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Advances in Imaging and Electron Physics
1st Edition, Volume 116 - June 15, 2001
Editor: Peter W. Hawkes
Language: English
Hardback ISBN:9780120147588
9 7 8 - 0 - 1 2 - 0 1 4 7 5 8 - 8
eBook ISBN:9780080526218
9 7 8 - 0 - 0 8 - 0 5 2 6 2 1 - 8
Advances in Imaging and Electron Physics merges two long-running serials-Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. This series…Read more
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Advances in Imaging and Electron Physics merges two long-running serials-Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.
Researchers in electrical engineering, optical science and technology, materials science, image processing, and mechanical engineering.
Preface
Future Contributions
Acknowledgments
Introduction
GENERAL CONSIDERATIONS
Chapter I: Basic Field Equations
Abstract
1.1 MAXWELL’S EQUATIONS
1.2 ELECTROMAGNETIC POTENTIALS
1.3 VARIATIONAL PRINCIPLES
1.4 WAVE EQUATIONS AND HERTZ VECTORS
1.5 BOUNDARY CONDITIONS
1.6 INTEGRAL EQUATIONS FOR ELECTROSTATIC FIELDS
1.7 INTEGRAL EQUATIONS FOR MAGNETIC FIELDS
1.8 INTEGRAL EQUATIONS FOR WAVE FIELDS
Chapter II: Reducible Systems
2.1 AZIMUTHAL FOURIER-SERIES EXPANSIONS
2.2 ROTATIONALLY SYMMETRIC BOUNDARIES
2.3 MAGNETIC ROUND LENSES
2.4 SERIES EXPANSIONS
2.5 PLANAR FIELDS
Chapter III: Basic Mathematical Tools
3.1 ORTHOGONAL COORDINATE SYSTEMS
3.2 INTERPOLATION AND NUMERICAL DIFFERENTIATION
3.3 MODIFIED INTERPOLATION KERNELS
3.4 MATHEMATICAL REPRESENTATION OF CURVES
3.5 MATHEMATICAL REPRESENTATION OF SURFACES
3.6 NUMERICAL INTEGRATION
Chapter IV: The Finite-Difference Method (FDM)
4.1 TWO-DIMENSIONAL MESHES
4.2 FIVE-POINT CONFIGURATIONS
4.3 NINE-POINT CONFIGURATIONS
4.4 THE CYLINDRICAL POISSON EQUATION
4.5 IRREGULAR CONFIGURATIONS
4.6 SUBDIVISION OF MESHES
4.7 CONCLUDING REMARKS
Chapter V: The Finite-Element Method (FEM)
5.1 GENERATION OF MESHES
5.2 DISCRETIZATION OF THE VARIATIONAL PRINCIPLE
5.3 ANALYSIS IN TRIANGULAR ELEMENTS
5.4 THE FINITE-ELEMENT METHOD IN FIRST ORDER
5.5 FIELD INTERPOLATION
5.6 SOLUTIONS OF LARGE SYSTEMS OF EQUATIONS
Chapter VI: The Boundary Element Method
6.1 DISCRETIZATION OF INTEGRAL EQUATIONS
6.2 AXIALLY SYMMETRIC INTEGRAL EQUATIONS
6.3 NUMERICAL SOLUTION OF INTEGRAL EQUATIONS
6.4 SPECIAL TECHNIQUES FOR ASYMMETRIC INTEGRAL EQUATIONS
6.5 THE CALCULATION OF EXTERNAL FIELDS
6.6 OTHER APPLICATIONS OF INTEGRAL EQUATIONS
Chapter VII: Hybrid Methods
Abstract
7.1 COMBINATION OF THE FEM WITH THE BEM
7.2 COMBINATION OF THE FDM WITH THE BEM
7.3 THE CHARGE SIMULATION METHOD (CSM)
7.4 THE CURRENT SIMULATION MODEL
7.5 THE GENERAL ALTERNATION METHOD
7.6 FAST FIELD CALCULATION
7.7 Calculation of Equipotentials
Appendix
Index
No. of pages: 451
Language: English
Edition: 1
Volume: 116
Published: June 15, 2001
Imprint: Academic Press
Hardback ISBN: 9780120147588
eBook ISBN: 9780080526218
PH
Peter W. Hawkes
Peter Hawkes obtained his M.A. and Ph.D (and later, Sc.D.) from the University of Cambridge, where he subsequently held Fellowships of Peterhouse and of Churchill College. From 1959 – 1975, he worked in the electron microscope section of the Cavendish Laboratory in Cambridge, after which he joined the CNRS Laboratory of Electron Optics in Toulouse, of which he was Director in 1987. He was Founder-President of the European Microscopy Society and is a Fellow of the Microscopy and Optical Societies of America. He is a member of the editorial boards of several microscopy journals and serial editor of Advances in Electron Optics.
Affiliations and expertise
Founder-President of the European Microscopy Society and Fellow, Microscopy and Optical Societies of America; member of the editorial boards of several microscopy journals and Serial Editor, Advances in Electron Optics, France
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