Abstract

An improved multiple scattering method is developed for an irregular plate pair where via pad/antipad radius is electrically small and the spacing between any two vias is relatively large so that the axially anisotropic parallel plate modes can be neglected. the plate-pair impedance matrix, widely used as an important parameter in power integrity analysis and also a critical part for via coupling in the intrinsic and the physics-Based via models, is found to be related to the addition theorems of the zero-order axially isotropic propagating modes. as the impedance matrix of an irregular plate pair can be calculated by many analytical and numerical methods, the relationship between the plate-pair impedance matrix and the addition theorems of the zero-order axially isotropic propagating modes enables the handling of both the mutual coupling among vias and the reflection from plate-pair edges. Thus, the conventional multiple scattering method, restricted to either an infinitely large or a finite circular plate pair, can be extended to irregular plates for the via structures described earlier. the assumptions of the method are discussed, and several numerical examples are provided to validate the proposed improved method. © 2012 IEEE.

Department(s)

Electrical and Computer Engineering

Comments

National Science Foundation, Grant 0855878

Keywords and Phrases

Addition theorems of zero-order axially isotropic cylindrical waves; impedance of a parallel plate pair; irregularly shaped plates; multiple scattering method; reflection from plate-pair edges; via modeling

International Standard Serial Number (ISSN)

0018-9375

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.

Publication Date

01 Apr 2012

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