Efficient and accurate modeling of finite-size printed circuit structure

• Main Author: Liu, Zhihong
• Other Authors: Li Er Ping
• Format: Theses and Dissertations
• Language: English
• Published: 2010
• Subjects: DRNTU::Engineering::Electrical and electronic engineering::Electronic circuits
• Online Access: https://hdl.handle.net/10356/42056
• Institution: Nanyang Technological University

Printed circuit board (PCB) is one of the crucial parts of electronic packaging. It is mounted with a large number of high-speed electronic devices and serves as a platform for numerous interconnections amongst these devices. With the trend of increasing operating frequency, PCB layouts of high-speed digital circuits become important for the circuit designers. Without proper PCB layout consideration at the design stage, electromagnetic interference (EMI) and signal integrity (SI) issues will surface and affect the functionality of the digital circuit. To allow an evaluation of PCB layout to meet EMI and SI requirements at the design stage, accurate and efficient simulating tool for printed circuit interconnects is necessary. For high-speed operating environment in the GHz range, lumped circuit modeling of the interconnecting traces on PCB is no longer accurate. Full-wave electromagnetic modeling of PCB provides excellent simulation results accurately. Nearly all full-wave electromagnetic simulation tools rely on solving Maxwell’s equations using numerical method. It is also well known that modeling large printed circuit structure based on numerical method can be computational prohibitive due to the long computation time to construct the large matrix resulting from numerical method. One of the popular numerical methods for electromagnetic modeling of PCB is the Method of Moments (MoM), which provides the numerical solution of the Maxwell’s equations using the integral formulation. To improve the computational efficiency of MoM based numerical method, efficient and accurate integration of the Green’s function is essential. In this thesis, an in-depth study and analysis on the accurate and efficient integration of Green's function is carried out. By expanding the Green’s function into the Taylor’s series, closed form expression of the integration of the Taylor’s series is developed, which reduces the solution time of MoM method significantly. The analytical expression for the integration of the Green’s function also makes the solution highly accurate.