A VSIE Solution for EM Scattering Using the Multilevel Complex Source Beam Method
Keywords:
Electromagnetic scattering, multilevel complex source beam, volume-surface integral equationAbstract
Multilevel complex source beam (CSB) method is introduced to accelerate the volume-surface integral equation (VSIE) for the analysis of electromagnetic scattering from the composite structures comprising conductor and dielectric material. The field generated by each basis function or testing function is expressed by use of the equivalent point source defined over the complex sphere. The far interactions between basis functions and testing functions are replaced by the interactions between complex point sources, which can be calculated efficiently by taking advantage of the directionality of the complex point sources. The translation invariance property of Green’s function is exploited to further improve efficiency. In numerical examples, the number of CSBs and truncation angle are given for each level, and the computational efficiency of the proposed method is validated by comparison with the conventional VSIE method.
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P. L. Huddleston, L. N. Medgyesi-Mitschang, and J. M. Putnam, “Combined field integral equation formulation for scattering by dielectrically coated conducting bodies,” IEEE Trans. Antennas Propag., vol. 34, no. 4, pp. 510-520, Apr. 1986.
K. C. Donepudi, J-M. Jin, and W. C. Chew, “A higher order multilevel fast multipole algorithm for scattering from mixed conducting/dielectric bodies,” IEEE Trans. Antennas Propag., vol. 51, no. 10, pp. 2814-2821, Oct. 2003.
P. Yla-Oijala and M. Taskinen, “Well-conditioned Muller formulation for electromagnetic scattering by dielectric objects,” IEEE Trans. Antennas Propag., vol. 53, no. 10, pp. 3316-3323, 2005.
P. Yla-Oijala and M. Taskinen, “Application of combined field integral equation for electromagnetic scattering by dielectric and composite objects,” IEEE Trans. Antennas Propag., vol. 53, no. 3, pp. 1168-1173, 2005.
P. Ylä-Oijala, M. Taskinen, and J Sarvas, “Multilayered media Green’s functions for MPIE with general electric and magnetic sources by the Hertz potential approach,” Progress In Electromagnetics Research, vol. 33, pp. 141-165, 2001.
C. C. Lu and W. C. Chew, “A coupled surfacevolume integral equation approach for the calculation of electromagnetic scattering from composite metallic and material targets,” IEEE Trans. Antennas Propagat., vol. 48, pp. 1866-1868, 2000.
C. Luo and C. C. Lu, “Electromagnetic scattering computation using a hybrid surface and volume integral equation formulation,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 22, no. 3, pp. 340-349, 2007.
J. M. Song and W. C. Chew, “Fast multipole method solution using parametric geometry,” Microwave and Optical Technology Letters, vol. 7, no. 16, pp. 760-765, 1994.
J. M. Song, C. C. Lu, and W. C. Chew, “Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects,” IEEE Trans. Antennas Propag., vol. 45, pp. 1488-1493, 1997. [10] D. Z. Ding, S. F. Tao, and R. S. Chen, “Fast analysis of finite and curved frequency-selective surfaces using the VSIE with MLFMA,” International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, vol. 24, no. 5, pp. 425-436, 2011.
E. Bleszynski, M. Bleszynski, and T. Jaroszewicz, “AIM: adaptive integral method for solving largescale electromagnetic scattering and radiation problems,” Radio Sci., vol. 31, pp. 1225-1251, 1996.
K. Zhao, M. N. Vouvakis, and J. F. Lee, “The adaptive cross approximation algorithm for accelerated method of moments computations of EMC problems,” IEEE Transactions on Electromagnetic Compatibility, vol. 47, no. 4, pp. 763-773, 2005.
J. M. Tamayo, A. Heldring, and J. M. Rius, “Multilevel adaptive cross approximation (MLACA),” IEEE Trans. Antennas Propag., vol. 59, no. 12, pp. 4600-4608, Feb. 2004.
Z. N. Jiang, R. S. Chen, Z. H. Fan, Y. Y. An, M. M. Zhu, and K. W. Leung, “Modified adaptive cross approximation algorithm for analysis of electromagnetic problems,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 26, no. 2, pp. 160-169, 2011.
K. Tap, Complex Source Point Beam Expansions for Some Electromagnetic Radiation and Scattering Problems, Ph.D. dissertation, Ohio State Univ., Columbus, OH, USA, 2007.
K. Tap, P. H. Pathak, and R. J. Burkholder, “Complex source beam-moment method procedure for accelerating numerical integral equation solutions of radiation and scattering problems,” IEEE Trans. Antennas Propagat., vol. 62, pp. 2052-2062, 2014.
D. Z. Ding, Z. H. Fan, S. F. Tao, and R. S. Chen, “Complex source beam method for EM scattering from PEC objects,” Antennas and Wireless Propagation Letters, vol. 14, pp. 346-349, 2015.
Z. H. Fan, X. Hu, and R. S. Chen, “Multilevel complex source beam method for electromagnetic scattering problems,” Antennas and Wireless Propagation Letters, vol. 14, pp. 843-846, 2015.
D. H Schaubert, D. R. Wilton, and A. W. Glisson, “A tetrahedral modeling method for electromagnetic scattering by arbitrarily shaped inhomogeneous dielectric bodies,” IEEE Trans. Antennas Propag., vol. 32, pp. 77-85, 1984.
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.
