Cited By
View all- Ye ZZhu ZPhillips J(2009)Incremental large-scale electrostatic analysisIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems10.1109/TCAD.2009.203026728:11(1641-1653)Online publication date: 1-Nov-2009
Fullwave volumetric Maxwell solver using conduction modes
Pages 13 - 18
Abstract
We present a gridless method for solving the interior problem for a set of conductors in an homogeneous dielectric, at sufficiently high frequencies, valid for conductor lengths that are not small compared to the minimum wavelength, and transverse dimensions that are large compared to the skin depth. For IC applications, we cover the regime 10--100 GHz and the inclusion of all relevant wire dimensions. We decompose the Electromagnetic-field in terms of the eigenfunctions of the Helmholtz equation for three dimensional current distributions inside the conductors. Using a relatively small number of modes per conductor we obtain results comparable to filament or mesh decompositions using a much larger dimensionality for the resulting linear problem. The method is an extension to the fullwave regime of a method introduced in [1].
References
[1]
L. Daniel, A. Sangiovanni-Vincentelli, and J. White, "Using conduction modes basis functions for effficient electromagnetic analysis of on-chip and off-chip interconnect," in Design Automation Conference (DAC), 2001. Proceedings, 2001, pp. 563--566.
[2]
W. C. Chew, J.-M. Jin, E. Michielssen, and J. S. (Eds.), Fast and effficient algorithms in computational electromagnetics. Boston: Arter House, Inc., 2001.
[3]
K. Nabors and J. White, "Fastcap: a multipole accelerated 3-d capacitance extraction program," vol. 10, no. 11, pp. 1441--1459, 1991.
[4]
M. Kamon, M. J. Tsuk, and J. White, "Fasthenry: A multipole-accelerated 3-d inductance extraction program," IEEE Trans. Microwave Theory Tech., vol. 42, no. 9, pp. 1750--1758, Sept. 1994.
[5]
Z. Zhu, B. Song, and J. White, "Algorithms in fastimp: a fast and wide-band impedance extraction program for complicated 3-d geometries," vol. 24, pp. 981--998, July 2005.
[6]
J.-S. Zhao and W. C. Chew, "Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies," in Antennas and Propagation, IEEE Transactions on, vol. 48, Oct 2000, pp. 1635--1645.
[7]
X. Hu, J. H. Lee, L. Daniel, and J. White, "Analysis of full-wave conductor system impedance over substrate using novel integration techniques," in Design Automation Conference (DAC), 2005. Proceedings, 2005, pp. 147--152.
[8]
J. Jackson, Classical Electrodynamics. New York: John Wiley and Sons, Inc., 1962.
[9]
L. Daniel, "Simulation and modeling techinques for signal integrity and electromagnetic interference on high frequency electronic systems," Ph.D. dissertation, University of California at Berkeley, 2003.
[10]
W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes: The Art of Scientific Computing, 1st ed. Cambridge (UK) and New York: Cambridge University Press, 1986.
[11]
G. Golub and C. van Loan, Matrix Computations, 3rd Ed. Baltimore: The Johns Hopkins University Press, 1992.
[12]
X. Hu, L. Daniel, and J. White, "Partitioned conduction modes in surface integral equation-based impedance extraction," in Electrical Performance of Electronic Packaging, Oct 2003, pp. 355--358.
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- Fullwave volumetric Maxwell solver using conduction modes
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Published: 05 November 2006
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November 5 - 9, 2006
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View all- Ye ZZhu ZPhillips J(2009)Incremental large-scale electrostatic analysisIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems10.1109/TCAD.2009.203026728:11(1641-1653)Online publication date: 1-Nov-2009
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