A simple numerical experiment of Green's function expansion in the Fast Multipole Method

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A. J. Zozaya
P. Del Pino


In this paper the theoretical foundation of the fast multipole method applied to problems involving electromagnetic scattering is briefly presented, the truncation of the Green’s function expansion is revisited, and the well established truncation criteria, in terms of the relative accuracy of the solutions of the electric field integral equation, is revised from a numerical experiment. Finally, from this numerical procedure an interesting result for the number L of poles is reported.


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Zozaya, A. J., & Del Pino, P. (2017). A simple numerical experiment of Green’s function expansion in the Fast Multipole Method. Advanced Electromagnetics, 6(4), 58–62. https://doi.org/10.7716/aem.v6i4.574
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W. C. Gibson, The Method of Moments in Electromagnetics. Taylor & Francis Group, LLC, 2008.

R. C. V. Rokhlin and S. Wandzura, "The fast multipole method for the wave equation: A pedestrian prescription." IEEE Antennas and Propagation Magazine, vol. 35, pp. 7–12, 1993.

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W. C. Chew and J. M. Song., "Error analysis for the truncation of multipole expansion of vector green's functions." IEEE Microwave Wireless Components Lett., vol. 11, pp. 311–313, 1999.

J. S. C. Lu and W. C. Chew, "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects," IEEE Transactions on Antennas and Propagation, VOL. 45, NO. 10, 1997.

W. C. T. Cui and J. Song, "A faffa-mlfma algorithm for electromagnetic scattering," IEEE Transactions on Antennas and Propagation, VOL. 50, NO. 11, 2002.

T. C. W. C. G. Chen and J. Song, "Efficient mlfma, rpfma, and faffa algorithms for em scattering by very large structures," IEEE Transactions on Antennas and Propagation, VOL. 52, NO. 3, 2004.

R. F. Harrington, Time-Harmonic Electromagnetic Fields. IEEE press series on electromagnetic wave theory, 2001.

J. Stratton, Electromagnetic Theory. McGraw-Hill, 1941.

D. J. D. G.K. Carvajal and A. J. Zozaya, "Rcs estimation of 3d metallic targets using the moment method and rao-wilton-glisson basis functions," ACES Journal, vol. 24, pp. 487–492, 2009.