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Discontinuous galerkin time-domain method for GPR simulation in dispersive media

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3 Author(s)
Tiao Lu ; Sch. of Math. Sci., Peking Univ., China ; Wei Cai ; Pingwen Zhang

This paper presents a newly developed high-order discontinuous Galerkin time-domain (DGTD) method for solving Maxwell's equations in linear dispersive media with UPML boundary treatment. A unified formulation is derived for linear dispersive media of Debye type and the artificial material in the UPML regions with the help of auxiliary differential equations. The DGTD employs finite-element-type meshes, and uses piecewise high-order polynomials for spatial discretization and Runge-Kutta method for time integrations. Arbitrary high-order accuracy can be obtained for scattering of various objects in dispersive media. After validating the numerical convergence of the DGTD method together with the second-order Yee's scheme, we apply this new method to the ground-penetrating radar for the detection of buried objects in a lossy half space.

Published in:

IEEE Transactions on Geoscience and Remote Sensing  (Volume:43 ,  Issue: 1 )