Preconditioned adaptive integral method for fast electromagnetic analysis of arrays of through-silicon vias

Aosheng Rong, Andreas C. Cangellaris, Feng Ling

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

Abstract

A preconditioned adaptive integral method is presented for the expedient extraction of the broadband scattering parameters of large arrays of through-silicon vias. The method relies on a proper decomposition of the original kernel functions in the Foldy-Lax based integral equation statement of the pertinent electromagnetic boundary value problem to generate translation-invariant expressions. Thus, Fast-Fourier Transform based convolution can be used for the efficient calculation of the matrix vector products in the Krylov projection-based iterative solution of the sparse matrix equation resulting from the numerical approximation of the governing integral equation. A multi-frontal preconditioner is constructed and implemented for the Krylov projection-based iterative solution of the sparse matrix. The accuracy of the proposed methodology is validated through comparison with HFSS™-obtained scattering parameters of a simple through-silicon via arrays, while its capacity in handling large arrays is demonstrated through its application to the analysis of a 25×25 TSV array.

Original languageEnglish (US)
Title of host publication2014 IEEE MTT-S International Microwave Symposium, IMS 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Print)9781479938698
DOIs
StatePublished - Jan 1 2014
Event2014 IEEE MTT-S International Microwave Symposium, IMS 2014 - Tampa, FL, United States
Duration: Jun 1 2014Jun 6 2014

Publication series

NameIEEE MTT-S International Microwave Symposium Digest
ISSN (Print)0149-645X

Other

Other2014 IEEE MTT-S International Microwave Symposium, IMS 2014
CountryUnited States
CityTampa, FL
Period6/1/146/6/14

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Keywords

  • Foldy-Lax formulation
  • Krylov methods
  • Through-silicon vias
  • adaptive integral equation method
  • iterative solution
  • signal integrity

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

Cite this

Rong, A., Cangellaris, A. C., & Ling, F. (2014). Preconditioned adaptive integral method for fast electromagnetic analysis of arrays of through-silicon vias. In 2014 IEEE MTT-S International Microwave Symposium, IMS 2014 [6848535] (IEEE MTT-S International Microwave Symposium Digest). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MWSYM.2014.6848535