Numerical techniques for extracting geometrically parameterized reduced order interconnect models from full-wave electromagnetic analysis

In this paper we give a fairly abstract description of a projection approach for generating geometrically parameterized reduced-order models directly from the numerical solution of Maxwell's equations. The method is without much justification, so a spiral inductor example is given to motivate further study.

[1]  J. Peraire,et al.  Balanced Model Reduction via the Proper Orthogonal Decomposition , 2002 .

[2]  Andrew T. Yang,et al.  Stable and efficient reduction of substrate model networks using congruence transforms , 1995, Proceedings of IEEE International Conference on Computer Aided Design (ICCAD).

[3]  A. Ruehli.  Equivalent Circuit Models for Three-Dimensional Multiconductor Systems , 1974 .

[4]  Mattan Kamon,et al.  A coordinate-transformed Arnoldi algorithm for generating guaranteed stable reduced-order models of RLC circuits , 1999 .

[5]  Lawrence T. Pileggi,et al.  PRIMA: passive reduced-order interconnect macromodeling algorithm , 1998, 1997 Proceedings of IEEE International Conference on Computer Aided Design (ICCAD).

[6]  Jacob K. White,et al.  Geometrically parameterized interconnect performance models for interconnect synthesis , 2002, ISPD '02.

[7]  Roland W. Freund,et al.  Reduced-Order Modeling of Large Linear Subcircuits via a Block Lanczos Algorithm , 1995, 32nd Design Automation Conference.

[8]  I. Elfadel,et al.  A block rational Arnoldi algorithm for multipoint passive model-order reduction of multiport RLC networks , 1997, ICCAD 1997.

[9]  J. Eric Bracken,et al.  Characterization of electromagnetic devices via reduced-order models , 1999 .

[10]  P. Dooren,et al.  Asymptotic Waveform Evaluation via a Lanczos Method , 1994 .

[11]  D. Rovas,et al.  Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods , 2002 .

[12]  Joel R. Phillips,et al.  Model order reduction for strictly passive and causal distributed systems , 2002, DAC '02.

[13]  Mattan Kamon,et al.  FastPep: a fast parasitic extraction program for complex three-dimensional geometries , 1997, ICCAD 1997.

[14]  Massoud Pedram,et al.  Model reduction of variable-geometry interconnects using variational spectrally-weighted balanced truncation , 2001, IEEE/ACM International Conference on Computer Aided Design. ICCAD 2001. IEEE/ACM Digest of Technical Papers (Cat. No.01CH37281).

[15]  Stephen P. Boyd,et al.  Optimization of inductor circuits via geometric programming , 1999, DAC '99.

[16]  Andreas C. Cangellaris,et al.  Passive reduced-order modeling of electromagnetic systems , 1999 .

[17]  Kyle A. Gallivan,et al.  A method for generating rational interpolant reduced order models of two-parameter linear systems , 1999 .

[18]  Lawrence T. Pileggi,et al.  Moment-sensitivity-based wire sizing for skew reduction in on-chip clock nets , 1997, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[19]  Lawrence T. Pileggi,et al.  PRIMA: passive reduced-order interconnect macromodeling algorithm , 1997, ICCAD 1997.