Fast capacitance extraction in multilayer, conformal and embedded dielectric using hybrid boundary element method

作者: Ying Zhou , Zhuo Li , Weiping Shi

DOI: 10.1145/1278480.1278687

关键词: CapacitanceGround planeMaterials scienceBoundary (topology)Conformal mapDielectricElectronic engineeringSpeedupTopologyBoundary element methodBoundary value problem

摘要: In modern VLSI circuits, metal conductors are separated by multiple planar, conformal or embedded dielectric media. Previous algorithms based on Boundary Element Method (BEM) inefficient to extract interconnect capacitance due the complex structures. this paper, we present a new algorithm that combines multilayer Green's function with equivalent charge method efficiently deal dielectrics. The is efficient model layered media, while powerful non-planar dielectric. Our can also ground plane and reflective boundary wall. From experimental results, significantly faster than previous methods in realistic conditions, i.e., 70X speedup 99% memory saving compared FastCap 2X 80% PHiCap for structure similar accuracy.

参考文章(13)
T.K. Sarkar, R.F. Harrington, The Electrostatic Field of Conducting Bodies in Multiple Dielectric Media IEEE Transactions on Microwave Theory and Techniques. ,vol. 32, pp. 1441- 1448 ,(1984) , 10.1109/TMTT.1984.1132869
Lawrence T. Pileggi, Michael W. Beattie, Electromagnetic parasitic extraction via a multipole method with hierarchical refinement international conference on computer aided design. pp. 437- 444 ,(1999) , 10.5555/339492.340055
Cao Wei, R.F. Harrington, J.R. Mautz, T.K. Sarkar, Multiconductor Transmission Lines In Multilayered Dielectric Media IEEE Transactions on Microwave Theory and Techniques. ,vol. 32, pp. 439- 450 ,(1984) , 10.1109/TMTT.1984.1132696
Johannes Tausch, Jacob White, A multiscale method for fast capacitance extraction design automation conference. pp. 537- 542 ,(1999) , 10.1145/309847.309994
Zhenhai Zhu, Ben Song, Jacob White, Algorithms in FastImp: a fast and wideband impedance extraction program for complicated 3-D geometries design automation conference. pp. 712- 717 ,(2003) , 10.1145/775832.776015
R. Crampagne, M. Ahmadpanah, J.-L. Guiraud, A Simple Method for Determining the Green's Function for a Large Class of MIC Lines Having Multilayered Dielectric Structures IEEE Transactions on Microwave Theory and Techniques. ,vol. 26, pp. 82- 87 ,(1978) , 10.1109/TMTT.1978.1129317
Jinsong Zhao, Wayne W. M. Dai, Sharad Kapur, David E. Long, Efficient three-dimensional extraction based on static and full-wave layered Green's functions design automation conference. pp. 224- 229 ,(1998) , 10.1145/277044.277103
Wenlian, Zhengfan Li, Junfa Mao, Parameter extraction for on-chip interconnects by double-image Green's function method combined with hierarchical algorithm IEEE Transactions on Microwave Theory and Techniques. ,vol. 53, pp. 2416- 2423 ,(2005) , 10.1109/TMTT.2005.850431
K.A. Michalski, J.R. Mosig, Multilayered media Green's functions in integral equation formulations IEEE Transactions on Antennas and Propagation. ,vol. 45, pp. 508- 519 ,(1997) , 10.1109/8.558666