Novel Methods for Modeling of Multiple Vias in Multilayered Parallel-Plate Structures

This paper presents novel modeling methods for accurate and efficient analysis of coupling of multiple vias in finite-sized multilayered parallel-plate structures. The new modeling methods address two open problems related to the modal expansion with the T-matrix method for the analysis of via coupl...

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Veröffentlicht in:IEEE transactions on microwave theory and techniques 2009-07, Vol.57 (7), p.1724-1733
Hauptverfasser: En-Xiao Liu, Er-Ping Li, Zaw Zaw Oo, Xingchang Wei, Yaojiang Zhang, Vahldieck, R.
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container_issue 7
container_start_page 1724
container_title IEEE transactions on microwave theory and techniques
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creator En-Xiao Liu
Er-Ping Li
Zaw Zaw Oo
Xingchang Wei
Yaojiang Zhang
Vahldieck, R.
description This paper presents novel modeling methods for accurate and efficient analysis of coupling of multiple vias in finite-sized multilayered parallel-plate structures. The new modeling methods address two open problems related to the modal expansion with the T-matrix method for the analysis of via coupling. First, a novel boundary modeling method, called the frequency-dependent cylinder layer (FDCL), is proposed to resolve the open problem of boundary modeling. In the FDCL, virtual cylinders with dynamic radii are postulated to approximate the original finite-sized boundary of parallel-plate structures. Second, a generalized T-matrix model, which is derived by the mode-matching technique, is created to characterize the coupling effect for vias penetrating more than one layer in a multilayered structure. With the two open problems successfully solved, the modal expansion with the T-matrix method incorporating the FDCL boundary modeling method and the generalized T-matrix model can now be fully utilized for efficient and accurate analysis of finite-sized multilayered parallel-plate structures with a large number of vias. Both numerical and experimental verifications are presented to validate the new modeling methods.
doi_str_mv 10.1109/TMTT.2009.2022883
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The new modeling methods address two open problems related to the modal expansion with the T-matrix method for the analysis of via coupling. First, a novel boundary modeling method, called the frequency-dependent cylinder layer (FDCL), is proposed to resolve the open problem of boundary modeling. In the FDCL, virtual cylinders with dynamic radii are postulated to approximate the original finite-sized boundary of parallel-plate structures. Second, a generalized T-matrix model, which is derived by the mode-matching technique, is created to characterize the coupling effect for vias penetrating more than one layer in a multilayered structure. With the two open problems successfully solved, the modal expansion with the T-matrix method incorporating the FDCL boundary modeling method and the generalized T-matrix model can now be fully utilized for efficient and accurate analysis of finite-sized multilayered parallel-plate structures with a large number of vias. 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subjects Applied sciences
Approximation
Boundaries
Boundary modeling
Circuit noise
Coupling circuits
Cylinders
Design. Technologies. Operation analysis. Testing
Dynamics
Electromagnetic propagation
Electromagnetic scattering
Electromagnetic waveguides
Electronics
Electronics packaging
Exact sciences and technology
Frequency
generalized T-matrix
high-speed electronic package modeling
Integrated circuits
Joining
Magnetic analysis
Mathematical models
Methods
Microwaves
modal expansion
Power transmission
Printed circuits
Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices
signal and power integrity
via coupling
title Novel Methods for Modeling of Multiple Vias in Multilayered Parallel-Plate Structures
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