Analytical formulas for the barrel-plate and pad-plate capacitance in the physics-based via circuit model for signal integrity analysis of PCBs

Author

Zhang, Yaojiang ; Li, Erping ; Oo, Zawzaw ; Zhang, Wenzu ; Liu, Enxiao ; Wei, Xinchang ; Fan, Jun

Author_Institution

Comput. Electron. & Photonics, Inst. of High Performance Comput., Singapore, Singapore

fYear

2009

fDate

7-10 Dec. 2009

Firstpage

2432

Lastpage

2435

Abstract

The current distribution along via barrel and pad is obtained by the Green´s function of a generalized coaxial cavity for a magnetic frill current. An analytical formula for both the barrel-plate and pad-plate capacitances are derived by observing the current difference along the via barrel and pad. Finite difference method has been used to validate the formula derived here. Analytical formula presented facilitates the implementation of the physics-based via circuit model in practical via designs for printed circuit boards and packages. The impact of various via geometric parameters on the parasitic capacitances has been investigated.

Keywords

Green´s function methods; capacitance; current distribution; electronics packaging; finite difference methods; printed circuits; Green´s function; PCB; analytical formula; barrel-plate capacitance; coaxial cavity; current distribution; finite difference method; magnetic frill current; packaging; pad-plate capacitance; parasitic capacitance; physics-based via circuit model; printed circuit board; signal integrity analysis; via barrel; Capacitance; Circuits; Coaxial components; Conducting materials; Current distribution; Electromagnetic interference; High performance computing; Magnetic analysis; Performance analysis; Signal analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Conference, 2009. APMC 2009. Asia Pacific

Conference_Location

Singapore

Print_ISBN

978-1-4244-2801-4

Electronic_ISBN

978-1-4244-2802-1

Type

conf

DOI

10.1109/APMC.2009.5385476

Filename

5385476