Improved Augmented Electric Field Integral Equation Method for Modeling Micro-Scale Structures

References

• Andriulli , F. P. , Cools , K. , Bagěi , H. , Olyslager , F. , Buffa , A. , Christiansen , S. and Michielssen , E. 2008 . A multiplicative Calderón preconditioner for the electric field integral equation . IEEE Trans. Antennas Propagat. , 56 : 2398 – 2412 .
   Google Scholar
• Benzi , M. , Golub , G. H. and Liesen , J. 2005 . Numerical solution of saddle point problems . Acta Numer. , 14 : 1 – 137 .
   Google Scholar
• Buffa , A. and Christiansen , S. 2007 . A dual finite element complex on the barycentric refinement . Math. Comput. , 76 : 1743 – 1769 .
   Google Scholar
• Chen , Y. P. , Jiang , L. , Qian , Z.-G. and Chew , W. C. 2011 . An augmented electric field integral equation for layered medium Green's function . IEEE Trans. Antennas Propagat. , 59 : 960 – 968 .
   Google Scholar
• Chew , W. C. , Tong , M. S. and Hu , B. 2009 . Integral equations for electromagnetic and elastic waves Morgan & Claypool Publishers. . chap. 3
   Google Scholar
• Ergül , O. and Gürel , L. 2008 . Efficient parallelization of the multilevel fast multipole algorithm for the solution of large-scale scattering problems . IEEE Trans. Antennas Propagat. , 56 : 2335 – 2345 .
   Google Scholar
• Golub , G. H. and Van Loan , C. F. 1996 . Matrix computations, , 3rd ed. Baltimore , MD : Johns Hopkins University Press. . chaps. 3 and 10
   Google Scholar
• Harrington , R. H. 1993 . Field computation by moment methods New York : IEEE Press. . chap. 1
   Google Scholar
• Mie , G. 1908 . Beiträge zur optik trüber medien, speziell kolloidaler metallösungen . Ann. Phys. , 25 : 377 – 445 .
   Google Scholar
• Qian , Z. G. and Chew , W. C. 2008 . An augmented EFIE for high speed interconnect analysis . Microw. Opt. Tech. Lett. , 50 : 2658 – 2662 .
   Google Scholar
• Qian , Z. G. and Chew , W. C. 2009 . Fast full-wave surface integral equation solver for multiscale structure modelling . IEEE Trans. Antennas Propagat. , 57 ( 11 ) : 3594 – 3601 .
   Google Scholar
• Rao , S. M. , Wilton , D. R. and Glisson , A. W. 1982 . Electromagnetic scattering by surface of arbitrary shape . IEEE Trans. Antennas Propagat. , 30 : 409 – 418 .
   Web of Science ®Google Scholar
• Sarkar , J. T. K. , Arvas , E. and Rao , S. M. 1986 . Application of FFT and the conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies . IEEE Trans. Antennas Propagat. , 34 : 635 – 640 .
   Web of Science ®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 Propag. , 45 : 1488 – 1493 .
   Web of Science ®Google Scholar
• Taskinen , M. and Ylä-Oijala , P. 2006 . Current and charge integral equation formulation . IEEE Trans. Antennas Propagat. , 54 : 58 – 67 .
   Web of Science ®Google Scholar
• Vecchi , G. 1999 . Loop-star decomposition of basis functions in the discretizaiton of the EFIE . IEEE Trans. Antennas Propagat. , 47 : 339 – 346 .
   Web of Science ®Google Scholar
• Wilton , D. R. and Glisson , A. W. On improving the electic field integral equation at low frequencies . URSI Radio Science Meeting Digest . June 15–19 , Los Angeles , CA .
   Google Scholar
• Zhao , J. S. and Chew , W. C. 2000 . Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies . IEEE Trans. Antennas Propagat. , 48 : 1635 – 1645 .
   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 problems . IEEE Trans. Electromagn. Compat. , 47 : 763 – 773 .
   Web of Science ®Google Scholar