Vol. 41

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues
2012-06-04

A Multi-Dimensional Adaptive Sampling Method for Analysis and Design of Frequnecy Selective Surface with Arbitrary Element

By Xin Ma, Guobin Wan, and Wei Wan
Progress In Electromagnetics Research B, Vol. 41, 213-230, 2012
doi:10.2528/PIERB12042004

Abstract

A fast and efficient multi-dimensional adaptive sampling method (ASM) based on Stoer-Bulirsch (S-B) algorithm for frequency selective surface (FSS) analysis and design is presented in this paper. The multivariate rational function is established according to the functional relation of the scattering parameters with frequency and direction of incident wave, medium parameters and geometry dimensions of FSS structure, et al. In order to evaluate the values of the multivariate rational function fully automatically without determining the coefficients of the targeted rational interpolant, the one-dimensional S-B algorithm is expanded into multidimensional method. The sampling points in each dimension are chosen at the areas of maximum error in an adaptive way. The recursive interpolation results of one dimension are used as the initial values of next dimension in the recursive tabular until n-dimension recursive interpolation is accomplished. The initial values of recursive algorithm are calculated by spectral domain method of moments (MoM) at every sample point. The current distribution of FSS cell is predicted by Rao-Wilton-Glisson (RWG) subdomain basis functions which are applicable for arbitrarily shape elements. Four examples, including FSS with the eight-legged, cross and ring elements and FSS radome enclosed antennas, are considered to demonstrate the feasibility of applying the multi-dimensional ASM to analysis and optimal design of FSS. Numerical results show that the proposed method is superior in computation efficiency compared to the direct MoM. Good agreement between the proposed technique and the direct MoM is observed.

Citation


Xin Ma, Guobin Wan, and Wei Wan, "A Multi-Dimensional Adaptive Sampling Method for Analysis and Design of Frequnecy Selective Surface with Arbitrary Element," Progress In Electromagnetics Research B, Vol. 41, 213-230, 2012.
doi:10.2528/PIERB12042004
http://jpier.org/PIERB/pier.php?paper=12042004

References


    1. Zappelli, L., "Modified dielectric frequency selective surfaces with enlarged bandwidth and angular stability," IEEE Trans. on Antennas and Propagat., Vol. 59, No. 10, 3668-3668, 2011.
    doi:10.1109/TAP.2011.2163765

    2. Xue, J.-Y., S.-X. Gong, P.-F. Zhang, W. Wang, and F.-F. Zhang, "A new miniaturized fractal frequency selective surface with excellent angular stability," Progress In Electromagnetics Research Letters, Vol. 13, 131-138, 2010.
    doi:10.2528/PIERL10010804

    3. Robert, A. K. and C. H. Chan, "A numerically efficient technique for the method of moments solution for planar periodic structures in layered media," IEEE Trans. Microwave Theory and Techniques, Vol. 42, No. 4, 635-643, 1994.
    doi:10.1109/22.285070

    4. Rao, S. M., D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surface of arbitrary shape," IEEE Trans. on Antennas and Propagat., Vol. 30, No. 3, 409-418, 1982.
    doi:10.1109/TAP.1982.1142818

    5. Chan, C. H. and R. Mittra, "On the analysis of frequency selective surface using subdomain basis functions," IEEE Trans. on Antennas and Propagat., Vol. 38, No. 1, 40-50, 1990.
    doi:10.1109/8.43588

    6. Chun, Y. and C. C. Lu, "Analysis of finite and curved frequency-selective surfaces using the hybrid volume-surface integral equation approach," Microwave and optical technology letters, Vol. 45, No. 2, 107-112, 2005.
    doi:10.1002/mop.20738

    7. Martini, E., et al., "Fast analysis of FSS radome for antenna RCS reduction," IEEE Antennas and Propagation Society International Symposium, 1801-1804, 2006.
    doi:10.1109/APS.2006.1710917

    8. Hajlaoui, E. A., et al., "Analysis of novel dual-resonant and dual-polarized frequency selective surface using periodic contribution of wave concept iterative process PPMS-WCIP," 3rd International Conference on Information and Communication Technologies: From Theory to Applications, 1-6, 2008.

    9. Mittra, R., C. H. Chen, and T. A. Cwick, "Techniques for analyzing frequency selective surfaces-a review," Proceedings of IEEE, Vol. 76, No. 12, 1593-1615, 1988.
    doi:10.1109/5.16352

    10. Reddy, C. J., et al., "Fast RCS computation over a frequency band using method of moments in conjunction with asymptotic waveform evaluation technique," IEEE Trans. on Antennas and Propagat., Vol. 46, 1229-1233, 1998.
    doi:10.1109/8.718579

    11. Chen, M. S., et al., "A new approach for fast solution of electromagnetic scattering problems over a broad frequency band," 3rd IEEE International Symposium on Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications, 932-934, 2009.

    12. Ma, X., et al., "Efficient analysis of FSS using the MoM-based Maehly approximation," Proceedings of 2011 Cross Strait Quad-regional Radio Science and Wireless Technology Conference, 21-24, 2011.

    13. Ding, Y., K. L. Wu, and D. G. Fang, "A broad-band adaptive-frequency-sampling approach for microwave-circuit EM simulation exploiting Stoer-Bulirsch algorithm," IEEE Transaction on Microwave Theory and Technique, Vol. 51, No. 3, 928-934, 2003.
    doi:10.1109/TMTT.2003.808694

    14. Chen, J. Q., Z. W. Liu, and R. S. Chen, "An adaptive frequency sampling method for frequency selective surface design exploiting Steor-Bulirsch algorithm," Asia-Pacific Microwave Conference, Bangkok, December 11-14, 2007.

    15. Lehmensiek, R. and P. Meyer, "Creating accurate multivariate rational interpolation of microwave circuits by using e±cient adaptive sampling to minimize the number of analyses," IEEE Transaction on Microwave Theory and Technique, Vol. 49, No. 8, 1419-1430, 2001.
    doi:10.1109/22.939922

    16. Geest, J. D., T. Dhaene, N. Faché, and D. De Zutter, "Adaptive CAD-model building algorithm for general planar microwave structures," IEEE Transactions on Microwave Theory and Techniques, Vol. 47, No. 9, 1801-1809, 1999.
    doi:10.1109/22.788515

    17. Peik, S. F., R. R. Mansour, and Y. L. Chow, "Multidimensional cauchy method and adaptive sampling for and accurate microwave circuit modeling," IEEE Transaction on Microwave Theory and Technique, Vol. 46, No. 12, 2364-2371, 1998.
    doi:10.1109/22.739224

    18. Wu, T. K., Frequency Selective Surface and Grid Array, John Wiley & Sons, New York, 1995.

    19. Mcinturff, K. and P. S. Simon, "The Fourier transform of linearly varying functions with polygonal support," IEEE Trans. on Antennas and Propagat., Vol. 39, No. 9, 1441-1443, 1991.
    doi:10.1109/8.99058

    20. Stoer, J. and R. Bulirsch, Introduction to Numerical Analysis, Spring-Verlag, Berlin, 1980.