Title :
Discontinuous galerkin time-domain method for GPR simulation in dispersive media
Author :
Lu, Tiao ; Cai, Wei ; Zhang, Pingwen
Author_Institution :
Sch. of Math. Sci., Peking Univ., China
Abstract :
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.
Keywords :
Galerkin method; Maxwell equations; Runge-Kutta methods; buried object detection; convergence of numerical methods; differential equations; dispersive media; ground penetrating radar; piecewise polynomial techniques; remote sensing by radar; time-domain analysis; Debye type media; GPR simulation; Maxwell equations; Runge-Kutta method; UPML boundary treatment; buried object detection; differential equations; finite-element-type meshes; ground-penetrating radar; high-order discontinuous Galerkin time-domain method; linear dispersive media; lossy half space; numerical convergence; object scattering; perfectly matched layer; piecewise high-order polynomials; second-order Yee scheme; spatial discretization; time integrations; unified formulation; Buried object detection; Differential equations; Dispersion; Finite element methods; Ground penetrating radar; Maxwell equations; Moment methods; Polynomials; Radar scattering; Time domain analysis;
Journal_Title :
Geoscience and Remote Sensing, IEEE Transactions on
DOI :
10.1109/TGRS.2004.838350
