Capacitance Extraction in the Multilayer Medium using DCIM and SMFMA

References

• Harrington , R. F. 1993 . “ The IEEE/OUP Series on Electromagnetic Wave Theory ” . In Field Computation by Moment Methods , IEEE Press .
   Google Scholar
• Chew , W. C. , Jin , J. M. , Michielssen , E. and Song , J. M. 2001 . Fast and Efficient Algorithms in Computational Electromagnetics , Artech House, Inc .
   Google Scholar
• Nabors , K. , Kim , S. and White , J. 1992 . Fast capacitance extraction of general three-dimensional structures . IEEE Trans. Microwave Theory Tech. , 40 Jul. : 1496 – 1506 .
   Web of Science ®Google Scholar
• Jandhyala , V. , Wang , Y. , Gope , D. and Shi , R. 2002 . A surfacebased integral equation formulation for coupled electromagnetic and circuit simulation . Microwave Optical Technology Letters , 34 ( No. 2 ) July 20 : 103 – 106 .
   Google Scholar
• Chew , W. C. 1995 . Waves and Fields in Inhomogeneous Media , New York : Van Nostrand Reinhold . 1990, reprinted by IEEE Press
   Google Scholar
• Pan , Y. C. 2002 . “ Development of the fast multipole method for stratified medium ” . ECE Dept., Univ. of Illinois at Urbana-Champaign . Ph.D. thesis
   Google Scholar
• Pan , Y. C. and Chew , W. C. 2002 . A hierarchical fast-multipole method for stratified media . Microwave and Optical Technology Letters , 27 ( No. 1 ) Oct. : 13 – 17 .
   Google Scholar
• Fang , D. G. , Yang , J. J. and Delisle , G. Y. 1988 . Discrete image theory for horizontal electric dipoles in a multilayered medium . Proc. Inst. Elec. Eng. , 135 : 297 – 303 . pt. H
   Google Scholar
• Chow , Y. L. , Yang , J. J. and Howard , G. E. 1991 . Complex images for electrostatic field computation in multilayered me . IEEE Trans. MTT , 39 ( No. 7 ) Jul. : 1120 – 1125 .
   Google Scholar
• Aksun , M. I. 1996 . A robust approach for the derivation of closed-form Green’s functions . IEEE Trans. MTT , 44 ( No. 5 ) May. : 651 – 658 .
   Web of Science ®Google Scholar
• Epton , M. A. and Dembart , B. 1995 . Multipole translation theory for the three-dimensional laplace and Helmholtz equations . SIAM J. Sci. Comput. , 16 ( No. 4 ) Jul. : 865 – 897 .
   Google Scholar
• Greengard , L. 1987 . The Rapid Evaluation of Potential Fields in Particle Systems , MIT Press .
   Google Scholar
• Pan , Y. C. , Chew , W. C. and Wan , L. X. 2001 . A fast multipolemethod-based calculation of the capacitance matrix for multiple conductors above stratified dielectric media . IEEE Trans. on MTT , 49 ( No. 3 ) Mar. : 480 – 490 .
   Google Scholar
• Wittmann , R. C. 1988 . Spherical wave operators and the translation formulas . IEEE Trans. on Antenna and Propagation , 36 ( No. 8 ) Aug. : 1078 – 1087 .
   Google Scholar
• Press , W. H. , Teukolsky , S. A. , Vetterling , W. T. and Flannery , B. P. 1992 . Numerical Recipes in C: the Art of Scientific Computing , 2nd Edition , Cambridge Univ. Press .
   Google Scholar
• Sarkar , T. K. and Pereira , O. 1995 . Using the matrix pencil method to estimate the parameters of a sum of complex exponentials . IEEE Antennas and Propagation Magazine , 37 ( No. 1 ) Feb. : 48 – 55 .
   Google Scholar
• Hua , Y. B. and Sarkar , T. K. 1989 . Generalized pencil-of-function method for extracting poles of an EM system from its transient response . IEEE Trans. on Antennas and Propagation , 37 ( No. 2 ) Feb. : 229 – 234 .
   Google Scholar
• Hua , Y. B. and Sarkar , T. K. 1990 . Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise . IEEE Trans. Acoustics, Speech and Signal Processing , 38 ( No. 5 ) May : 814 – 824 .
   Google Scholar