Multi Signal-Domain Modeling of Solid-State Transducers: A Theoretical FrameworkBased on Irreversible Thermodynamics Mixed Finite Elements and Multigrid

摘要

The more specific aims of this dissertation is the modeling and simulation of thethermoelectric effects in silicon solid-state transducers. This work is roughly split into two main parts. The first part (Chapters 2 and 3) deals with the construction of a physical model of the thermoelectric effects in the continuous space-time domain. The second part (Chapters 4, 5 and 6) deals with the implementation of the thermoelectric model. This work is, therefore, organized as follows. In Chapter 2, the authors discuss some generic aspects of physically based system models that can be used to model the (real-time) behavior of solid-state transducer configurations. In Chapter 3, a concrete example of the considerations presented in Chapter 2 is discussed, which is the modeling of the thermal and electrical energy domain for the case of a generic semiconductor. In Chapter 4, the authors discuss the transformation of the continuous space-time model into its discrete equivalent. In Chapter 5 the authors discuss a rather unconventional method for solving these discrete equations numerically. Chapter 6 deals with some of the practical implementation issues. Finally, in Chapter 7 the authors give illustrative examples.