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About this book
In the last two decades semiconductor device simulation has become a research area, which thrives on a cooperation of physicists, electrical engineers and mathe maticians. In this book the static semiconductor device problem is presented and analysed from an applied mathematician's point of view. I shall derive the device equations - as obtained for the first time by Van Roosbroeck in 1950 - from physical principles, present a mathematical analysis, discuss their numerical solu tion by discretisation techniques and report on selected device simulation runs. To me personally the most fascinating aspect of mathematical device analysis is that an interplay of abstract mathematics, perturbation theory, numerical analysis and device physics is prompting the design and development of new technology. I very much hope to convey to the reader the importance of applied mathematics for technological progress. Each chapter of this book is designed to be as selfcontained as possible, however, the mathematical analysis of the device problem requires tools which cannot be presented completely here. Those readers who are not interested in the mathemati cal methodology and rigor can extract the desired information by simply ignoring details and proofs of theorems. Also, at the beginning of each chapter I refer to textbooks which introduce the interested reader to the required mathematical concepts.
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Table of contents (6 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
Bibliographic Information
Book Title: The Stationary Semiconductor Device Equations
Authors: Peter A. Markowich
Series Title: Computational Microelectronics
DOI: https://doi.org/10.1007/978-3-7091-3678-2
Publisher: Springer Vienna
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Vienna 1986
Hardcover ISBN: 978-3-211-81892-3Published: 12 December 1985
Softcover ISBN: 978-3-211-99937-0Published: 19 October 2010
eBook ISBN: 978-3-7091-3678-2Published: 09 March 2013
Series ISSN: 0179-0307
Edition Number: 1
Number of Pages: IX, 195
Topics: Optical and Electronic Materials, Power Electronics, Electrical Machines and Networks, Electronics and Microelectronics, Instrumentation