Method and computer program product for stable integral equation

Details Method and computer program product for stable integral equation Method and computer program product for stable integral equation

1997-01-14

1998-10-20

Voeltz, Emanuel Todd

Data processing: measuring, calibrating, or testing

Measurement system in a specific environment

Electrical signal parameter measurement system

702 57, 364489, G06G 719

Patent

active

058262156

ABSTRACT:
A method and computer program product are provided for implementing a stable integral equation model for both the time and frequency domains. The stabilization method of the invention is applicable to electric field integral equation (EFIE) formulations, to magnetic field integral equation (MFIE) formulations, and to combined field integral equation (CFIE) formulations. For example, an EFIE formulation can be used in the circuit domain called partial element equivalent circuit (PEEC). Each volume cell is subdivided into a finite number of partitions. A partial inductance term is calculated consisting of a summation over all the finite number of partitions in each cell. Each surface cell is subdivided into a finite number of subcells. A coefficient of potential term is calculated consisting of a summation over all the finite number of subcells in each surface cell. Both the partial inductances and the coefficients of potential are calculated without increasing the number of unknowns. In addition, a damping resistor is added in parallel to the calculated partial inductance in each cell to reduce unwanted resonances outside the useful frequency range.

REFERENCES:
A.E. Ruehli, "Equivalent Circuit Models for Three Dimensional Multiconductor Systems," IEEE Transactions on Microwave Theory and Techniques, MTT-22(3):216-221, Mar. 1974.
Rubin et al., "Radiation and Scattering from Structures Involving Finite-Size Dielectric Regions," IEEE Transactions on Antennas and Propagation, 38(11):1863-1873, Nov. 1990.
Garrett et al., "Efficient Frequency Domain Solutions for SPEEC EFIE for Modeling 3d Geometries," Proc. of the Intl. Zurich Symp. on Electromagnetic Compatibility, pp. 179-184, Zurich, Switzerland, Mar., 1995.
Weeks et al., "Algorithms for ASTAP--A Network Analysis Program", IEEE Transactions on Circuits Theory, CT-20(11):628-634, Nov. 1973.
Gomez et al., "Time-Domain Integral Equation Methods for Transient Analysis", IEEE Antenna and Propagation Magazine, 34(3):15-22, Jun. 1992.
Sadigh et al., "Treating the Instabilities in Marching-on-in-Time Method from a Different Perspective", IEEE Transactions on Antennas and Propagation, APP-41(12):1695-1702, Dec. 1993.
Ruehli et al., "Stability of Discretized Partial Element Equivalent EFIE Circuit Models", IEEE Transactions on Antennas and Propagation, 43(6): 553-559, Jun. 1995.
B.P. Rynne, "Comments on `A Stable Procedure to Calculate the Transient Scattering by Conducting Surfaces of Arbitrary Shape`", IEEE Transactions on Antennas and Propagation, 41(4):517-520, Apr. 1993.
Ruehli et al., "Circuit Models for 3D Structures with Incident Fields", Proc. of the IEEE Int. Symp. on Electromagnetic Compatibility, pp. 28-31, Dallas, Texas, Aug. 1993.
Ruehli et al., "Circuit Models for Three-Dimensional Geometries Including Dielectrics," IEEE Transactions on Microwave Theory and Techniques, MTT-40(7):1507-1516, Jul. 1992.
Garrett et al., "PEECE-EFIE for Modeling 3D Geometries with Lossy Inhomogeneous Dielectrics and Incident Fields," IBM Research Report RC 19245 (#83733), IBM T.J. Watson Res. Ctr., Yorktown Hts., Oct. 1993.
Rynne et al., "Stability of time Marching Algorithms for Electric Field Integral Equations," Journal of Electromagnetic Waves and Applications, JEWA-4(12):1181-1205, Dec. 1990.
Adve et al. "Extrapolation of Time Domain Responses from Three Dimensional Conducting Objects Utilizing the Matrix Pencil Technique," IEEE Transactions on Antennas and Propagation, submitted for publication.
A.E. Ruehli, "Inductance Calculations in a Complex Integrated Circuit Environment," IBM Journal of Research and Development,16(5):470-481, Sep. 1972.
L.W. Nagel, "SPICE: A computer Program to Simulate Semiconductor Circuits", Electr. Res. Lab. Report ERL M520, Univ. of CA, Berkeley, May 1975.
Rao et al., "The Application of the Conjugate Gradient Method to the Solution of Transient Electromagnetic Scattering from Thin Wires," Radio Science, vol. 19, No. 5, pp. 1319-1326 (Sep.-Oct. 1984).
Miller et al., "Direct Time-Domain Techniques for Transient Radiation and Scattering from Wires", Proc. of the IEEE, vol. 68, No. 11; pp. 1396-1423 (Nov. 1980).

Affiliated with

Also associated with

Rating

Method and computer program product for stable integral equation does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Method and computer program product for stable integral equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Method and computer program product for stable integral equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFUS-PAI-O-259728