An Efficient Scattered-Field Formulation for Objects in Layered Media Using the FVTD Method

A technique for efficiently simulating the scattering from objects in multilayered media is presented. The efficiency of the formulation comes from the fact that the sources for the scattered fields (SFs) only occur at the inhomogeneities and, therefore, the SFs impinging on the boundaries are more easily absorbed. To demonstrate the technique, a 1-D-finite-difference time-domain solution to the plane-wave propagation through a multilayered medium is used as an incident-field source for an SF formulation of the finite-volume time-domain method. Practical aspects of the application are discussed and numerical examples for scattering from canonical objects are presented to show the validity of the proposed technique. The simulation scheme described herein can be used for simulations of geophysical media with appropriate specifications of the dielectric properties of the media and the inhomogeneities.

[1]  K. Yee Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[2]  Christophe Geuzaine,et al.  Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities , 2009 .

[3]  Jian Zhang,et al.  Excitation of Plane Waves for FDTD Analysis of Anisotropic Layered Media , 2009, IEEE Antennas and Wireless Propagation Letters.

[4]  Werner Wiesbeck,et al.  Electromagnetic scattering by multiple three-dimensional scatterers buried under multilayered media. II. Numerical implementations and results , 1998, IEEE Trans. Geosci. Remote. Sens..

[5]  R. Vahldieck,et al.  Cell-centered finite-volume-based perfectly matched layer for time-domain Maxwell system , 2006, IEEE Transactions on Microwave Theory and Techniques.

[6]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[7]  K. Demarest,et al.  FDTD modeling of scatterers in stratified media , 1995 .

[8]  G.S. Smith,et al.  A Total-Field/Scattered-Field Plane-Wave Source for the FDTD Analysis of Layered Media , 2008, IEEE Transactions on Antennas and Propagation.

[9]  J. Remacle,et al.  Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities , 2009 .

[10]  M. Potter,et al.  FDTD Discrete Planewave (FDTD-DPW) Formulation for a Perfectly Matched Source in TFSF Simulations , 2010, IEEE Transactions on Antennas and Propagation.

[11]  X. Ferrieres,et al.  CHAPTER 9 – Finite-Volume Time Domain Method , 1999 .

[12]  Weng Cho Chew,et al.  Fast evaluation of Sommerfeld integrals for EM scattering and radiation by three-dimensional buried objects , 1999, IEEE Trans. Geosci. Remote. Sens..

[14]  Son V. Nghiem,et al.  Polarimetric signatures of sea ice. 1: Theoretical model , 1995 .

[15]  Joe LoVetri,et al.  High-Order FVTD on Unstructured Grids using an Object- Oriented Computational Engine , 2007 .

[16]  Magda El-Shenawee Polarimetric scattering from two-layered two-dimensional random rough surfaces with and without buried objects , 2004, IEEE Transactions on Geoscience and Remote Sensing.

[17]  D. A. Hill Electromagnetic scattering by buried objects of low contrast , 1988 .

[18]  Jin Au Kong,et al.  Finite-difference time-domain simulation of scattering from objects in continuous random media , 2002, IEEE Trans. Geosci. Remote. Sens..

[19]  Kamal Sarabandi,et al.  Electromagnetic scattering from two adjacent objects , 1994 .