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Finite Element Solution Of The Semiconductor Transport Equations
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Book Synopsis Transport Equations for Semiconductors by : Ansgar Jüngel
Download or read book Transport Equations for Semiconductors written by Ansgar Jüngel and published by Springer. This book was released on 2009-04-20 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semiconductor devices are ubiquitous in the modern computer and telecommunications industry. A precise knowledge of the transport equations for electron flow in semiconductors when a voltage is applied is therefore of paramount importance for further technological breakthroughs. In the present work, the author tackles their derivation in a systematic and rigorous way, depending on certain key parameters such as the number of free electrons in the device, the mean free path of the carriers, the device dimensions and the ambient temperature. Accordingly a hierarchy of models is examined which is reflected in the structure of the book: first the microscopic and macroscopic semi-classical approaches followed by their quantum-mechanical counterparts.
Book Synopsis The Stationary Semiconductor Device Equations by : P.A. Markowich
Download or read book The Stationary Semiconductor Device Equations written by P.A. Markowich and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quasi-hydrodynamic Semiconductor Equations by : Ansgar Jüngel
Download or read book Quasi-hydrodynamic Semiconductor Equations written by Ansgar Jüngel and published by Birkhäuser. This book was released on 2011-04-27 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The mathematics of finite elements and Applications V by : J Whiteman
Download or read book The mathematics of finite elements and Applications V written by J Whiteman and published by Elsevier. This book was released on 2012-12-02 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Finite Elements and Applications V is the summary of invited papers and the abstracts of the poster papers in the fifth conference on The Mathematics of Finite Elements and Applications, MAFELAP 1984, held at Brunei University in May 1984. Said symposium discussedfield of finite elements, including its techniques, theory, application, and implementation . The coverage of the book includes a wide range of mathematical topics under finite elements, including its method, calculations, analysis, and applications. The book also encompasses topics of computer-generated geometric design interface; modeling in an integrated computer design; and determination of dimensional field lines. Acidized channels in chalk formations, elastodynamics, stress analysis, and infinite elements are also discussed. The book also looks at isoparametric and hierarchical element procedures and Petrov-Galerkin methods. The text is recommended for mathematicians, engineers, and those in the field of information technology who would like to know more about finite elements and its applications in their respective fields.
Book Synopsis Computing Methods in Applied Sciences and Engineering, VI by : R. Glowinski
Download or read book Computing Methods in Applied Sciences and Engineering, VI written by R. Glowinski and published by North-Holland. This book was released on 1984 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Problems in Semiconductor Physics by : Angelo Marcello Anile
Download or read book Mathematical Problems in Semiconductor Physics written by Angelo Marcello Anile and published by Springer. This book was released on 2003-12-10 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the the mathematical aspects of the theory of carrier transport in semiconductor devices. The subjects covered include hydrodynamical models for semiconductors based on the maximum entropy principle of extended thermodynamics, mathematical theory of drift-diffusion equations with applications, and the methods of asymptotic analysis.
Book Synopsis Quantum Transport in Ultrasmall Devices by : David K. Ferry
Download or read book Quantum Transport in Ultrasmall Devices written by David K. Ferry and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: The operation of semiconductor devices depends upon the use of electrical potential barriers (such as gate depletion) in controlling the carrier densities (electrons and holes) and their transport. Although a successful device design is quite complicated and involves many aspects, the device engineering is mostly to devise a "best" device design by defIning optimal device structures and manipulating impurity profIles to obtain optimal control of the carrier flow through the device. This becomes increasingly diffIcult as the device scale becomes smaller and smaller. Since the introduction of integrated circuits, the number of individual transistors on a single chip has doubled approximately every three years. As the number of devices has grown, the critical dimension of the smallest feature, such as a gate length (which is related to the transport length defIning the channel), has consequently declined. The reduction of this design rule proceeds approximately by a factor of 1. 4 each generation, which means we will be using 0. 1-0. 15 ). lm rules for the 4 Gb chips a decade from now. If we continue this extrapolation, current technology will require 30 nm design rules, and a cell 3 2 size
Book Synopsis Finite Element Methods and Their Applications by : Zhangxin Chen
Download or read book Finite Element Methods and Their Applications written by Zhangxin Chen and published by Springer Science & Business Media. This book was released on 2005-10-14 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications. Describes unique recent applications of finite element methods to important fields such as multiphase flows in porous media and semiconductor modelling. Treats the three major types of partial differential equations, i.e., elliptic, parabolic, and hyperbolic equations.
Book Synopsis Material Substructures in Complex Bodies by : Gianfranco Capriz
Download or read book Material Substructures in Complex Bodies written by Gianfranco Capriz and published by Elsevier. This book was released on 2007-05-24 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stringent industrial requirements of sophisticated performances and of circumstantial control for micro-devices or nanotechnology manufactures, and other types of machinery at multiple scales, can be satisfied often only by resort to or allowance for complex materials. The adjective 'complex' beckons to the fact that the substructure influences gross mechanical behaviour in a prominent way and interactions due to substructural changes are represented directly. The description of the mechanical behaviour of complex bodies proposes a wide class of challenging problems from macroscopic-to-nano-world. The collection of chapters composing this book aims to explore some aspects of these problems, proposing also new matter of discussion together with specific solutions. Contributors are Carlo Cercignani, Gianfranco Capriz, Pierre Degond, Antonio Fasano, Harley T. Johnson, Sukky Jun, Krishna Kannan, Wing Kam Liu, Alberto Mancini, Paolo Maria Mariano, Ingo Müller, Kumbakonan R. Rajagopal, Jan Jerzy Slawianowski. The book can be a useful tool for Scholars and PhD students addressing their research activity toward basic mathematical and physical problems accruing from the mechanics of materials.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Semiconductor Nanophotonics by : Michael Kneissl
Download or read book Semiconductor Nanophotonics written by Michael Kneissl and published by Springer Nature. This book was released on 2020-03-10 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of the state-of-the-art in the development of semiconductor nanostructures and nanophotonic devices. It covers epitaxial growth processes for GaAs- and GaN-based quantum dots and quantum wells, describes the fundamental optical, electronic, and vibronic properties of nanomaterials, and addresses the design and realization of various nanophotonic devices. These include energy-efficient and high-speed vertical cavity surface emitting lasers (VCSELs) and ultra-small metal-cavity nano-lasers for applications in multi-terabus systems; silicon photonic I/O engines based on the hybrid integration of VCSELs for highly efficient chip-to-chip communication; electrically driven quantum key systems based on q-bit and entangled photon emitters and their implementation in real information networks; and AlGaN-based deep UV laser diodes for applications in medical diagnostics, gas sensing, spectroscopy, and 3D printing. The experimental results are accompanied by reviews of theoretical models that describe nanophotonic devices and their base materials. The book details how optical transitions in the active materials, such as semiconductor quantum dots and quantum wells, can be described using a quantum approach to the dynamics of solid-state electrons under quantum confinement and their interaction with phonons, as well as their external pumping by electrical currents. With its broad and detailed scope, this book is indeed a cutting-edge resource for researchers, engineers and graduate-level students in the area of semiconductor materials, optoelectronic devices and photonic systems.
Book Synopsis Introduction To Semiconductor Device Modelling by : Christopher M Snowden
Download or read book Introduction To Semiconductor Device Modelling written by Christopher M Snowden and published by World Scientific. This book was released on 1998-09-29 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals mainly with physical device models which are developed from the carrier transport physics and device geometry considerations. The text concentrates on silicon and gallium arsenide devices and includes models of silicon bipolar junction transistors, junction field effect transistors (JFETs), MESFETs, silicon and GaAs MESFETs, transferred electron devices, pn junction diodes and Schottky varactor diodes. The modelling techniques of more recent devices such as the heterojunction bipolar transistors (HBT) and the high electron mobility transistors are discussed. This book contains details of models for both equilibrium and non-equilibrium transport conditions. The modelling Technique of Small-scale devices is discussed and techniques applicable to submicron-dimensioned devices are included. A section on modern quantum transport analysis techniques is included. Details of essential numerical schemes are given and a variety of device models are used to illustrate the application of these techniques in various fields.
Book Synopsis Analysis of Charge Transport by : Joseph W. Jerome
Download or read book Analysis of Charge Transport written by Joseph W. Jerome and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the mathematical aspects of semiconductor modeling, with particular attention focused on the drift-diffusion model. The aim is to provide a rigorous basis for those models which are actually employed in practice, and to analyze the approximation properties of discretization procedures. The book is intended for applied and computational mathematicians, and for mathematically literate engineers, who wish to gain an understanding of the mathematical framework that is pertinent to device modeling. The latter audience will welcome the introduction of hydrodynamic and energy transport models in Chap. 3. Solutions of the nonlinear steady-state systems are analyzed as the fixed points of a mapping T, or better, a family of such mappings, distinguished by system decoupling. Significant attention is paid to questions related to the mathematical properties of this mapping, termed the Gummel map. Compu tational aspects of this fixed point mapping for analysis of discretizations are discussed as well. We present a novel nonlinear approximation theory, termed the Kras nosel'skii operator calculus, which we develop in Chap. 6 as an appropriate extension of the Babuska-Aziz inf-sup linear saddle point theory. It is shown in Chap. 5 how this applies to the semiconductor model. We also present in Chap. 4 a thorough study of various realizations of the Gummel map, which includes non-uniformly elliptic systems and variational inequalities. In Chap.
Download or read book ICIAM 91 written by Robert E. O'Malley and published by SIAM. This book was released on 1992-01-01 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Computer Arithmetic, Algebra, OOP.
Book Synopsis Numerical Methods in Electromagnetics by : W.H.A. SCHILDERS
Download or read book Numerical Methods in Electromagnetics written by W.H.A. SCHILDERS and published by Elsevier. This book was released on 2005-04-04 with total page 930 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special volume provides a broad overview and insight in the way numerical methods are being used to solve the wide variety of problems in the electronics industry. Furthermore its aim is to give researchers from other fields of application the opportunity to benefit from the results wich have been obtained in the electronics industry.* Complete survey of numerical methods used in the electronic industry* Each chapter is selfcontained* Presents state-of-the-art applications and methods* Internationally recognised authors
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1973 with total page 1132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Field-Effect Transistors by : Dharmendra Singh Yadav
Download or read book Advanced Field-Effect Transistors written by Dharmendra Singh Yadav and published by CRC Press. This book was released on 2023-12-18 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Field-Effect Transistors: Theory and Applications offers a fresh perspective on the design and analysis of advanced field-effect transistor (FET) devices and their applications. The text emphasizes both fundamental and new paradigms that are essential for upcoming advancement in the field of transistors beyond complementary metal–oxide–semiconductors (CMOS). This book uses lucid, intuitive language to gradually increase the comprehension of readers about the key concepts of FETs, including their theory and applications. In order to improve readers’ learning opportunities, Advanced Field-Effect Transistors: Theory and Applications presents a wide range of crucial topics: • Design and challenges in tunneling FETs • Various modeling approaches for FETs • Study of organic thin-film transistors • Biosensing applications of FETs • Implementation of memory and logic gates with FETs The advent of low-power semiconductor devices and related implications for upcoming technology nodes provide valuable insight into low-power devices and their applicability in wireless, biosensing, and circuit aspects. As a result, researchers are constantly looking for new semiconductor devices to meet consumer demand. This book gives more details about all aspects of the low-power technology, including ongoing and prospective circumstances with fundamentals of FET devices as well as sophisticated low-power applications.
