Efficient variation-aware EM-semiconductor coupled solver for the TSV structures in 3D IC

  • Authors:
  • Yuanzhe Xu;Wenjian Yu;Quan Chen;Lijun Jiang;Ngai Wong

  • Affiliations:
  • The University of Hong Kong, Hong Kong;Tsinghua University, Beijing, China;The University of Hong Kong, Hong Kong;The University of Hong Kong, Hong Kong;The University of Hong Kong, Hong Kong

  • Venue:
  • DATE '12 Proceedings of the Conference on Design, Automation and Test in Europe
  • Year:
  • 2012

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Abstract

In this paper, we present a variational electromagnetic-semiconductor coupled solver to assess the impacts of process variations on the 3D integrated circuit (3D IC) on-chip structures. The solver employs the finite volume method (FVM) to handle a system of equation considering both the full-wave electromagnetic effects and semiconductor effects. With a smart geometrical variation model for the FVM discretization, the solver is able to handle both small-size or large-size variations. Moreover, a weighted principle factor analysis (wPFA) technique is presented to reduce the random variables in both electromagnetic and semiconductor regions, and the spectral stochastic collocation method (SSCM) [10] is used to generate the quadratic statistical model. Numerical results validate the accuracy and efficiency of this solver in dealing with process variations in hybrid material through-silicon via (TSV) structures.