Ahmed I, Chen Z Z. 2004. A hybrid ADI-FDTD subgridding scheme for efficient electromagnetic computation. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 17(3): 237-249.
Bano M. 2004. Modelling of GPR waves for lossy media obeying a complex power law of frequency for dielectric permittivity. Geophysical Prospecting, 52(1): 11-26.
Cassidy N J, Millington T M. 2009. The application of finite-difference time-domain modelling for the assessment of GPR in magnetically lossy materials. Journal of Applied Geophysics, 67(4): 296-308.
Chevalier M W, Luebbers R L, Cable V P. 1997. FDTD local grid with material traverse. IEEE Transactions on Antennas and Propagation, 45(3): 411-421.
Di Q Y, Wang M Y. 1999. 2D finite element modeling for radar wave. Chinese J. Geophys. (in Chinese), 42(6): 818-825.
Diamanti N, Giannopoulos A. 2009. Implementation of ADI-FDTD subgrids in ground penetrating radar FDTD models. Journal of Applied Geophysics, 67(4): 309-317.
Diamanti N. 2008. An efficient Ground Penetrating Radar finite-Difference time-Domain Subgridding Scheme and Its Application to the Non-descructive Testing of Masonry arch Bridges. Edinburgh : The University of Edinburgh.
Falk J, Tessmer E, Gajewski D. 1998. Efficient finite-difference modelling of seismic waves using locally adjustable time steps. Geophysical Prospecting, 46(6): 603-616.
Fang G Y, Zhang Z Z, Wang W B. 1996. Numerical simulation of time-domain EM scattering by shallow subsurface objects. Journal of Electronics and Information Technology (in Chinese), 18(3): 276-282.
Fang H Y, Lin G. 2012. Symplectic partitioned Runge-Kutta methods for two-dimensional numerical model of ground penetrating radar. Computers & Geosciences, 49: 323-329.
Fang H Y, Lin G. 2013. Simulation of GPR wave propagation in complicated geoelectric model using symplectic method. Chinese J. Geophys. (in Chinese), 56(2): 653-659.
Feng D S, Chen C S, Dai Q W. 2010. GPR numerical simulation of full wave field based on UPML boundary condition of ADI-FDTD. Chinese J. Geophys. (in Chinese), 53(10): 2484-2496.
Feng D S, Chen C S, Wang H H. 2012. Finite element method GPR forward simulation based on mixed boundary condition. Chinese J. Geophys. (in Chinese), 55(11): 3774-3785.
Feng D S, Dai Q W, Weng J B. 2007. Application of multi-resolution time domain method in three dimensions forward simulation of ground penetrating radar. Journal of Central South University: Science and Technology (in Chinese), 38(5): 975-980.
Feng D S, Wang H H, Dai Q W. 2013. Forward simulation of Ground Penetrating Radar based on the element-free Galerkin method. Chinese J. Geophys. (in Chinese), 56(1): 298-308.
Feng X, Zou L L, Liu C, et al. 2011. Forward modeling for full polarimetric ground penetrating radar. Chinese J. Geophys. (in Chinese), 54(2): 349-357.
Ge D B, Yan Y B. 2005. Finite-Difference Time-Domain Method for Electromagetic Waves (2nd ed). (in Chinese). Xi'an: Xidian University Press.
Giannopoulos A. 2005. Modelling ground penetrating radar by GprMax. Construction and Building Materials, 19(10): 755-762.
Huang C, Dong L G. 2009. High-order finite-difference method in seismic wave simulation with variable grids and local time-steps. Chinese J. Geophys. (in Chinese), 52(1): 176-186.
Huang C, Dong L G. 2009. Staggered-grid high-order finite-difference method in elastic wave simulation with variable grids and local time steps. Chinese J. Geophys. (in Chinese), 52(11): 2870-2878.
Irving J, Knight R. 2006. Numerical modeling of ground-penetrating radar in 2-D using MATLAB. Computers & Geosciences, 32(9): 1247-1258.
Li J, Zeng Z F, Huang L, Liu F S. 2012. GPR simulation based on complex frequency shifted recursive integration PML boundary of 3D high order FDTD. Computers & Geosciences, 49: 121-130.
Li J, Zeng Z F, Wu F S, et al. 2010. Study of three dimension high-order FDTD simulation for GPR. Chinese J. Geophys (in Chinese), 53(4): 974-981.
Li Q W. 2008. The Propagation of GPR Pulse in the Lossy, Dispersive, and Inhomogeneous Earth Medium (in Chinese). Chengdu: Chengdu University of Technology.
Li Z H, Huang Q H, Wang Y B. 2009. A 3-D staggered grid PSTD method for borehole radar simulations in dispersive media. Chinese J. Geophys. (in Chinese), 52(7): 1915-1922.
Liu S B, Liu S, Hong W. 2010. Dispersive medium FDTD method (in Chinese). Beijing: Science Press.
Liu S X, Zeng Z F. 2007. Numerical simulation for Ground Penetrating Radar wave propagation in the dispersive medium. Chinese J. Geophys. (in Chinese), 50(1): 320-326.
Lu T, Cai W, Zhang P W. 2005. Discontinuous galerkin time-domain method for GPR simulation in dispersive media. IEEE Transactions on Geoscience and Remote Sensing, 43(1): 72-80.
Luebbers R J, Hunsberger F P, Kunz K S, et al. 1990. A frequency-dependent finite-difference time-domain formulation for dispersive materials. IEEE Trans. Electromagn. Compat., 32(3): 222-227.
Luebbers R J, Hunsberger F P, Kunz K S. 1991. A frequency-dependent finite-difference time-domain formulation for transient propagation in plasma. IEEE Trans. Antennas Propagat, 39(1): 29-34.
Moczo P. 1989. Finite-difference technique for SH-waves in 2-D media using irregular grids-application to the seismic response problem. Geophysical Journal International, 99(2): 321-329.
Namiki T. 1999. A new FDTD algorithm based on alternating-direction implicit method. IEEE Transactions on Microwave Theory and Techniques, 47(10): 2003-2007.
Shen B. 1994. A study on wave eguation theory for ground——penetrating radar and forward mooelling. Computing Techniques for Geophysical and Geochemical Exploration (in Chinese), 16(1): 29-33.
Teixeira F L. 2008. Time-domain finite-difference and finite-element methods for Maxwell equations in complex media. IEEE Transactions on Antennas and Propagation, 56(8): 2150-2166.
Tessmer E. 2000. Seismic finite-difference modeling with spatially varying time steps. Geophysics, 65(4): 1290-1293.
Tian G, Lin J X, Wang B B, et al. 2011. Simulation and analysis reflections interference from above surface objects of ground penetrating radar. Chinese J. Geophys. (in Chinese), 54(10): 2639-2651.
Wang B Z, Wang Y J, Yu W H, et al. 2001. A hybrid 2-D ADI-FDTD subgridding scheme for modeling on-chip interconnects. IEEE Transactions on Advanced Packaging, 24(4): 528-533.
Yee K S. 1966. Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Transactions on Antennas and Propagation, 14(3): 302-307.
Zeng Z F, Liu S X, Feng X. 2010. Theory and application of Ground Penetrating Radar (in Chinese). Beijing: Electronic Industry Press.
Zhang H, Li Z C. 2011. Forward modeling of carbonate fracture reservoir based on time-space dual variable grid algorithm. Journal of China University of Petroleum: Edition of Natural Science (in Chinese), 35(3): 51-57.
Zheng K S. 2005. Study of FDTD Parallel Computing and ADI-FDTD Method (in Chinese). Xi'an: Institute of Science, Xidian University.
Zivanovic S S, Yee K S, Mei K K. 1991. A subgridding method for the time-domain finite-difference method to solve Maxwell's equations. IEEE Transactions on Microwave Theory and Techniques, 39(3): 471-479.