A BICONJUGATE GRADIENT FFT SOLUTION FOR SCATTERING BY PLANAR PLATES

被引:34
作者
JIN, JM
VOLAKIS, JL
机构
[1] Radiation Laboratory, Department of Electrical Engineering and Computer Science, Ann Arbor, MI, 48109–2122, M/S 4C01
关键词
Biconjugate Gradient FFT Solution - Dyadic Green's function - Planar Plates;
D O I
10.1080/02726349208908299
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
An efficient numerical solution of the scattering by planar perfectly conducting or resistive plates is presented. The electric field integral equation is discretized using roof-top subdomain functions as testing and expansion basis and the resulting system is solved via the biconjugate gradient (BiCG) method in conjunction with the fast Fourier transform (FFT). Unlike other formulations employed in conjunction with the conjugate gradient FFT (CG-FFT) method, in this formulation the derivatives associated with the dyadic Green's function are transferred to the testing and expansion basis, thus reducing the singularity of the kernel. This leads to substantial improvements in the convergence of the solution as demonstrated by the included results.
引用
收藏
页码:105 / 119
页数:15
相关论文
共 11 条
[1]  
Sarkar T.K., Arvas E., Rao S.M., Application of fft and the conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies, IEEE Trans. Antennas Propagat, 34, pp. 635-640, (1986)
[2]  
Peters' T.J., Volakis J.L., Application of ¿'conjugate gradient fft method to scattering from thin planar material plates, IEEE Trans. Antennas Propagat, 36, pp. 518-526, (1988)
[3]  
Barkeshli K., Volakis J.L., Improving the convergence rate of the conjugate gradient fft method using subdomain basis functions, IEEE Trans. Antennas Propagat, 37, pp. 893-900, (1989)
[4]  
Bojarski N.N., K-space formulation of the electromagnetic scattering problem, Air Force Avionics Lab. Technical Report AFAL-TR-71-75, (1971)
[5]  
Shen C.Y., Shen Glover K.J., Sancer M.I., Varvatsis A.D., The discrete fourier transform method of solving differential-integral equations in scattering theory, IEEE Trans. Antennas Propagat, 37, pp. 1032-1041, (1989)
[6]  
Barkeshli K., Volakis J.L., On the implementation of the conjugate gradient fourier transform method for scattering by planar plates, IEEE Antennas & Propagation Magazine, 32, pp. 20-26, (1990)
[7]  
Catedra M.F., Cuevas J.G., Nuno L., A scheme to analyze conducting plates of resonant size using the conjugate-gradient method and the fast fourier transform, IEEE Trans. Antennas Propagat, 36, pp. 1744-1752, (1988)
[8]  
Zwamborn A., Van Den Berg P.M., A weak form of the conjugate gradient fft method for plate problems, IEEE Trans. Antennas Propagat, 39, pp. 224-228, (1991)
[9]  
Mautz J.R., Harrington R.F., Electromagnetic transmission through a rectangular aperture in a perfectly conducting plane, Scientific Report No. 10, Contract F19628-73-C-0047 with Air Force Cambridge Research Laboratories, (1976)
[10]  
Rao S.M., Wilton D.R., Glisson A.W., Electromagnetic scattering by surfaces of arbitrary shape, IEEE Trans, 30, pp. 409-419, (1982)