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author:

Zhu, Z. (Zhu, Z..) [1] | Chen, Z. (Chen, Z..) [2] | Yang, S. (Yang, S..) [3]

Indexed by:

Scopus

Abstract:

A surface integral equation (SIE) formulation under the magneto-quasi-static assumption is proposed to efficiently and accurately model arbitrarily shaped interconnects in packages. Through decently transferring all electromagnetic quantities into circuit elements, the loop analysis is used to carefully construct matrix equations with an independent and complete set of unknowns based on graph theory. In addition, an efficient preconditioner is developed, and the proposed formulation is accelerated by the pre-corrected fast Fourier transform (pFFT). Four practical examples, including a rectangular metallic interconnect, bonding wire arrays, interconnects in a real-life circuit, and the power distribution network (PDN) used in packages, are carried out to validate its accuracy, efficiency, and scalability. Results show that the proposed formulation is accurate, efficient, and flexible to model complex interconnects in packages. IEEE

Keyword:

Current Electromagnetics Impedance Integrated circuit interconnections Integrated circuit modeling Interconnects loop analysis Mathematical models parameter extraction pre-corrected fast Fourier transform (pFFT) Surface impedance surface integral equation (SIE)

Community:

  • [ 1 ] [Zhu Z.]Research Institute for Frontier Science and the School of Electronic and Information Engineering, Beihang University, Beijing, China
  • [ 2 ] [Chen Z.]College of Physics and Information Engineering, Fuzhou University, Fuzhou, China
  • [ 3 ] [Yang S.]Research Institute for Frontier Science and the School of Electronic and Information Engineering, Beihang University, Beijing, China

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Source :

IEEE Transactions on Microwave Theory and Techniques

ISSN: 0018-9480

Year: 2023

Issue: 10

Volume: 71

Page: 1-13

4 . 1

JCR@2023

4 . 1 0 0

JCR@2023

ESI HC Threshold:35

JCR Journal Grade:2

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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