Modified Fast Directional Multilevel Algorithm for Analysis of Scattering of Microstrip Patch

Abstract:

In this paper, the modified fast directional multilevel algorithm (FDMA) is presented for analyzing microstrip patch. The FDMA has been successfully applied to analyze scattering in free space and then it was extended to solve mircrostrip problems. The quad-tree structure is used in this method, which is the same as that in fast multipole method. In our method, the finest level group size can be set smaller than 0.2λ without suffering from subwavelength breakdown. The resulting algorithm has the memory requirement and the CPU time per iteration proportional to O (NLogN), where N refers to the number of unknowns. Numerical results of microstrip structures are presented to show the efficiency of this method

• Periodical: Advanced Materials Research (Volume 981)
• Pages: 486-489
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.981.486
• Online since: July 2014
• Authors: Hua Chen*, Fan Yong Jie
• Keywords: Microstrip Antenna Array, Modified Fast Directional Multilevel Algorithm, Radiation

References

[1] S. M. Rao, D. R. Wilton, and A. W. Glisson, Electromagnetic scattering by surfaces of arbitrary shape, IEEE Trans. Antennas Propag., vol. 30, no. 3, pp.409-418, (1982).

DOI: 10.1109/tap.1982.1142818

[2] D. G. Fang, J. J. Yang, and G. Y. Delisle, Discrete image theory for horizontal electric dipoles in a multilayered medium, Proc. IEEE, pt. H, vol. 135, pp.297-303, Oct. (1988).

DOI: 10.1049/ip-h-2.1988.0062

[3] Y. L. Chow, J. J. Yang, D. G. Fang, and G. E. Howard, A closed-form spatial Green's function for the thick microstrip substrate, IEEE Trans. Microwave Theory Tech., vol. 39, pp.588-592, Mar. (1991).

DOI: 10.1109/22.75309

[4] F. Ling, C. F. Wang, and J. M. Jin, An efficient algorithm for analyzing large-scale microstrip structures using adaptive integral method combined with discrete complex image method, in IEEE APS Int. Symp. Dig., vol. 3, 1998, pp.1778-1781.

DOI: 10.1109/icmmt.1998.768447

[5] L. Gurel and M. I. Aksun, Electromagnetic scattering solution of conducting strips in layered media using the fast multipole method, IEEE Microwave Guided Wave Lett., vol. 6, pp.277-279, Aug. (1996).

DOI: 10.1109/75.508552

[6] P. A. Macdonald and T. Itoh, Fast simulation of microstrip structures using the fast multipole method, Int. J. Numer. Modeling: Electron. Networks, Devices, Fields, vol. 9, pp.345-357, (1996).

DOI: 10.1002/(sici)1099-1204(199609)9:5<345::aid-jnm244>3.0.co;2-q

[7] F. Ling, J. M. Song and J. M. Jin, Multilevel fast multipole algorithm for analysis of large-scale microstrip structures, IEEE Microwave Guided Wave Lett., vol. 9, pp.508-510, Dec. (1999).

DOI: 10.1109/75.819414

[8] B. Engquist, L. X. Ying, Fast directional multilevel algorithms for oscillatory kernels, SIAM Journal on Scientific Computing, vol. 29, No. 4, pp.1710-1737, (2007).

DOI: 10.1137/07068583x

[9] H. Chen, K. W. Leung and Edward K.N. Yung, Fast directional multilevel algorithms for analyzing wave scattering, IEEE Trans. Antennas Propag., vol. 59, no. 7, July, pp.962-974, (2011).

DOI: 10.1109/tap.2011.2152354

[10] H. Chen, Efficient Analysis of Multilayer Microstrip Problems by Modified Fast Directional Multilevel Algorithm, has been accepted by Applied Computational Electromagnetics Society (ACES) Journal.

[11] F. Ling, C. F. Wang, and J. M. Jin, A fast full-wave analysis of scattering and radiation from large finite arrays of microstrip antennas, IEEE Trans. Antennas Propag., vol. 46, no. 10, pp.1467-1474, (1998).

DOI: 10.1109/8.725278