Application of the conjugate gradient technique to stripline packaging problems

Xing Wang, Zhaohui Zhu, Yi Cao, Steven L Dvorak, John L. Prince

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In most applications the Method of Moments (MoM) generates full reaction matrices. However, in this paper, we demonstrate that sparse reaction matrices are produced when modeling stripline interconnects. This is demonstrated by investigating the sparse nature of the MoM reaction matrices that are produced when using the Full-Wave Layered Interconnect Simulator (UA-FWLIS) with a parallel-plate Green's function. In order to explain the sparse nature of the reaction matrices, the electric fields that are excited by horizontal and vertical electric dipole sources are briefly overviewed. Then the variations of the reaction elements with distance are studied, and this information is used to provide a cut-off criterion for the reaction element calculations. We found that by applying sparse matrix storage techniques and a sparse matrix solver, the matrix solution time is dramatically improved when compared with a commercial MoM-based simulator.

Original languageEnglish (US)
Title of host publicationProceedings - 10th IEEE Workshop on Signal Propagation on Interconnects, SPI 2006
Pages17-20
Number of pages4
DOIs
StatePublished - 2007
Event10th IEEE Workshop on Signal Propagation on Interconnects, SPI 2006 - Hannover, Germany
Duration: May 9 2006May 12 2006

Other

Other10th IEEE Workshop on Signal Propagation on Interconnects, SPI 2006
CountryGermany
CityHannover
Period5/9/065/12/06

Fingerprint

packaging
Packaging
gradients
method of moments
Method of moments
matrices
simulators
Simulators
parallel plates
electric dipoles
Green's function
Green's functions
cut-off
Electric fields
electric fields

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Wang, X., Zhu, Z., Cao, Y., Dvorak, S. L., & Prince, J. L. (2007). Application of the conjugate gradient technique to stripline packaging problems. In Proceedings - 10th IEEE Workshop on Signal Propagation on Interconnects, SPI 2006 (pp. 17-20). [4069389] https://doi.org/10.1109/SPI.2006.289174

Application of the conjugate gradient technique to stripline packaging problems. / Wang, Xing; Zhu, Zhaohui; Cao, Yi; Dvorak, Steven L; Prince, John L.

Proceedings - 10th IEEE Workshop on Signal Propagation on Interconnects, SPI 2006. 2007. p. 17-20 4069389.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Wang, X, Zhu, Z, Cao, Y, Dvorak, SL & Prince, JL 2007, Application of the conjugate gradient technique to stripline packaging problems. in Proceedings - 10th IEEE Workshop on Signal Propagation on Interconnects, SPI 2006., 4069389, pp. 17-20, 10th IEEE Workshop on Signal Propagation on Interconnects, SPI 2006, Hannover, Germany, 5/9/06. https://doi.org/10.1109/SPI.2006.289174
Wang X, Zhu Z, Cao Y, Dvorak SL, Prince JL. Application of the conjugate gradient technique to stripline packaging problems. In Proceedings - 10th IEEE Workshop on Signal Propagation on Interconnects, SPI 2006. 2007. p. 17-20. 4069389 https://doi.org/10.1109/SPI.2006.289174
Wang, Xing ; Zhu, Zhaohui ; Cao, Yi ; Dvorak, Steven L ; Prince, John L. / Application of the conjugate gradient technique to stripline packaging problems. Proceedings - 10th IEEE Workshop on Signal Propagation on Interconnects, SPI 2006. 2007. pp. 17-20
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