A Hybrid Fast Dipole Method and Adaptive Modified Characteristic Basis Function Method for Electromagnetic Scattering from Perfect Electric Conducting Targets

References

• Coifman , R. , Rokhlin , V. and Wandzura , S. 1993 . “ The fast multipole method for the wave equation: A pedestrian prescription ” . In IEEE Ant. Propag. Mag. Vol. 35 , 7 – 12 .
   Google Scholar
• Song , J. M. , Lu , C. C. and Chew , W. C. 1997 . Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects . IEEE Trans. Antennas Propagat. , 45 : 1488 – 1493 .
   Web of Science ®Google Scholar
• Ergül , ¨ O. and and Gürel , L. 2010 . “ Efficient solutions of metamaterial problems using a low-frequency multilevel fast multipole alagorithm ” . In Progress In Electromagnetics Research Vol. 108 , 81 – 99 .
   Google Scholar
• Gürel , L. , Ergül , Ö. , Ünal , A. and Malas , T. 2009 . Fast and accurate analysis of large metamaterial structures using the multilevel fast multipole algorithm . Progress In Electromagnetics Research , 95 : 179 – 198 .
   Web of Science ®Google Scholar
• Ergül , Ö. , Malas , T. and Gürel , L. 2010 . Solutions of largescale electromagnetics problems using an iterative inner-outer scheme with ordinary and approximate multilevel fast multipole algorithms . Progress In Electromagnetics Research , 106 : 203 – 223 .
   Web of Science ®Google Scholar
• Bleszynski , E. , Bleszynski , M. and Jaroszewicz , T. 1996 . AIM: Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems . Radio Sci. , 31 ( No. 5 ) : 1225 – 1251 .
   Web of Science ®Google Scholar
• Hu , L. , Li , L.-W. and Yeo , T.-S. 2009 . Analysis of scattering by large inhomogeneous bi-anisotropic objects using AIM . Progress In Electromagnetics Research , 99 : 21 – 36 .
   Web of Science ®Google Scholar
• Phillips , J. R. and White , J. K. 1997 . A precorrected-FFT method for electrostatic analysis of complicated 3-D structures . IEEE Trans. Computer-Adided Design Integr. Circuits Syst. , 16 : 1059 – 1072 .
   Web of Science ®Google Scholar
• Zhao , K. , Vouvakis , M. N. and Lee , J.-F. 2005 . The adaptive cross approximation algorithm for accelerated method of moments computations of EMC . IEEE Trans. Electromagn. Compat. , 47 ( No. 4 ) : 763 – 773 .
   Web of Science ®Google Scholar
• Tsang , L. and Li , Q. 2004 . Wave scattering with UV multilevel partitioning method for volume scattering by discrete scatters . Microw. Opt. Tech. Lett. , 41 ( No. 5 ) : 354 – 361 .
   Google Scholar
• Shi , Y. and Chan , C. H. 2009 . Solution to electromagnetic scattering by bi-isotropic media using multilevel Green’s function interpolation method . Progress In Electromagnetics Research , 97 : 259 – 274 .
   Web of Science ®Google Scholar
• Shi , Y. , Luan , X. , Qin , J. , Lv , C. and Liang , C. H. 2010 . Multilevel Green’s function interpolation method solution of volume/surface integral equation for mixed conducting/bi-isotropic objects . Progress In Electromagnetics Research , 107 : 239 – 252 .
   Web of Science ®Google Scholar
• Taboada , J. M. , Ara?ujo , M. G. , Bértolo , J. M. , Landesa , L. , Obelleiro , F. and Rodriguez , J. L. 2010 . MLFMA-FFT parallel algorithm for the solution of large-scale problems in electromagnetics . Progress In Electromagnetics Research. , 105 : 15 – 30 .
   Web of Science ®Google Scholar
• Lu , W. B. , Cui , J.T. , Qian , Z. G. , Yin , X. X. and Hong , W. 2004 . Accurate analysis of large-scale periodic structures using an efficient sub-entire-domain basis function method . IEEE Trans. Antennas Propagat. , 52 ( No. 11 ) : 3078 – 3085 .
   Google Scholar
• Matekovits , L. , Laza , V. A. and Vecchi , G. 2007 . Analysis of large complex structures with the synthetic-functions approach . IEEE Trans. Antennas Propagat. , 55 ( No. 9 ) : 2509 – 2521 .
   Google Scholar
• Zhang , B. , Xiao , G. B. , Mao , J. F. and Wang , Y. 2010 . Analyzing largescale non-periodic arrays with synthetic basis functions . IEEE Trans. Antennas Propagat. , 58 ( No. 11 ) : 3576 – 3584 .
   Google Scholar
• Li , M. K. and Chew , W. C. 2008 . Multiscale simulation of complex structures using equivalence principle algorithm with high-order field point sampling scheme . IEEE Trans. Antennas Propagat. , 56 ( No. 8 ) : 2389 – 2397 .
   Google Scholar
• Yla-Oijala , P. and Taskinen , M. 2009 . Electromagnetic scattering by large and complex structures with surface equivalence principle algorithm . Waves in Random and Complex Media , 19 ( No. 1 ) : 105 – 125 .
   Google Scholar
• Lancellotti , V. , de Hon , B. P. and Tijhuis , A. G. 2009 . An eigencurrent approach to the analysis of electrically large 3-D structures using linear embedding via Green’s operators . IEEE Trans. Antennas Propag. , 57 ( No. 11 ) : 3575 – 3585 .
   Google Scholar
• Prakash , V. V. S. and and Mittra , R. 2003 . Characteristic basis function method: A new technique for efficient solution of method of moments matrix equation . Microw. Opt. Tech. Lett. , 36 ( No. 2 ) : 95 – 100 .
   Google Scholar
• Lucente , E. , Monorchio , A. and Mittra , R. 2008 . An iteration-free MoM approach based on excitation independent characteristic basis functions for solving large multiscale electromagnetic scattering problems . IEEE Trans. Antennas Propagat. , 56 ( No. 4 ) : 999 – 1007 .
   Google Scholar
• Laviada-Martinez , J. , Ayestar?an , R. G. , Pino , M. R. , Las-Heras Andrés , F. and Mittra , R. 2009 . “ Synthesis of phased arrays in complex environments with the multilevel characteristic basis function method ” . In Progress In Electromagnetics Research Vol. 92 , 347 – 360 .
   Google Scholar
• Mittra , R. and Du , K. 2008 . “ Characteristic basis function method for iteration-free solution of large method of moments problems ” . In Progress In Electromagnetics Research B Vol. 6 , 307 – 336 .
   Google Scholar
• Garc?ıa , E. , Delgado , C. , Diego , I. G. and C?atedra , M. F. 2008 . An iterative solution for electrically large problems combining the characteristic basis function method and the multilevel fast multipole algorithm . IEEE Trans. Antennas Propagat. , 56 ( No. 8 ) : 2363 – 2371 .
   Web of Science ®Google Scholar
• Hu , L. , Li , L. W. and Mittra , R. 2010 . Electromagnetic scattering by finite periodic arrays using the characteristic basis function and adaptive integral methods . IEEE Trans. Antennas Propagat. , 58 ( No. 9 ) : 3086 – 3090 .
   Google Scholar
• Maaskant , R. and Mittra , R. 2008 . Fast analysis of large antenna arrays using the characteristic basis function method and the adaptive cross approximation algorithm . IEEE Trans. Antennas Propagat. , 56 ( No. 11 ) : 3440 – 3451 .
   Google Scholar
• Sun , Y. F. , Chan , C. H. , Mittra , R. and Tsang , L. 2003 . “ Characteristic basis function method for solving large problems arising in dense medium scattering ” . In IEEE Antennas Propag. Soc. Int. Symp 1068 – 1071 . Columbus
   Google Scholar
• Han , G. D. and Gu , C. Q. 2007 . A hybrid QR factorization with dual-MGS and adaptively modified characteristic basis function method for electromagnetic scattering analysis . Microw. Opt. Tech. Lett. , 49 ( No. 11 ) : 2879 – 2883 .
   Web of Science ®Google Scholar
• Yuan , J. D. , Gu , C. Q. and Han , G. D. 2009 . A hybrid equivalent dipole moment and adaptive modified characteristic basis function method for electromagnetic scattering by multilayered dielectric bodies . International Journal of RF and Microwave Computeraided Engineering , 19 ( No. 6 ) : 685 – 691 .
   Google Scholar
• Chen , X. L. , Gu , C. Q. , Niu , Z. Y. and Li , Z. Fast dipole method for electromagnetic scattering from perfect electric conducting targets . to be published in IEEE Trans. Antennas Propag. ,
   Google Scholar
• Yeo , J. , K¨oksoy , S. , Prakash , V. V. S. and Mittra , R. 2004 . Efficient generation of method of moments matrices using the characteristic function method . IEEE Trans. Antennas Propag. , 52 ( No. 12 ) : 3405 – 3410 .
   Web of Science ®Google Scholar
• Yuan , J. D. , Gu , C. Q. and Han , G. D. 2009 . Efficient generation of method of moments matrices using equivalent dipole-moment method . IEEE Antennas and Wireless Propag. Lett. , 8 : 716 – 719 .
   Web of Science ®Google Scholar
• Rao , S. M. , Wilton , D. R. and Glisson , A. W. 1982 . Electromagnetic scattering by surfaces of arbitrary shape . IEEE Trans. Antennas Propag. , 30 ( No. 3 ) : 409 – 418 .
   Web of Science ®Google Scholar