Passive reduced-order modeling of electromagnetic systems

Computer Methods in Applied Mechanics and Engineering

Volumn 169, Issue 3-4, 1999, Pages 345-358

  Cangellaris, Andreas C ^a   Zhao, Li ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTER AIDED DESIGN; COMPUTER SIMULATION; MATHEMATICAL MODELS;

PASSIVE REDUCED-ORDER MODELING;

ELECTROMAGNETIC FIELDS;

EID: 0033075574     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00162-5     Document Type: Article

References (35)

1. A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Norwood, MA, 1995).
2. Y.-S. Tsuei, A.C. Cangellaris and J.L. Prince, Rigorous electromagnetic modeling of chip-to-package (first-level) interconnections, IEEE Trans. Components, Hybrids, and Manufact. Tech. 16 (1993) 876-883.
3. L.T. Pillage and R.A. Rohrer, Asymptotic waveform evaluation for timing analysis, IEEE Trans. Computer-Aided Des. CAD-9 (1990) 352-366.
4. T.K. Tang and M.S. Nakhla, Analysis of high-speed VLSI interconnects using the asymprotic waveform evaluation technique, IEEE Trans. Computer-Aided Des. CAD-11 (1992) 341-352.
5. E. Chiprout and M.S. Nakhla, Asymptotic Waveform Evaluation And Moment Matching for Interconnect Analysis (Kluwer Academic Publishers, Dordrecht, 1994).
6. S.-Y. Kim, N. Gopal and L.T. Pillage, Time-domain macromodels for VLSI interconnect analysis, IEEE Trans. Computer-Aided Des. CAD-13 (1994) 1257-1270.
7. E. Chiprout and M.S. Nakhla, Analysis of interconnect networks using complex frequency hopping (CFH), IEEE Trans. Computer-Aided Des. CAD-14 (1995) 186-200.
8. M. Celik, O. Ocali, M. Tan and A. Atalar, Pole-zero computation in microwave circuits using multipoint Padé approximation, IEEE Trans. Circuits Syst.-I: Fundamental Theory and Applications CAS-42 (1995) 6-13.
9. M. Celik and A.C. Cangellaris, Simulation of dispersive multiconductor transmission lines by Padé approximation via the Lanczos process, IEEE Trans. Microwave Theory Tech. 44 (1996) 2525-2535.
10. P. Feldmann and R.W. Freund, Efficient linear circuit analysis by Padé approximation via the Lanczos process, IEEE Trans. Computer-Aided Des. CAD-14 (1995) 639-649.
11. K.J. Kerns, I.L. Wemple and A.T. Yang, Stable and efficient reduction of substrate model networks using congruence transforms, IEEE/ACM Proc. ICCAD (1995) 207-214.
12. L.M. Silveira, M. Kamon and J. White, Efficient reduced-order modeling of frequency-dependent coupling inductances associated with 3-D interconnect structures IEEE/ACM Proc. Design Automation Conference (1995) 376-380.
13. R.F. Remis and P. Van den Berg, A modified Lanczos reduction method for the computation of transient wavefields, Proc. IEEE Antennas and Propagation Society International Symposium, Vol. 3, Baltimore, Maryland (1996) 2088-2091.
14. J.E. Bracken and Z.J. Cendes, Transient analysis via electromagnetic fast-sweep methods and circuit models, Proc. 13th Annual Review of Progress in Applied Computational Electromagnetics, Vol. I (1997) 172-179.
15. M.A. Kolbedhari, M. Nakhla, R. Achar and M. Srinivasan, Solution of EM problems using reduced-order models by complex frequency hopping, Proc. 13th Annual Review of Progress in Applied Computational Electromagnetics, Vol. I (1997) 165-171.
16. M. Celik and A.C. Cangellaris, Simulation of multiconductor transmission lines using Krylov subspace order-reduction techniques, IEEE Trans. Computer-Aided Design 16 (1997) 485-496.
17. A.C. Cangellaris and L. Zhao, Reduced-order modeling of electromagnetic systems with Padé via Lanczos approximations, Proc. 13th Annual Review of Progress in Applied Computational Electromagnetics, Vol. I (1997) 148-155.
18. R.A. Rohrer and H. Nosrati, Passivity considerations in stability studies of numerical integration algorithms, IEEE Trans, on Circuits and Systems CAS-28 (1981) 857-866.
19. K.S. Yee, Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media, IEEE Trans. Antennas Propagat. 14 (1966) 302-307.
20. D.L. Boley, Krylov space methods on state-space control models, Circuits Syst. Signal Process 13 (1994) 733-758.
21. K. Gallivan, E. Grimme and P. Van Dooren, Padé approximation of large-scale dynamic systems with Lanczos method, Proc. 33rd Conf. on Decision and Control, Buena Vista, FL (1994) 443-448.
22. P. Feldmann and R.W. Freund, Reduced-order modeling of large linear subcircuits via a Block Lanczos algorithm, IEEE/ACM Proc. Design Automation Conference (1995) 474-479.
23. A. Semlyen and A. Dabuleanu, Fast and accurate switching transient calculations on transmission lines with ground return using recursive convolutions, IEEE Trans. Power. Appl. Syst. PAS-94 (1975) 561-571.
24. W.T. Beyene and J.E. Schutt-Ainé, Accurate frequency-domain modeling and efficient circuit simulation of high-speed packaging interconnects, IEEE Trans. Microwave Theory Tech. 45 (1997) 1941-1947.
25. R.W. Newcomb, Linear Multiport Synthesis (McGraw-Hill, New York, 1966).
26. A. Odabasioglu, M. Celik and L. T. Pileggi, PRIMA: Passive reduced-order interconnect macromodeling algorithm, to appear in the 1997 Proceedings of ICCAD.
27. A.C. Cangellaris and M. Celik, Order reduction of high-speed interconnect electrical models: the issue of passivity, Proc. IEEE Symposium on IC/Package Design Integration, Santa Cruz, California, 1998.
28. R.D. Slone, A computationally efficient method for solving electromagnetic interconnect problems: The Padé approximation via the Lanczos process with an error bound, Master's Thesis, Department of Electrical Engineering, University of Kentucky, Lexington, KY, 1997.
29. L. Zhao and A.C. Cangellaris, GT-PML: Generalized theory of perfectly matched layers and its application to the reflectionless truncation of Finite-Difference Time-Domain grids, IEEE Trans. Microwave Theory Tech. 44 (1996) 2555-2563.
30. L. Zhao and A.C. Cangellaris, Reduced-order modeling of electromagnetic field interaction in unbounded domains truncated by perfectly matched layers, Microwave and Optical Technology Letters 17 (1998) 62-66.
31. G.C. Lizalek, J.R. Ruehl and J.R. Brauer, Multi-mode s-parameter computation using finite element and perfectly matched absorbers, Proc. 12th Annual Review of Progress in Applied Computational Electromagnetics, Vol. II (1996) 946-953.
32. G. Aguirre, Methodologies for modeling radiated emissions from printed circuit boards and packaged electronic systems, Ph.D. Dissertation, Department of Electrical and Computer Engineering, University of Arizona, 1996.
33. P.A. Rizzi, Microwave Engineering Passive Circuits (Prentice Hall, New Jersey, 1988).
34. D.M. Pozar, Microwave Engineering (John Wiley & Sons, Inc., New York, 1998).
35. G. Matthaei, L. Young and E.M.T. Jones, Microwave Filters, Impedance-Matching Networks, and Coupling Structures (Artech House Books, Dedham, MA, 1980).