Methodologies and Algorithms for Finite Element Analysis of Electromagnetic Devices and Systems

183 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.In this dissertation, robust, efficient, and fast finite-element-based electromagnetic modeling is considered for integrated and packaged electronic components and systems using enhanced formulations and algorithms. First, efficient and robust formulations and algorithms are presented for two-dimensional waveguide eigenmode analysis, which provides the foundation for the development of a waveguide-mode based port excitation model. This model is used in the multiple-input, multipleoutput finite element analysis of multiport electromagnetic devices and, in general, multiport electromagnetic systems. Next, a Krylov subspace model order reduction method is developed and demonstrated for broadband macromodeling of finite element approximations of electromagnetic devices and structures. Unique attributes of the method include its ability to handle frequency-dependent material properties as well as frequency-dependent surface impedance conditions. This model order reduction framework is further enhanced with new models for efficient handling of electrically small geometric features, such as thin wires. Such models, complemented by convenient schemes for the direct incorporation of lumped circuit elements in the finite element model of the electromagnetic structure, result in a comprehensive, finite element modeling framework for multiscale electromagnetic analysis. Finally, a model order reduction assisted domain decomposition methodology is proposed and demonstrated for the electromagnetic modeling of planar, multilayered electromagnetic circuits, of the type encountered in the signal and power distribution networks of high-speed digital and RF/microwave integrated electronic systems. Through its application to a series of case studies, the proposed methodology proves helpful in reducing modeling and numerical solution complexity, while providing for uncompromized electromagnetic accuracy.U of I OnlyRestricted to the U of I community idenfinitely during batch ingest of legacy ETD