Design, modeling and optimization of electromagnetic structures electronic devices, circuits and systems, require the application of advanced tools in computational electromagnetics and multiphysics modeling. Especially in the case of nanoelecronic devices in addition to electromagnetic modeling also the consideration of mechanical, thermal, acoustic and quantum mechanical effects and the combination of these models may be required. Tools for multi-physics modeling of interacting phenomena in complex structures are required to meet with the challenges in design of advanced complex nanoelectric and nanoelectronic structures. Special problems arise from the need of self-consistent modeling of interacting physical phenomena under consideration of large variations of space- and time scales, the time variations of geometry and material parameters and the demand for compact model generation and design optimization. Network-oriented methods applied to field problems may contribute significantly to the problem formulation and solution methodology. Whereas in field theory the threedimensional geometric structure of the electromagnetic field has to be considered, a network model exhibits a plain topological structure. In network theory systematic approaches for circuit analysis are based on the separation of the circuit into the connection circuit and the circuit elements. The connection circuit represents the topological structure of the circuit and contains only interconnects, including ideal transformers. Applying a network description electromagnetic and multiphysics structures can be segmented into substructures. These substructures define the circuit elements and the set of boundary surfaces between the substructures define the interconnection network. Canonical Foster equivalent circuits can represent lossless structures in sub-domains. Canonical Cauer networks can describe radiation modes. The lumped element models can be obtained by analytic methods, i.e. via Green's function or mode matching approaches or by numerical methods techniques (Transmission Line Matrix Method or Transverse Wave Formulation) in connection with system identification techniques. By applying time discretization using Richards transformation a time-discrete transmission line segment circuit (TLSC) algorithm for efficient time-domain modeling of electromagnetic structures is formulated. The TLM scheme is a special case of the TLSC scheme and can be easily incorporated into the TLSC scheme yielding a powerful hybrid method. The application of wave digital filter (WDF) methods for time-discrete modeling and their relation to TLSC and TLM schemes is discussed. The network approach allows a systematic introduction of hybrid methods. Furthermore, network formulations are well suited for the application of model order reduction methods.
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Design, modeling and optimization of electromagnetic structures electronic devices, circuits and systems, require the application of advanced tools in computational electromagnetics and multiphysics modeling. Especially in the case of nanoelecronic devices in addition to electromagnetic modeling also the consideration of mechanical, thermal, acoustic and quantum mechanical effects and the combination of these models may be required. Tools for multi-physics modeling of interacting phenomena in co...
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