Mathematical and Numerical Modelling of Heterostructure Semiconductor Devices: From Theory to Programming

Author:   E.A.B. Cole
Publisher:   Springer London Ltd
Edition:   2009 ed.
ISBN:  

9781848829367


Pages:   406
Publication Date:   14 December 2009
Format:   Paperback
Availability:   In Print   Availability explained
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Mathematical and Numerical Modelling of Heterostructure Semiconductor Devices: From Theory to Programming


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Overview

Part of my lecturing work in the School of Mathematics at the University of Leeds involved teaching quantum mechanics and statistical mechanics to mathematics undergraduates, and also mathematical methods to undergraduate students in the School of Electronic and Electrical Engineering at the University. The subject of this book has arisen as a result of research collaboration on device modelling with members of the School of Electronic and Electrical Engineering. I wanted to write a book which would be of practical help to those wishing to learn more about the mathematical and numerical methods involved in heteroju- tion device modelling. I have introduced only a comparatively small number of t- ics, and the reader may think that other important topics should have been included. But of the topics which I have introduced, I hope that I have given the reader some practical advice concerning the implementation of the methods which are discussed. This practical advice includes demonstrating how the implementation of the me- ods may be tailored to the speci?c device being modelled, and also includes some sections of computer code to illustrate this implementation. I have also included some background theory regarding the origins of the routines.

Full Product Details

Author:   E.A.B. Cole
Publisher:   Springer London Ltd
Imprint:   Springer London Ltd
Edition:   2009 ed.
Dimensions:   Width: 15.50cm , Height: 2.10cm , Length: 23.50cm
Weight:   1.310kg
ISBN:  

9781848829367


ISBN 10:   1848829361
Pages:   406
Publication Date:   14 December 2009
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Overview and physical equations.- Overview of device modelling.- Quantum mechanics.- Equilibrium thermodynamics and statistical mechanics.- Density of states and applications-1.- Density of states and applications-2.- The transport equations and the device equations.- Mathematical and numerical methods.- Basic approximation and numerical methods.- Fermi and associated integrals.- The upwinding method.- Solution of equations: the Newton and reduced method.- Solution of equations: the phaseplane method.- Solution of equations: the multigrid method.- Approximate and numerical solutions of the Schroedinger equation.- Genetic algorithms and simulated annealing.- Grid generation.

Reviews

"From the reviews: ""The book covers a wide spectrum of topics that are fundamental for modelling and simulation of semiconductor electron devices ... . It is addressed to undergraduate and graduate students in mathematics and electrical engineering as well as researchers who would like to get different perspectives on the subject. ... The monograph is self-contained since a standard background in calculus is enough to read it. This is surely a good textbook for Ph.D. students in applied mathematics."" (Vittorio Romano, Mathematical Reviews, Issue 2011 e)"


From the reviews: The book covers a wide spectrum of topics that are fundamental for modelling and simulation of semiconductor electron devices ! . It is addressed to undergraduate and graduate students in mathematics and electrical engineering as well as researchers who would like to get different perspectives on the subject. ! The monograph is self-contained since a standard background in calculus is enough to read it. This is surely a good textbook for Ph.D. students in applied mathematics. (Vittorio Romano, Mathematical Reviews, Issue 2011 e)


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