Advances in Imaging and Electron Physics

Advances in Imaging and Electron Physics

1st Edition - June 15, 2001

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  • Editor: Peter Hawkes
  • eBook ISBN: 9780080526218

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Description

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.

Readership

Researchers in electrical engineering, optical science and technology, materials science, image processing, and mechanical engineering.

Table of Contents

    • 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

Product details

  • No. of pages: 451
  • Language: English
  • Copyright: © Academic Press 2001
  • Published: June 15, 2001
  • Imprint: Academic Press
  • eBook ISBN: 9780080526218

About the Editor

Peter Hawkes

Peter Hawkes
Professor Peter Hawkes obtained his M.A. and Ph.D (and later, Sc.D.) from the University of Cambridge, where he subsequently held Fellowships of Peter House 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 Optical Society 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

Laboratoire d'Optique Electronique du Centre National de la Recherche Scientifique (CEMES), France

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