volume | PIER Journals

Abstract

The problem of electromagnetic scattering by thin metal plates is formulated in terms of Electric Field Integral Equation and solved by an improved form of the Spectral Iteration Technique. The local solution at the edges of the plate is chosen as initial guess for the unknown surface current in order to guarantee and enhance the convergence of the iterative scheme. Numerical simulations on a square conducting plate are presented to validate the proposed approach.

1. Ross, R. A. and M. Hamid, "Bistatic scattering from rectangular plates," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 8, 1111-1124, 2005.
doi:10.1163/156939305775526115 Google Scholar

2. Hatamzadeh-Varmazyar, S. and M. Naser-Moghadasi, "An integral equation modelling of electromagnetic scattering from the surfaces of arbitrary resistance distribution ," Progress In Electromagnetics Resarch B, Vol. 3, 157-172, 2008.
doi:10.2528/PIERB07121404 Google Scholar

3. Li, Y.-L., J.-Y. Huang, M.-J. Wang, and J. Zhang, "Scattering field for the ellipsoidal targets irradiated by an electromagnetic wave with arbitrary polarizing and propagation direction ," Progress In Electromagnetics Resarch B, Vol. 1, 221-235, 2008.
doi:10.2528/PIERL07120610 Google Scholar

4. Harrington, R. F., Field Computation by Moment Method, MacMillan Press, 1968.

5. Mittra, R. and K. Du, "Characteristic basis function method for iterative-free solution of large method of moments problems," Progress In Electromagnetics Research B, Vol. 6, 307-336, 2008.
doi:10.2528/PIERB08031206 Google Scholar

6. Guo, J.-L., J.-Y. Li, and Q.-Z. Liu, "Electromagnetic analysis of couplet conducting and dielectric targets using MoM with a preconditioner," Journal of Electromagnetic Waves and Applications , Vol. 19, No. 9, 1223-1236, 2005.
doi:10.1163/156939305775526007 Google Scholar

7. Su, D., D.-M. Fu, and D. Yu, "Genetic algorithms and Method of Moments for the design of PIFAs," Progress In Electromagnetics Research Letters, Vol. 1, 9-18, 2008.
doi:10.2528/PIERL07110603 Google Scholar

8. Su, C. and T. K. Sarkar, "Analysis of scattering from perfectly conducting plates by the use of AMMM," Progress In Electromagnetics Research, Vol. 21, 71-89, 1999.
doi:10.2528/PIER98040100 Google Scholar

9. Nie, X.-C., L.-W. Li, and N. Yuan, "Precorrected-FFT algorithm for solving combined field integral equations in electromagnetic scattering," Journal of Electromagnetic Waves and Applications, Vol. 16, No. 8, 1171-1187, 2002.
doi:10.1163/156939302X00697 Google Scholar

10. Kleinman, R. E. and P. M. van den Berg, "Iterative methods for solving integral equations," Progress In Electromagnetics Research, Vol. 5, 67-102, 1991. Google Scholar

11. Hamid, A. K. and M. I. Hussein, "Iterative solution to the electromagnetic plane wave scattering by two parallel conducting elliptic cylinders ," Journal of Electromagnetic Waves and Applications, Vol. 17, No. 6, 813-828, 2003.
doi:10.1163/156939303322503376 Google Scholar

12. Chiang, I.-T. and W.-C. Chew, "New formulation and iterative solution for low-frequency volume integral equation," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 3, 289-306, 2005.
doi:10.1163/1569393054139633 Google Scholar

13. Zhai, H.-Q. and C.-H. Liang, "A simple iterative current-based hybrid method and its fast implementation over a wide frequency band," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 1, 55-66, 2005.
doi:10.1163/1569393052955062 Google Scholar

14. Volakis, J. L. and K. Barkeshli, "Applications of the Conjugate Gradient FFT method to radiation and scattering," Progress In Electromagnetics Research, Vol. 5, 159-239, 1991. Google Scholar

15. Peterson, A. F., S. L. Ray, C. H. Chen, and R. Mittra, "Numerical implementations of the conjugate gradient method and the CGFFT for electromagnetic scattering," Progress In Electromagnetics Research, Vol. 5, 241-300, 1991. Google Scholar

16. Catedra, M. F. and R. P. Torres, "A scheme to analyze scattering from metallic periodic structures using the conjugate-gradient and the fast fourier transform method ," Progress In Electromagnetics Research, Vol. 4, 315-343, 1991. Google Scholar

17. Wilton, D. R. and J. E. Wheeler III, "Comparison of convergence rates of the conjugate gradient method applied to various integral equation formulations," Progress In Electromagnetics Research, Vol. 5, 131-158, 1991. Google Scholar

18. Zwamborn, A. P. M. and P. M. van den Berg, "A weak form of the conjugate gradient FFT method for plate problems," IEEE Trans. Antennas Propag., Vol. 39, No. 2, 224-228, 1991.
doi:10.1109/8.68186 Google Scholar

19. Mittra, R. and C. H. Chan, "Iterative approaches to the solution of electromagnetic boundary value problems," Electromagnetics, Vol. 5, 123-146, 1985.
doi:10.1080/02726348508908144 Google Scholar

20. Ko, W. L. and R. Mittra, "A new approach based on a combination of integral equation and asymptotic techniques for solving electromagnetic scattering problems ," IEEE Trans. Antennas Propag., Vol. 25, No. 2, 187-197, 1977.
doi:10.1109/TAP.1977.1141571 Google Scholar

21. Mittra, R., W. L. Ko, and Y. Rahmat-Samii, "Transform approach to electromagnetic scattering," Proc. of the IEEE , Vol. 67, No. 11, 1486-1503, 1979.
doi:10.1109/PROC.1979.11509 Google Scholar

22. Costanzo, S. and G. Di Massa, "An improved form of the spectral iteration technique," Journal of Electromagnetic Waves and Applications, Vol. 13, 1709-1723, 1999.
doi:10.1163/156939399X00178 Google Scholar

23. Costanzo, S. and G. Di Massa, "Electromagnetic scattering problems solved by improved spectral iteration technique," Microwave and Optical Tech. Letters, Vol. 29, No. 6, 384-388, 2001.
doi:10.1002/mop.1185 Google Scholar

24. Balanis, C. A., Advanced Engineering Electromagnetics, John Wiley & Sons, 1989.

25. Shen, C. Y., "Application of the discrete fourier transform method to plate problems," Progress In Electromagnetics Research, Vol. 5, 329-350, 1991. Google Scholar

26. Weaver, H. J., Theory of Discrete and Continuous Fourier Analysis, John Wiley & Sons, 1989.

27. Kreyszig, E., Introductory Functional Analysis with Applications, John Wiley & Sons, 1978.

28. Golub, G. H. and C. F. Van Loan, Matrix Computations, Johns Hopkins University Press, 1996.

29. Sarkar, T. K., E. Arvas, and S. M. Rao, "Application of FFT and the conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies," IEEE Trans. Antennas Propag., Vol. 34, No. 5, 635-640, 1986.
doi:10.1109/TAP.1986.1143871 Google Scholar

Dr. Sandra Costanzo

Prof. Giuseppe Di Massa