A Domain Decomposition Finite Difference Time Domain (FDTD) Method for Scattering Problem from Very Large Rough Surfaces

A domain decomposition-finite difference time domain (DD-FDTD) method is proposed to solve the problem of electromagnetic scattering from very large rough surfaces. The entire computational domain is decomposed into multiple subdomains. Each subdomain is simulated by using the conventional FDTD method to obtain the scattered fields on a Huygens' surface and the total fields on the rough surface. The latter is used to compute the scattered field on the Huygens' surface in adjacent subdomains, by invoking the reciprocity theorem. Simulation results are compared with those in the literatures to validate this method. The normalized radar cross sections (NRCSs) from very large surfaces of 66λ × 66λ are also presented to demonstrate the efficacy of this method.

[1]  P. Phu,et al.  Experimental studies of millimeter-wave scattering in discrete random media and from rough surfaces - Summary , 1996 .

[2]  Bing-Zhong Wang,et al.  An Efficient Domain Decomposition Laguerre-FDTD Method for Two-Dimensional Scattering Problems , 2013, IEEE Transactions on Antennas and Propagation.

[3]  Qin Li,et al.  Parallel implementation of the sparse-matrix/canonical grid method for the analysis of two-dimensional random rough surfaces (three-dimensional scattering problem) on a Beowulf system , 2000, IEEE Trans. Geosci. Remote. Sens..

[4]  D. Holliday,et al.  Forward-backward: a new method for computing low-grazing angle scattering , 1996 .

[5]  Joel T. Johnson,et al.  A numerical study of low-grazing-angle backscatter from ocean-like impedance surfaces with the canonical grid method , 1998 .

[6]  W. Linwood Jones,et al.  Evaluation of hurricane ocean vector winds from WindSat , 2006, IEEE Transactions on Geoscience and Remote Sensing.

[7]  Jose Luis Alvarez-Perez,et al.  The IEM2M rough-surface scattering model for complex-permittivity scattering media , 2012 .

[8]  Joel T. Johnson,et al.  A novel acceleration algorithm for the computation of scattering from rough surfaces with the forward‐backward method , 1998 .

[9]  S. Rice Reflection of electromagnetic waves from slightly rough surfaces , 1951 .

[10]  Joel T. Johnson,et al.  A numerical study of the composite surface model for ocean backscattering , 1998, IEEE Trans. Geosci. Remote. Sens..

[11]  Leung Tsang,et al.  Monte-Carlo simulations of large-scale problems of random rough surface scattering and applications to grazing incidence with the BMIA/canonical grid method , 1995 .

[12]  G. Brown,et al.  Backscattering from a Gaussian-distributed perfectly conducting rough surface , 1978 .

[13]  Weng Cho Chew,et al.  A combined steepest descent-fast multipole algorithm for the analysis of three-dimensional scattering by rough surfaces , 1997 .

[14]  Saibun Tjuatja,et al.  Numerical simulation of scattering from three-dimensional randomly rough surfaces , 1994, IEEE Trans. Geosci. Remote. Sens..

[15]  J. Kong,et al.  Theory of microwave remote sensing , 1985 .

[16]  A. Ishimaru,et al.  Application of the phase-perturbation technique to randomly rough surfaces , 1985 .

[17]  Antonio Iodice Forward-backward method for scattering from dielectric rough surfaces , 2002 .

[18]  Feng Xu,et al.  Domain decomposition FDTD algorithm for the analysis of a new type of E-plane sectorial horn with aperture field distribution optimization , 2004 .

[19]  Joel T. Johnson,et al.  A New Model for Rough Surface Scattering , 2007, IEEE Transactions on Geoscience and Remote Sensing.

[20]  Qin Li,et al.  Monte Carlo simulations of wave scattering from lossy dielectric random rough surfaces using the physics-based two-grid method and the canonical-grid method , 1999 .

[21]  Gabriel Soriano,et al.  Rigorous Simulations of Microwave Scattering From Finite Conductivity Two-Dimensional Sea Surfaces at Low Grazing Angles , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[22]  Lixin Guo,et al.  FDTD Method Investigation on the Polarimetric Scattering from 2-D Rough Surface , 2010 .

[23]  A. Voronovich Wave Scattering from Rough Surfaces , 1994 .

[24]  Joel T. Johnson,et al.  Numerical simulations and backscattering enhancement of electromagnetic waves from two-dimensional dielectric random rough surfaces with the sparse-matrix canonical grid method , 1997 .

[25]  Akira Ishimaru,et al.  Backscattering enhancement of electromagnetic waves from two-dimensional perfectly conducting random rough surfaces: a comparison of Monte Carlo simulations with experimental data , 1996 .

[26]  Leung Tsang,et al.  Electromagnetic Scattering of Randomly Rough Soil Surfaces Based on Numerical Solutions of Maxwell Equations in Three-Dimensional Simulations Using a Hybrid UV/PBTG/SMCG Method , 2012, IEEE Transactions on Geoscience and Remote Sensing.

[27]  Lawrence Carin,et al.  Multilevel fast-multipole algorithm for scattering from conducting targets above or embedded in a lossy half space , 2000, IEEE Trans. Geosci. Remote. Sens..

[28]  Wei Shao,et al.  A Domain Decomposition Finite-Difference Method Utilizing Characteristic Basis Functions for Solving Electrostatic Problems , 2008, IEEE Transactions on Electromagnetic Compatibility.

[29]  Raj Mittra,et al.  A new domain decomposition finite-difference time domain for solving large electromagnetic problems , 2006 .

[30]  Richard K. Moore,et al.  Microwave Remote Sensing, Active and Passive , 1982 .

[31]  T. Dogaru,et al.  Full-Wave Characterization of Rough Terrain Surface Scattering for Forward-Looking Radar Applications , 2012, IEEE Transactions on Antennas and Propagation.

[32]  Yaqiu Jin,et al.  Bidirectional Analytic Ray Tracing for Fast Computation of Composite Scattering From Electric-Large Target Over a Randomly Rough Surface , 2009, IEEE Transactions on Antennas and Propagation.

[33]  Jiming Song,et al.  Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects , 1997 .

[34]  Bin Liu,et al.  A Fast Numerical Method for Electromagnetic Scattering From Dielectric Rough Surfaces , 2011, IEEE Transactions on Antennas and Propagation.

[35]  E. Thorsos The Validity of the Kirchhoff Approximation for Rough Surface Scattering Using a Gaussian Roughness Spectrum , 2004 .

[36]  D. Jackson,et al.  The validity of the perturbation approximation for rough surface scattering using a Gaussian roughness spectrum , 1988 .

[37]  J. Kong Electromagnetic Wave Theory , 1986 .

[38]  Leung Tsang,et al.  A SMFSIA method for the electromagnetic scattering from a two-dimensional (3-D scattering problem) perfectly conducting random rough surface , 1994, Proceedings of IEEE Antennas and Propagation Society International Symposium and URSI National Radio Science Meeting.