volume | PIER Journals

Abstract

The Sub-Entire-Domain (SED) basis function method has been applied to solve electromagnetic problems of irrectangular periodic structures with finite sizes efficiently. Three typical irrectangular periodic structures such as parallelogrammic periodic structures, triangular periodic structures, and trapeziform periodic structures are investigated using the SED basis function method. Just as the SED basis functions for rectangular periodic structures, the new SED basis functions for irrectangular periodic structures are defined on the support of each single cell, and the corresponding dummy cells are introduced to obtain the new SED basis functions. Using the proposed SED basis function method, the original large-scale problem is decomposed into two small-size problems. One is the determination of new SED basis functions, and the other is to solve the whole problem using MoM and SED basis functions. Numerical examples are given to prove the validity and efficiency of the new method.

1. Eldek, A. A., A. Z. Elsherbeni, and C. E. Smith, "Rectangular slot antenna with patch stub for ultra wideband application and phased array systems," Progress In Electromagnetics Research, Vol. 53, 227-237, 2005.
doi:10.2528/PIER04092701 Google Scholar

2. Toyama, H. and K. Yasumoto, "Electromagnetic scattering from periodic arrays of composite circular cylinder with internal cylindrical scatterers," Progress In Electromagnetics Research, Vol. 52, 321-333, 2005.
doi:10.2528/PIER04100101 Google Scholar

3. Qing, A., "Vector spectral-domain method for the analysis of frequency selective surfaces," Progress In Electromagnetics Research, Vol. 65, 201-232, 2006.
doi:10.2528/PIER06091401 Google Scholar

4. Yousefzadeh, N., C. Ghobadi, and M. Kamyab, "Consideration of mutual coupling in a microstrip patch array using fractal elements," Progress In Electromagnetics Research, Vol. 66, 41-49, 2006.
doi:10.2528/PIER06081401 Google Scholar

5. Hosseini, M., A. Pirhadi, and M. Hakkak, "A novel AMC with little sensitivity to the angle of incidence using 2-layer jerusalem cross FSS," Progress In Electromagnetics Research, Vol. 64, 43-51, 2006.
doi:10.2528/PIER06061301 Google Scholar

6. Pirhadi, A., M. Hakkak, and F. Keshmiri, "Bandwidth enhancement of the probe fed microstrip antenna using frequency selective surface as electromagnetic bandgap superstrate," Progress In Electromagnetics Research, Vol. 61, 215-230, 2006.
doi:10.2528/PIER06021801 Google Scholar

7. Ran, L., J. Huangfu, H. Chen, X. M. Zhang, K. Cheng, T. M. Grzegorczyk, and J. A. Kong, "Experimental study on several left-handed matamaterials," Progress In Electromagnetics Research, Vol. 51, 249-279, 2005.
doi:10.2528/PIER04040502 Google Scholar

8. Yao, H. Y., L. W. Li, Q. Wu, and J. A. Kong, "Macroscopic performance analysis of metamaterials synthesized from microscopic 2-D isotropic cross split-ring resonator array," Progress In Electromagnetics Research, Vol. 51, 197-217, 2005.
doi:10.2528/PIER04020301 Google Scholar

9. Du, P., B.-Z. Wang, H. Li, and G. Zheng, "Scattering analysis of large-scale periodic structures using the sub-entire domain basis function method and characteristic fucntion method," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 14, 2085-2094, 2007.
doi:10.1163/156939307783152957 Google Scholar

10. Lu, W. B. and T. J. Cui, "Efficient method for full-wave analysis of large-scale finite-sized periodic structure," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 14, 2157-2168, September 2007.
doi:10.1163/156939307783152812 Google Scholar

11. Li, D., Y. J. Xie, P. Wang, and R. Yang, "Applications of splitring resonances on multi-band frequency selective surfaces," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 11, 1551-1563, 2007. Google Scholar

12. Rao, S. M., D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., Vol. 30, 409-418, May 1982.
doi:10.1109/TAP.1982.1142818 Google Scholar

13. Rokhlin, V., "Rapid solution of integral equations of scattering theory in two dimensions," J. Comput. Phys., Vol. 86, 414-439, February 1990.
doi:10.1016/0021-9991(90)90107-C Google Scholar

14. Song, J. M. and W. C. Chew, "Multilevel fast multipole algorithm for solving combined field integral equations of electromagnetic scattering," Microwave Opt. Technology Lett., Vol. 10, No. 1, 14-19, September 1995.
doi:10.1002/mop.4650100107 Google Scholar

15. Cui, T. J., W. C. Chew, G. Chen, and J. M. Song, "Efficient MLFMA, RPFMA and FAFFA algorithms for EM scattering by very large structures," IEEE Trans. Antennas Propagat., Vol. 52, 759-770, March 2004.
doi:10.1109/TAP.2004.825491 Google Scholar

16. Suter, E. and J. Mosig, "A subdomain multilevel approach for the MoM analysis of large planar antennas," Microwave Opt. Technology Lett., Vol. 26, 270-227, August 2000.
doi:10.1002/1098-2760(20000820)26:4<270::AID-MOP20>3.0.CO;2-C Google Scholar

17. Matekovits, L., G. Vecchi, G. Dassano, and M. Orefice, "Synthetic function analysis of large printed structures: The solution space sampling approach," 2001 IEEE AP-S Int. Symp., 568-571, Boston, MA, July 2001.

18. Yeo, J. and R. Mittra, "Numerically efficient analysis of microstrip antennas using the characteristic basis function method (CBFM)," 2003 IEEE AP-S Int. Symp., Columbus, Ohio, June 2003.

19. Yeo, J., V. V. S. Prakash, and R. Mittra, "Efficient analysis of a class of microstrip antennas using the characteristic basis fucntion method (CBFM)," Microwave Opt. Technology Lett., Vol. 39, 456-464, December 2003.
doi:10.1002/mop.11247 Google Scholar

20. Prakash, V. V. S. and R. Mittra, "Characteristic basis function method: A new technique for efficent solution of method of moments matrix equations," Microwave Opt. Technology Lett., Vol. 36, 95-100, January 2003.
doi:10.1002/mop.10685 Google Scholar

21. Lu, W. B., T. J. Cui, Z. G. Qian, X. X. Yin, and W. Hong, "Accurate analysis of large-scale periodic structures using an efficient sub-entire-domain basis function method," IEEE Trans. Antennas Propagat., Vol. 52, No. 11, 3078-3085, November 2004.
doi:10.1109/TAP.2004.835143 Google Scholar

22. Lu, W. B., T. J. Cui, X. X. Yin, Z. G. Qian, and W. Hong, "Fast algorithms for large-scale periodic structures using subentire domain basis functions," IEEE Trans. Antennas Propagat., Vol. 53, No. 3, 1154-1162, March 2005.
doi:10.1109/TAP.2004.842635 Google Scholar

23. Lu, W. B., T. J. Cui, and H. Zhao, "Acceleration of fast multipole method for large-scale periodic structures with finite sizes using sub-entire-domain basis functions," IEEE Trans. Antennas Propagat., Vol. 55, No. 2, 414-421, February 2007.
doi:10.1109/TAP.2006.889805 Google Scholar

Dr. Wei Bing Lu

Dr. Qian Yi Zhao

Professor Tie-Jun Cui