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Modeling of Multiple Vias with a Shared Anti-Pad in an Irregular Plate Pair using Domain Decomposition Approach

  • Yaojiang Zhang
  • , Xiaoxiong Gu
  • , Liehui Ren
  • , Dazhao Liu
  • , Jun Fan
  • Missouri University of Science and Technology

Research output: Contribution to journal › Article › peer-review

Abstract

An irregular plate pair with multiple vias sharing an anti-pad is decomposed into top/bottom plate-thickness domain and parallel-plate domain whose admittance matrices are calculated by three-dimensional (3D) finite element method (FEM) and hybrid 3D/2D FEM. Combined admittance matrix algorithm is used to obtain the final admittance matrix of the plate pair including finite thickness plates. The widely-used assumption of transverse electromagnetic (TEM) modes on anti-pads is carefully investigated by comparing the combined admittance matrix algorithm with hybrid 3D/2D FEM. It is found that higher-order modes are excited on anti-pads and in practical printed circuit board, the higher-order modes can penetrate from one layer of plate pair to another layer. This may provide guidance for future research for multiple vias in a shared anti-pad.

Keywords

  • Admittance matrices
  • Domain decomposition methods
  • Domain decompositions
  • Electromagnetic compatibility
  • Finite element method
  • Finite thickness plates
  • Higher-order modes
  • Parallel plates
  • Printed circuit boards
  • Printed circuits
  • Provide guidances
  • Three dimensional (3 D) finite element methods (FEM)
  • Transverse electromagnetic mode

Disciplines

  • Electrical and Computer Engineering
  • Numerical Analysis and Scientific Computing

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