AN EFFICIENT ALGORITHM FOR EM SCATTERING BY ELECTRICALLY LARGE DIELECTRIC OBJECTS USING MR-QEB ITERATIVE SCHEME AND CG-FFT METHOD

In this paper, an efficient algorithm is presented to analyze the electromagnetic scattering by electrically large-scale dielectric objects. The algorithm is based on the multi-region and quasi- edge buffer (MR-QEB) iterative scheme and the conjugate gradient (CG) method combined with the fast Fourier transform (FFT). This algorithm is done by dividing the computational domain into small sub-regions and then solving the problem in each sub-region with buffer area using the CG-FFT method. Considering the spurious edge effects, local quasi-edge buffer regions are used to suppress these unwanted effects and ensure the stability. With the aid of the CG-FFT method, the proposed algorithm is very efficient, and can solve very large- scale problems which cannot be solved using the conventional CG-FFT method in a personal computer. The accuracy and efficiency of the proposed algorithm are verified by comparing numerical results with analytical Mie-series solutions for dielectric spheres.

[1]  Qing Huo Liu,et al.  A fast volume integral equation solver for electromagnetic scattering from large inhomogeneous objects in planarly layered media , 2003 .

[2]  Kun-mu Chen,et al.  Electromagnetic Fields Induced Inside Arbitrarily Shaped Biological Bodies , 1974 .

[3]  Weng Cho Chew,et al.  Applying divergence-free condition in solving the volume integral equation , 2006 .

[4]  K. J. Glover,et al.  The discrete Fourier transform method of solving differential-integral equations in scattering theory , 1989 .

[5]  Andrea Toselli,et al.  Recent developments in domain decomposition methods , 2002 .

[6]  Barbara I. Wohlmuth,et al.  Discretization Methods and Iterative Solvers Based on Domain Decomposition , 2001, Lecture Notes in Computational Science and Engineering.

[7]  John L. Volakis,et al.  Application of a conjugate gradient FFT method to scattering from thin planar material plates , 1988 .

[8]  Hou-Xing Zhou,et al.  Integral equation‐based overlapped domain decomposition method for the analysis of electromagnetic scattering of 3D conducting objects , 2007 .

[9]  M. Condon,et al.  A novel iterative solution of the three dimensional electric field Integral equation , 2004, IEEE Transactions on Antennas and Propagation.

[10]  Weng Cho Chew,et al.  Fast algorithm for electromagnetic scattering by buried conducting plates of large size , 1999 .

[11]  Xinpu Guan,et al.  Electromagnetic Scattering by Mixed Conducting/Dielectric Objects Using Higher-Order MoM , 2006 .

[12]  P. M. Berg,et al.  The three dimensional weak form of the conjugate gradient FFT method for solving scattering problems , 1992 .

[13]  M. Cátedra,et al.  A numerical scheme to obtain the RCS of three-dimensional bodies of resonant size using the conjugate gradient method and the fast Fourier transform , 1989 .

[14]  Ahmed A. Kishk,et al.  Electromagnetic scattering from objects composed of multiple homogeneous regions using a region-by-region solution , 1994 .

[15]  Roger F. Harrington,et al.  Field computation by moment methods , 1968 .

[16]  Weng Cho Chew,et al.  Fast-forward solvers for the low-frequency detection of buried dielectric objects , 2003, IEEE Trans. Geosci. Remote. Sens..

[17]  Tapan K. Sarkar,et al.  An integral equation approach to the analysis of finite microstrip antennas: volume/surface formulation , 1990 .

[18]  Z. Cendes,et al.  A FEM domain decomposition method for photonic and electromagnetic band gap structures , 2006, IEEE Transactions on Antennas and Propagation.

[19]  Barry F. Smith,et al.  Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations , 1996 .

[20]  J. X. Wan,et al.  A FAST ANALYSIS OF SCATTERING FROM MICROSTRIP ANTENNAS OVER A WIDE BAND , 2005 .

[21]  H. Weaver.  Applications of Discrete and Continuous Fourier Analysis , 1983 .

[22]  Atef Z. Elsherbeni,et al.  The iterative multi-region algorithm using a hybrid finite difference frequency domain and method of moments techniques , 2006 .

[23]  R. Zich,et al.  Moment method with isoparametric elements for three-dimensional anisotropic scatterers , 1989, Proc. IEEE.