Fast solution of mixed dielectric/conducting scattering problem using volume-surface adaptive Integral method

This paper presents the adaptive integral method utilized to solve scattering problems of mixed dielectric and conducting objects using volume-surface integral equation. The scattering problem is formulated using volume integral equation and surface integral equation for dielectric material object and conducting object, respectively. The combined field integral equation is formulated to treat closed conducting surfaces. The method of moments is applied to discretize the integral equations. The resultant matrix system is solved by an iterative solver where the adaptive integral method is employed to accelerate the matrix-vector multiplication. The block diagonal preconditioner is implemented to further accelerate the convergence of the present solution. Numerical results are presented to demonstrate the accuracy and efficiency of the technique.

[1]  R. Coifman,et al.  The fast multipole method for the wave equation: a pedestrian prescription , 1993, IEEE Antennas and Propagation Magazine.

[2]  D. Wilton,et al.  A tetrahedral modeling method for electromagnetic scattering by arbitrarily shaped inhomogeneous dielectric bodies , 1984 .

[3]  Jiming Song,et al.  Multilevel fast‐multipole algorithm for solving combined field integral equations of electromagnetic scattering , 1995 .

[4]  M. Bleszynski,et al.  AIM: Adaptive integral method for solving large‐scale electromagnetic scattering and radiation problems , 1996 .

[5]  D. Wilton,et al.  Electromagnetic scattering by surfaces of arbitrary shape , 1980 .

[6]  Qing Huo Liu,et al.  A volume adaptive integral method (VAIM) for 3-D inhomogeneous objects , 2002 .

[7]  Tat Soon Yeo,et al.  Fast analysis of scattering by arbitrarily shaped three‐dimensional objects using the precorrected‐FFT method , 2002 .

[8]  T. Sarkar,et al.  Comments on "Application of FFT and the conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies" , 1986 .

[9]  Jian-Ming Jin,et al.  Adaptive integral solution of combined field integral equation , 1998 .

[10]  Jianming Jin,et al.  A novel hybridization of higher order finite element and boundary integral methods for electromagnetic scattering and radiation problems , 2001, IEEE Antennas and Propagation Society International Symposium. 2001 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.01CH37229).

[11]  L. Medgyesi-Mitschang,et al.  Electromagnetic scattering from axially inhomogeneous bodies of revolution , 1984 .

[12]  R. Harrington,et al.  A surface formulation for characteristic modes of material bodies , 1977 .

[13]  Le-Wei Li,et al.  Precorrected-Fft Algorithm for Solving Combined Field Integral Equations in Electromagnetic Scattering , 2002 .

[14]  W. Chew,et al.  A coupled surface-volume integral equation approach for the calculation of electromagnetic scattering from composite metallic and material targets , 2000 .

[15]  Weng Cho Chew,et al.  A multilevel algorithm for solving a boundary integral equation of wave scattering , 1994 .

[16]  Te-kao Wu,et al.  Scattering from arbitrarily‐shaped lossy dielectric bodies of revolution , 1977 .

[17]  M. Bleszynski,et al.  A fast integral-equation solver for electromagnetic scattering problems , 1994, Proceedings of IEEE Antennas and Propagation Society International Symposium and URSI National Radio Science Meeting.

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

[19]  Jian-Ming Jin,et al.  An efficient algorithm for analyzing large-scale microstrip structures using adaptive integral method combined with discrete complex-image method , 2000 .

[20]  Andrew J. Poggio,et al.  CHAPTER 4 – Integral Equation Solutions of Three-dimensional Scattering Problems , 1973 .

[21]  V. Rokhlin Rapid Solution of Integral Equations of Scattering Theory , 1990 .

[22]  Jian-Ming Jin,et al.  Application of adaptive integral method to scattering and radiation analysis of arbitrarily shaped planar structures , 1998 .