1996, 61(1) , 110-120
7. Wang Tsili, Alan C Tripp. A finite-difference time domain solution for three-dimensional electromagnetic modeling. Geophysics, 1993, 58(6): 797-809
8. Moghaddam M, Chew W C. Stabilizing Liao absorbing boundary conditions using single-precision arithmetic. IEEE. AP-S, 1991, 1: 430-433
9. Levent Gurel. Three-dimensional FDTD modeling of a ground-penetrating radar. IEEE. Transactions on Geoscience and Remote Sensing, 2000, 38(4): 1513-1522
10. Irving James, Rosemary Knight. Numerical modeling of ground-penetrating radar in 2-D using MATLAB computers. Geosciences, 2006, 32: 1247-1258
11. Zhan H, Belli S K. Effectiveness of 2D FDTD ground pentrating radar modeling for bridge deck deterioration evaluated by 3D FDTD. IEEE. Geoscience and Remote Sensing Symposium (IGARSS), 2008. 1330-1334
12. Wang J, Peng Z Q, Xie C F. Numerical simulation of transient scatiering by underground target with FDTD method. Chinese J. Geophys. (Acta Geophysica Sinica) (in Chinese), 1996, 39(1): 349-357
13. Feng D S, Dai Q W, He J S, et al. Finite difference time domain method of GPR forward simulation. Chinese J. Progress in Geophysics (in Chinese), 2006, 21(2):630-636
14. Xue G X, Wang P. The application of the FDTD method to GPR simulation. Chinese J. Geophysical & Geochemical Exploration (in Chinese) , 2006, 30(3): 234-239
15. Liu S X, Zeng Z F. Numerical simulation for ground penetrating Radar wave propagation in the dispersive medium. Chinese J. Geophys. (in Chinese) , 2007, 50(1): 320-326
16. Wang Z L,Zhou H, Li G F. Inversion of ground-penetrating radar data for 2D electric parameters. Chinese J. Geophys. (in Chinese), 2007, 50(3), 897-904
17. Jose M Carcione. Radiation patterns for 2-D GPR forward modeling. Geophysics, 1998, 63(2): 424-430
18. Lan Kang, Liu Yaowu, Lin Weigan. A higher order (2, 4) scheme for reducing dispersion in FDTD algorithm. IEEE. Trans on EMC, 1999, 41: 160-165
19. Wang J Y, Zhao C Q, Chen B Y. An implementation method of FDTD (2M, 2N). Chinese J. Chengdu University of Information Technology (in Chinese) , 2006, 21(4): 559-562
20. Fang J. Time domain finite difference computation for Maxwell's equations [Ph. D. thesis]. CA: University of California at Berkeley, 1989
21. Jeffrey L Young. A higher order FDTD method for EM propagation in a collisionnless cold plasma. IEEE. Transactions on Antennas and Propagation, 1996, 44(9) : 1283-1290
22. Lan Kang, Liu Yao-wu. A Higher Order (2,4) Scheme for reducing dispersion in FDTD algorithm. IEEE Transactions on Electromagnetic Compatibility, 1999, 41(2) : 160-166
23. Georgakopoulos Stavros V, Birtcher Craig R, et al. Higherorder finite difference schemes for electromagnetic radiation scattering and penetration. IEEE. Antenna's and Propagation Magazine, 2002, 44 : 134-142
24. Sun Shu-hai, Charles T. A new subgridding scheme for FDTD(2,2) and FDTD(2,4) methods. IEEE. Transactions onmagnetics. 2004, 40: 1041-1045
25. Wu F S, Zeng Z F, Huang L. Using higher-order FDTD for ground penetrating Radar response simulation. Chinese J. Computing Techniques for Geophysical and Geochemical Exploration (in Chinese), 2009, 31(4):308-313
26. Nader Farahat, Sergey Yuferev. High order surface impedance boundary conditionsfor the FDTD method. IEEE. Transactions on Magnetics, 2001, 37(5): 3242-3247
27. Hadi M F, Piket-May M. Amodified FDTD(2,4) scheme for modeling electrieally large structures with high-phase aceuraey. IEEE. Trans. Antennas Propagat. , 1997,45(2): 254-264
28. Theodoros T, Zygiridis, Theodoras D. Tsiboukis. Lowdispersion algorithms basedonthe higher order (2, 4) FDTD method. IEEE. Trans. Microwa Veand Techniques., 2004, 52(4): 1321-1327
29. Hany E Abd EI-Raouf, Esam A EI-Diwani, Abd El-Hadi Ammar, et al. Alow- dispersion 3-D second-order in time fourth-order in spaee FDTD seheme (M3d-(24)). IEEE. Trans. Antennas Propagat. , 2004, 52(7): 1638-1645
30. Theodoras T, Zygiridis, Theodoros D. Tsiboukis. A. Dispersion-reduetion scheme for the higher order FDTD (2, 4) method. IEEE. Trans. Magnetics. , 2004, 40(2): 1464-1467
31. Panayiotis A. Tirkas. Higher order absorbing boundary conditionsfor the finite difference time domain method. IEEE. Transactions on Antennas and Propagation, 1992, 40 (10): 1215-1223
32. Gedney S D. An anisotropic perfectly matched layerabsorbing medium for the truncation of FDTD lattices. IEEE. Trans. Antennas Propagat. ,1996, 44(12): 1630-1639
33. Gedney S D. An anisotropic PML absorbing media for the FDTD simulation of fields in lossy and dispersive media. Electromagnetics, 1996,16(4): 399-415
34. Sacks Z S, Kingsland D M, Lee J F. A perfectly matched anisotropic absorber for use as an absorbing boundary condition. IEEE. Trans. Antennas Propagat. , 1995, 43 (12): 1460-1463
35. Francis H. Drossaert, Antonios Giannopoulos. A nonsplit complex frequency-shifted PML based on recursive integration for FDTD modeling of elastic waves. Geophysics, 2007, 72(2): 9-17
36. Hastings F D, Schneider J B, Broschat S L. Application of the perfectly matched layer (PML) absorbing boundary condition to elastic wave propagation. Journal Acoustical Society of America , 1996, 100(5): 3061-3069