volume | PIER Journals

Abstract

In this research, a fast approach of method of moments (MoM) for analyzing 3-D dielectric body is proposed. The unknown polarization current in dielectric body is expanded into rectangular blocks with overlapping volume sinusoidal basis functions. To accelerate the matrix-solving CPU time in MoM, the multi-region iterative method, where the overlapping blocks are used as the iteration units, is applied to solving the matrix equation in the MoM. Some numerical results are given to show that the CPU time for solving unknown currents can be reduced effectively by multi-region iterative method.

1. Karimullah, K., K. M. Chen, and D. P. Nyquist, "Electromagnetic coupling between a thin-wire antenna and a neighboring biological body: Theory and experiment ," IEEE Trans. Microwave Theory Tech., Vol. 28, No. 11, 1218-1225, Nov. 1980. Google Scholar

2. Ofuji, Y., D. Koizumi, Q. Chen, and K. Sawaya, "Method of moments for dielectric scatters by using block modeling with Galerkin's method," IEEE Antennas Propag. Soc. Symp., Vol. 4, 2314-2317, 2000. Google Scholar

3. Yoshikawa, Y., H. Miyashita, I. Chiba, and S. Makino, "Integral degree reduction of impedance matrix elements in polarization current moment method," IEICE Trans. Elec., Vol. J86-B, No. 9, 1721-1730, Sep. 2003 (Japanese edition).. Google Scholar

4. Zhai, H. Q., Q. W. Yuan, Q. Chen, and K.Sawaya, "Analytical expressions of self/mutual impedance between volume sinusoidal monopoles," IEICE Technical Report A·P2007, University of Fukui, Japan, 2007. Google Scholar

5. Rokhlin, V., "Rapid solution of integral equations of scattering theory in two dimensions ," J. Comput. Phys., Vol. 36, No. 2, 414-439, Feb. 1990.
doi:10.1016/0021-9991(90)90107-C Google Scholar

6. Zhao, L., T. J. Cui, and W. Li, "An efficient algorithm for EM scattering by electrically large dielectric objects using MR-QEB iterative scheme and CG-FFT method," Progress In Electromagnetics Research, Vol. 67, 341-355, 2007.
doi:10.2528/PIER06121902 Google Scholar

7. Shafai, L., "Aprogressiv e numerical method and its application to large field problems in antennas and electromagnetic scattering," Canadian Electrical Engineering Journal, No. 2, 867-877, 1997. Google Scholar

8. Ye, Q. and L. Shafai, "Performance of the progressive numerical method and its comparison with the modified spatial decomposition technique in solving large scattering problems," IEE Proc. Microwave Antennas Propag., Vol. 145, No. 1, 169-173, 1998.
doi:10.1049/ip-map:19981656 Google Scholar

9. Chen, Q., Q. W. Yuan, and K. Sawaya, "Fast algorithm for solving matrix equation in MoM analysis of large-scale array antennas," IEICE Trans. Commun., Vol. E85-B, No. 11, 2482-2488, Nov. 2002. Google Scholar

10. Zhai, H. and C. Liang, "Afast wideband analysis of radiation and scattering problems by impedance-matrix interpolation combined with progressive numerical method," Microwave and Optical Technology Letters, Vol. 43, No. 1, Oct. 2004. Google Scholar

11. Brennan, C., P. Cullen, and M. Condon, "A novel solution of the three dimensional electric field integral equation," IEEE Antennas and Propag., Vol. 52, 2781-2784, Oct. 2004.
doi:10.1109/TAP.2004.834405 Google Scholar

12. Chen, Q., Q. Yuan, and K. Sawaya, "Convergence of SOR in MoM analysis of array antenna," IEICE Transactions on Communications, Vol. E88-B, No. 5, 2220-2223, May 2005.
doi:10.1093/ietcom/e88-b.5.2220 Google Scholar

13. Al Sharkawy, M., V. Demir, and A. Z. Elsherbeni, "The iterative multi-region algorithm using a hybrid finite difference frequency domain and method of moments techniques," Progress In Electromagnetics Research, Vol. 57, 19-32, 2006.
doi:10.2528/PIER05071001 Google Scholar

Prof. Huiqing Zhai

Prof. Qiaowei Yuan

Dr. Qiang Chen

Dr. Kunio Sawaya