The Stationary Semiconductor Device Equations
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The Stationary Semiconductor Device Equations
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Author : P.A. Markowich
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Stationary Semiconductor Device Equations written by P.A. Markowich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Technology & Engineering categories.
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.
The Stationary Semiconductor Device Equations
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Author : Peter A. Markowich
language : en
Publisher: Springer Verlag
Release Date : 1986
The Stationary Semiconductor Device Equations written by Peter A. Markowich and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Technology & Engineering categories.
Semiconductor Equations
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Author : Peter A. Markowich
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Semiconductor Equations written by Peter A. Markowich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In recent years the mathematical modeling of charge transport in semi conductors has become a thriving area in applied mathematics. The drift diffusion equations, which constitute the most popular model for the simula tion of the electrical behavior of semiconductor devices, are by now mathe matically quite well understood. As a consequence numerical methods have been developed, which allow for reasonably efficient computer simulations in many cases of practical relevance. Nowadays, research on the drift diffu sion model is of a highly specialized nature. It concentrates on the explora tion of possibly more efficient discretization methods (e.g. mixed finite elements, streamline diffusion), on the improvement of the performance of nonlinear iteration and linear equation solvers, and on three dimensional applications. The ongoing miniaturization of semiconductor devices has prompted a shift of the focus of the modeling research lately, since the drift diffusion model does not account well for charge transport in ultra integrated devices. Extensions of the drift diffusion model (so called hydrodynamic models) are under investigation for the modeling of hot electron effects in submicron MOS-transistors, and supercomputer technology has made it possible to employ kinetic models (semiclassical Boltzmann-Poisson and Wigner Poisson equations) for the simulation of certain highly integrated devices.
Analysis Of Mathematical Models Of Semiconductor Devices
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Author : Michael Stephen Mock
language : en
Publisher:
Release Date : 1983
Analysis Of Mathematical Models Of Semiconductor Devices written by Michael Stephen Mock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Semiconductors categories.
Quasi Hydrodynamic Semiconductor Equations
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Author : Ansgar Jüngel
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-02-01
Quasi Hydrodynamic Semiconductor Equations written by Ansgar Jüngel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-02-01 with Mathematics categories.
This book presents a hierarchy of macroscopic models for semiconductor devices, studying three classes of models in detail: isentropic drift-diffusion equations, energy-transport models, and quantum hydrodynamic equations. The derivation of each, including physical discussions, is shown. Numerical simulations for modern semiconductor devices are performed, showing the particular features of each. The author develops modern analytical techniques, such as positive solution methods, local energy methods for free-boundary problems and entropy methods.
Semiconductor Devices
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Author : Kevin M. Kramer
language : en
Publisher: Prentice Hall
Release Date : 1997
Semiconductor Devices written by Kevin M. Kramer and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Business & Economics categories.
CD-ROM contains: "Win32 version of SGFramework and the simulations contains in the book."
Multigroup Equations For The Description Of The Particle Transport In Semiconductors
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Author : Martin Galler
language : en
Publisher: World Scientific
Release Date : 2005
Multigroup Equations For The Description Of The Particle Transport In Semiconductors written by Martin Galler and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Technology & Engineering categories.
Deterministic simulation of the particle transport in semiconductor devices is an interesting alternative to the common Monte Carlo approach. In this book, a state-of-the-art technique called the multigroup approach is presented and applied to a variety of transport problems in bulk semiconductors and semiconductor devices. High-field effects as well as hot-phonon phenomena in polar semiconductors are studied in detail. The mathematical properties of the presented numerical method are studied, and the method is applied to simulating the transport of a two-dimensional electron gas formed at a semiconductor heterostructure. Concerning semiconductor device simulation, several diodes and transistors fabricated of silicon and gallium arsenide are investigated. For all of these simulations, the numerical techniques employed are discussed in detail. This unique study of the application of direct methods for semiconductor device simulation provides the interested reader with an indispensable reference on this growing research area.
Advanced Semiconductor Device Physics And Modeling
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Author : Juin J. Liou
language : en
Publisher: Artech House on Demand
Release Date : 1994-01-01
Advanced Semiconductor Device Physics And Modeling written by Juin J. Liou and has been published by Artech House on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Technology & Engineering categories.
This reference provides detailed information on semiconductor physics and modelling.
Computational Aspects Of Vlsi Design With An Emphasis On Semiconductor Device Simulation
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Author : Randolph E. Bank
language : en
Publisher: American Mathematical Soc.
Release Date : 1990-02-15
Computational Aspects Of Vlsi Design With An Emphasis On Semiconductor Device Simulation written by Randolph E. Bank and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-02-15 with Technology & Engineering categories.
Numerical simulation is rapidly becoming an important part of the VLSI design process, allowing the engineer to test, evaluate, and optimize various aspects of chip design without resorting to the costly and time-consuming process of fabricating prototypes. This procedure not only accelerates the design process, but also improves the end product, since it is economically feasible to numerically simulate many more options than might otherwise be considered. With the enhanced computing power of today's computers, more sophisticated models are now being developed. This volume contains the proceedings of the AMS-SIAM Summer Seminar on Computational Aspects of VLSI Design, held at the Institute for Mathematics and Its Applications at the University of Minnesota, in the spring of 1987. The seminar featured presentations by some of the top experts working in this area. Their contributions to this volume form an excellent overview of the mathematical and computational problems arising in this area.
Theory Of Semiconductor Junction Devices
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Author : J. H. Leck
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Theory Of Semiconductor Junction Devices written by J. H. Leck and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Technology & Engineering categories.
Theory of Semiconductor Junction Devices: A Textbook for Electrical and Electronic Engineers presents the simplified numerical computation of the fundamental electrical equations, specifically Poisson's and the Hall effect equations. This book provides the fundamental theory relevant for the understanding of semiconductor device theory. Comprised of 10 chapters, this book starts with an overview of the application of band theory to the special case of semiconductors, both intrinsic and extrinsic. This text then describes the electrical properties of conductivity, semiconductors, and Hall effect leading to the main topic of p–n junction theory. Other chapters examine the characteristics of the p–n junction in detail as this forms the fundamental element in the majority of semiconductor devices. The final chapter deals with the field effect transistor, which is known as the unipolar transistor. This book is a valuable resource for students of solid state electronics. Electrical and electronic engineers will also find this book useful.