Characterization of electromagnetic systems using Padé approximation with expansion at infinity

Tingdong Zhou, Steven L. Dvorak, John L. Prince

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The Fade via Lanczos (PVL) method, with expansion at infinity, has been used to enhance the performance of the simulation program reduced-order modeling of electromagnetic systems (ROMES), developed based on the frequency domain finite difference (FDFD) method and the PVL algorithm with a finite frequency value used as the expansion point. The advantage of this new method is avoidance of the LU decomposition step that is costly both in speed and memory. It also provides better wide frequency band results than PVL with expansion at a finite frequency, which only gives correct results near the expansion point. The disadvantage is that the dimension of the reduced-order model must be higher relative to PVL with finite value expansion for accurate approximation of the original electromagnetic system. Although it suffers from this disadvantage, PVL with expansion at infinity makes it possible to solve some complicated electromagnetic problems efficiently.

Original languageEnglish (US)
Pages (from-to)347-352
Number of pages6
JournalIEEE Transactions on Advanced Packaging
Issue number4
StatePublished - Nov 2003


  • Frequency domain finite difference (FDFD)
  • Padé via Lanczos (PVL)
  • Reduced-order modeling

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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