An Interpolation Scheme for Green’s Function and its Application in Method of Moment
关键词:
Green’s function, impedance matrix, interpolation scheme, method of moment摘要
An interpolation scheme is put forward to accelerate the calculation of free space Green’s function. Through theoretical analysis, a universal rule on how to build value lists for the phase item of Green’s function is discussed. And this rule can guarantee accuracy of the interpolation scheme. Accuracy and efficiency of the scheme are verified in the calculation of impedance matrix for method of moment. Besides, this scheme can also be applied to other applications which contain the calculation of Green’s functions and is especially useful for the analysis of large scale problems. Moreover, this scheme can be combined with other existing improved approaches of method of moment.
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参考
C. Tai, Dyadic Green Functions in Electromagnetic Theory. 2 nd , IEEE Press, 1994.
V. I. Okhmatovski and A. C. Cangellaris, “A new technique for the derivation of closed-form electromagnetic Green’s functions for unbounded planar layered media,” IEEE Trans. Antennas Propag., vol. 50, pp. 1005-1016, July 2002.
S. M. Jeffrey, J. C. Peter, J. H. Michael, and W. W. Aihua, “A Green’s function approach to calculate scattering width for cylindrical cloaks,” Applied Computational Electromagnetics Society, vol. 25, no. 2, Feb. 2010.
B. Honarbakhsh and A. Tavakoli, “A closed-form spatial Green’s function for the thick microstrip substrate: The meshless interpolation approach,” Applied Computational Electromagnetics Society, vol. 28, no. 2, Feb. 2013.
R. F. Harrington, Field Computation by Moment Method. New York: Macmillan, 1968.
N. Engheta, W. D. Murphy, V. Rokhlin, and M. S. Vassilion, “The fast multipole method (FMM) for electromagnetic scattering problems,” IEEE Trans. Antennas Propag., vol. 40, no. 6, pp. 634-644, June 1992.
J. M. Song and W. C. Chew, “Multilevel fast multipole algorithm for solving combined field integral equations of electromagnetic scattering,” Microwave Opt. Tech. Lett., vol. 10, no. 1, pp. 14- 19, Sep. 1995.
J. M. Song, C. C. Lu, and W. C. Chew, “MLFMA for electromagnetic scattering from large complex objects,” IEEE Trans. Antennas Propag., vol. 45, pp. 1488-1493, Oct. 1997.
J. M. Rius, J. Parron, E. Ubeda, et al., “Multilevel matrix decomposition algorithm for analysis of electrically large electromagnetic problems in 3- D,” Microwave Opt. Tech. Lett., vol. 22, no. 3, pp. 15-26, 1999.
K. F. Sabet, J. C. Cheng, and L. P. B. Katehi, “Efficient wavelet-based modeling of printed circuit antenna arrays,” IET Microwave, Antennas & Propagation, vol. 146, pp. 289-304, 1999.
F. X. Canning, “Improved impedance matrix localization method,” IEEE Trans. Antennas Propag., vol. 41, no. 5, pp. 659-667, 1993.
H. H. Hu and Y. F. Sun, “A fast efficient method for computing impedance matrix,” Journal of Hefei University of Technology, vol. 34, no. 4, Apr. 2011. (In Chinese).
Y. L. Xu, Y. Hu, et al., “Scattering analysis of periodic composite metallic and dielectric structures with synthetic basis functions,” Applied Computational Electromagnetics Society, vol. 30, no. 10, Oct. 2015.
S. M. Rao, D. R. Wilton, and A. W. Glisson, “Electromagnetic scattering by surfaces of arbitrary shape,” IEEE Trans. Antennas Propag., vol. AP30, pp. 409-418, May 1982.
Y. Kamen and L. Shirman, “Triangle rendering using adaptive subdivision,” IEEE Computer Graphics and Applications, pp. 95-103, Mar.-Apr. 1998.
