Full-wave real-life 3-D package signal integrity analysis using nonconformal domain decomposition method

Yang Shao, Zhen Peng, Jin Fa Lee

Research output: Contribution to journalArticlepeer-review


Advances in interconnect technologies, such as the increase of the number of metal layers and 3-D stacking technique, have paved the way for higher functionality and superior performance while reducing size, power, and cost in today's integrated circuit and package products. However, whether or not the package preserves signal integrity (SI) has become a crucial concern for system designers. In this study, a systematic full-wave numerical approach, based on a nonconformal finite-element domain decomposition method (DDM), is proposed for 3-D real-life circuit/package simulations. First, an automatic domain partitioning strategy is utilized to divide the entire model into a number of sub-domains. Each sub-domain is then meshed independently and an h-version of adaptive mesh refinement is employed. Next, a nonoverlapping DDM is adopted to efficiently solve the finite-element matrix equation. Afterwards, a model-order reduction technique is exploited to compute the multiport spectral responses. SI effects such as signal delay, coupling, and reflection are simulated on a product-level package benchmark. Finally, numerical results verify the analysis and demonstrate the effectiveness of the proposed method.

Original languageEnglish (US)
Article number5678600
Pages (from-to)230-241
Number of pages12
JournalIEEE Transactions on Microwave Theory and Techniques
Issue number2
StatePublished - Feb 2011
Externally publishedYes


  • Domain decomposition method (DDM)
  • finite-element method (FEM)
  • model-order reduction (MOR)
  • second-order transmission condition (SOTC)
  • signal integrity (SI)

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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