Journal ArticleDOI
Finite-difference time-domain simulation of ground penetrating radar on dispersive, inhomogeneous, and conductive soils
TLDR
A three-dimensional (3D) time-domain numerical scheme for simulation of ground penetrating radar (GPR) on dispersive and inhomogeneous soils with conductive loss is described, and an almost linear speedup is observed.Abstract:
A three-dimensional (3D) time-domain numerical scheme for simulation of ground penetrating radar (GPR) on dispersive and inhomogeneous soils with conductive loss is described. The finite-difference time-domain (FDTD) method is used to discretize the partial differential equations for time stepping of the electromagnetic fields. The soil dispersion is modeled by multiterm Lorentz and/or Debye models and incorporated into the FDTD scheme by using the piecewise-linear recursive convolution (PLRC) technique. The dispersive soil parameters are obtained by fitting the model to reported experimental data. The perfectly matched layer (PML) is extended to match dispersive media and used as an absorbing boundary condition to simulate an open space. Examples are given to verify the numerical solution and demonstrate its applications. The 3D PML-PLRC-FDTD formulation facilitates the parallelization of the code. A version of the code is written for a 32-processor system, and an almost linear speedup is observed.read more
Citations
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Journal ArticleDOI
Improved analytical fit of gold dispersion: Application to the modeling of extinction spectra with a finite-difference time-domain method
Alexandre Vial,Anne-Sophie Grimault,Demetrio Macías,Dominique Barchiesi,Marc Lamy de la Chapelle +4 more
TL;DR: In this article, an accurate description for the dispersion of gold in the range of 1.24 -2.48 eV was proposed and implemented in an FDTD algorithm and evaluated its efficiency by comparison with an analytical method.
Journal ArticleDOI
gprMax: Open source software to simulate electromagnetic wave propagation for Ground Penetrating Radar
TL;DR: gprMax is open source software that simulates electromagnetic wave propagation, using the Finite-Difference Time-Domain (FDTD) method, for the numerical modelling of Ground Penetrating Radar (GPR).
Journal ArticleDOI
Modeling of ground-penetrating Radar for accurate characterization of subsurface electric properties
TL;DR: An improved approach to inverse modeling of ground-penetrating radar signals using a stepped-frequency continuous-wave radar combined with an off-ground monostatic transverse electromagnetic horn antenna, which shows remarkable agreement between the measured and modeled Green's functions.
Journal ArticleDOI
Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media
TL;DR: Extensions of finite-difference time domain (FDTD) and finite-element time-domain (FETD) algorithms are reviewed for solving transient Maxwell equations in complex media in this article.
Journal ArticleDOI
Numerical modeling of ground-penetrating radar in 2-D using MATLAB
James Irving,Rosemary Knight +1 more
TL;DR: Although the codes are two-dimensional and do not incorporate features such as dispersion in electrical properties, they capture many of the important elements of GPR surveying and run at a fraction of the computational cost of more elaborate algorithms.
References
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Journal ArticleDOI
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
Abstract: Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable for a boundary condition involving perfectly conducting surfaces. An example is given of the scattering of an electromagnetic pulse by a perfectly conducting cylinder.
Journal ArticleDOI
A perfectly matched layer for the absorption of electromagnetic waves
TL;DR: Numerical experiments and numerical comparisons show that the PML technique works better than the others in all cases; using it allows to obtain a higher accuracy in some problems and a release of computational requirements in some others.
Journal ArticleDOI
On the use of windows for harmonic analysis with the discrete Fourier transform
TL;DR: A comprehensive catalog of data windows along with their significant performance parameters from which the different windows can be compared is included, and an example demonstrates the use and value of windows to resolve closely spaced harmonic signals characterized by large differences in amplitude.
Book
Waves and Fields in Inhomogeneous Media
TL;DR: Inverse scattering problems in planar and spherically layered media have been studied in this article, where Dyadic Green's functions have been applied to the mode matching method to solve the problem.
Journal ArticleDOI
Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations
TL;DR: In this paper, highly absorbing boundary conditions for two-dimensional time-domain electromagnetic field equations are presented for both two-and three-dimensional configurations and numerical results are given that clearly exhibit the accuracy and limits of applicability of these boundary conditions.