Broadband Green's Function and Applications to Fast Electromagnetic Analysis of High-Speed Interconnects
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This dissertation is focused on research and development of an innovative Broadband Green’s Function method and the applications to fast electromagnetic modeling and simulations of high-speed interconnects. Innovative solutions based on proposed broadband Green’s function method are presented and demonstrated to solve the challenging problems in signal integrity, power integrity, and electromagnetic compatibility and interference for computer system designs. The main contents of this dissertation are twofold: to overcome the fundamental restrictions in the conventional Green’s function methods through introducing the broadband Green’s function method, to explore the applications of the broadband Green’s function to modeling of high-speed interconnects in modern electronic devices and systems. In the first project, the method of broadband Green’s function with low wavenumber extraction (BBGFL) is proposed for arbitrary shaped waveguide. The methodologies of BBGFL are derived for both Neumann and Dirichlet boundary conditions. In the second project, we combine the BBGFL with method of moment (MoM) for fast full wave modeling and simulations of scattering in arbitrary shaped waveguides. The method is applied to solve the problem of vias inside PCB power/ground plane waveguide. In the third project, a number of applications are investigated, including modeling of vias in arbitrary shaped power/ground planes, modeling of emissions from printed circuit boards, modeling of stripline connecting transition vias in power/ground planes, modeling of arbitrary shaped waveguide structures in microwave components. The proposed methods are compared to in-house method of moment program and commercial HFSS tool. Simulation results of various problems are illustrated. The present methods are verified by comparing the resonant frequencies, Green’s functions, S-parameters, surface fields, and/or radiated emission for different problems. BBGFL has good agreement with MoM and/or HFSS on the numerical results. The computational efficiency is checked by comparing the CPU time. BBGFL is about two or three orders faster than MoM and HFSS for most cases in modeling of high-speed interconnects.
- Electrical engineering