
Principles of Electron Optics
Description
Alles über E-Books | Antworten auf Fragen rund um E-Books, Kopierschutz und Dateiformate finden Sie in unserem Info- & Hilfebereich.
More details
Other editions
New editions

Additional editions
Persons
Content
- Front Cover
- Basic Geometrical Optics
- Copyright Page
- Contents
- Preface
- Chapter 1. Introduction
- 1.1 Organization of the subject
- 1.2 History
- PART I - CLASSICAL MECHANICS
- Chapter 2. Relativistic Kinematics
- 2.1 The Lorentz equation and general considerations
- 2.2 Conservation of energy
- 2.3 The acceleration potential
- 2.4 Definition of coordinate systems
- 2.5 Conservation of axial angular momentum
- Chapter 3. Different Forms of Trajectory Equations
- 3.1 Parametric representation in terms of the arc-length
- 3.2 Relativistic proper-time representation
- 3.3 The cartesian representation
- 3.4 Scaling rules
- Chapter 4. Variational Principles
- 4.1 The Lagrange formalism
- 4.2 General rotationally symmetric systems
- 4.3 The canonical formalism
- 4.4 The time-independent form of the variational principle
- 4.5 Static rotationally symmetric systems
- Chapter 5. Hamiltonian Optics
- 5.1 Introduction of the characteristic function
- 5.2 The Hamilton-Jacobi equation
- 5.3 The analogy with light optics
- 5.4 The influence of vector potentials
- 5.5 Gauge transformations
- 5.6 Poincarés integral invariant
- 5.7 The problem of uniqueness
- 5.8 Résumé
- PART II - CALCULATION OF STATIC FIELDS
- Chapter 6. Basic Concepts and Equations
- 6.1 General considerations
- 6.2 Field equations
- 6.3 Variational principles
- 6.4 Rotationally symmetric fields
- 6.5 Planar fields
- Chapter 7. Series Expansions
- 7.1 Azimuthal Fourier series expansions
- 7.2 Radial series expansions
- 7.3 Rotationally symmetric fields
- 7.4 Multipole fields
- 7.5 Planar fields
- 7.6 Fourier-Bessel series expansions
- Chapter 8. Boundary-Value Problems
- 8.1 Boundary-value problems in electrostatics
- 8.2 Boundary conditions in magnetostatics
- 8.3 Examples of boundary-value problems in magnetostatics
- Chapter 9. Integral Equations
- 9.1 Integral equations for scalar potentials
- 9.2 Problems with interface conditions
- 9.3 Reduction of the dimensions
- 9.4 Important special cases
- 9.5 Résumé
- Chapter 10. The Boundary-Element Method
- 10.1 Evaluation of the Fourier integral kernels
- 10.2 Numerical solution of one-dimensional integral equations
- 10.3 Superposition of aperture fields
- 10.4 Three-dimensional Dirichlet problems
- 10.5 Examples of applications of the boundary-element method
- Chapter 11. The Finite-Difference Method (FDM)
- 11.1 The choice of grid
- 11.2 The Taylor series method
- 11.3 The integration method
- 11.4 Nine-point formulae
- 11.5 Iterative solution techniques
- Chapter 12. The Finite-Element Method (FEM)
- 12.1 Formulation for round magnetic lenses
- 12.2 Formulation for self-adjoint elliptic equations
- 12.3 Solution of the finite-element equations
- 12.4 Improvement of the finite-element method
- 12.5 Comparison and combination of different methods
- Chapter 13. Field-Interpolation Techniques
- 13.1 One-dimensional differentiation and interpolation
- 13.2 Two-dimensional interpolation
- PART III - THE PARAXIAL APPROXIMATION
- Chapter 14. Introduction
- Chapter 15. Systems with an Axis of Rotational Symmetry
- 15.1 Derivation of the paraxial ray equations from the general ray equations
- 15.2 Variational derivation of the paraxial equations
- 15.3 Forms of the paraxial equations and general properties of their solutions
- 15.4 The Abbe sine condition and Herschel's condition
- 15.5 Some other transformations
- Chapter 16. Gaussian Optics of Rotationally Symmetric Systems: Asymptotic Image Formation
- 16.1 Real and asymptotic image formation
- 16.2 Asymptotic cardinal elements and transfer matrices
- 16.3 Gaussian optics as a projective transformation
- 16.4 Use of the angle characteristic to establish the optical quantities
- 16.5 The existence of asymptotes
- Chapter 17. Gaussian Optics of Rotationally Symmetric Systems: Real Cardinal Elements
- 17.1 Real cardinal elements for high magnification and high demagnification
- 17.2 Osculating cardinal elements
- 17.3 Inversion of the principal planes
- 17.4 Approximate formulae for the cardinal elements: the thin-lens approximation and the weak-lens approximation
- Chapter 18. Electron Mirrors
- 18.1 Introduction
- 18.2 A time-like parameter as independent variable
- 18.3 The cartesian representation
- 18.4 A quadratic transformation
- Chapter 19. Quadrupole Lenses
- 19.1 Paraxial equations for quadrupoles
- 19.2 Transaxial lenses
- Chapter 20. Cylindrical Lenses
- PART IV - ABERRATIONS
- Chapter 21. Introduction
- Chapter 22. Perturbation Theory: General Formalism
- Chapter 23. The Relation Between Permitted Types of Aberration and System Symmetry
- 23.1 Introduction
- 23.2 N= 1
- 23.3 N = 2
- 23.4 N = 3
- 23.5 N = 4
- 23.6 N = 5 and 6
- 23.7 Systems with an axis of rotational symmetry
- 23.8 Note on the classification of aberrations
- Chapter 24. The Geometrical Aberrations of Round Lenses
- 24.1 Introduction
- 24.2 Derivation of the real aberration coefficients
- 24.3 Spherical aberration
- 24.4 Coma
- 24.5 Astigmatism and field curvature
- 24.6 Distortion
- 24.7 The variation of the aberration coefficients with aperture position
- 24.8 Reduced coordinates
- 24.9 Seman's transformation of the characteristic function
- Chapter 25. Asymptotic Aberration Coefficients
- Chapter 26. Chromatic Aberrations
- 26.1 Real chromatic aberrations
- 26.2 Asymptotic chromatic aberrations
- Chapter 27. Aberration Matrices and the Aberrations of Lens Combinations
- Chapter 28. The Aberrations of Mirrors and Cathode Lenses
- 28.1 The parametric form of the theory
- 28.2 Systems with curved cathodes
- 28.3 Structure of the aberrations
- 28.4 The cartesian form of the aberration theory
- Chapter 29. The Aberrations of Quadrupole Lenses and Octopoles
- 29.1 Introduction
- 29.2 Geometrical aberration coefficients
- 29.3 Aperture aberrations
- 29.4 Chromatic aberrations
- 29.5 Quadrupole multiplets
- Chapter 30. The Aberrations of Cylindrical Lenses
- Chapter 31. Parasitic Aberrations
- 31.1 Small deviations from rotational symmetry
- axial astigmatism
- 31.2 Classification of the parasitic aberrations
- 31.3 Numerical determination of parasitic aberrations
- 31.4 The isoplanatic approximation
- PART V - DEFLECTION SYSTEMS
- Chapter 32. Deflection Systems and their Aberrations
- 32.1 Introduction
- 32.2 The paraxial optics of deflection systems
- 32.3 The aberrations of deflection systems
- 32.4 Stigmators
- PART VI - COMPUTER-AIDED ELECTRON OPTICS
- Chapter 33. Numerical Calculation of Trajectories, Paraxial Properties and Aberrations
- 33.1 Introduction
- 33.2 Numerical solution of ordinary differential equations
- 33.3 Standard applications in electron optics
- 33.4 Differential equations for the aberrations
- 33.5 Least-squares-fit methods in electron optics
- 33.6 Determination and evaluation of aberration discs
- 33.7 Optimization procedures
- Chapter 34. The Use of Computer Algebra Languages
- 34.1 Introduction
- 34.2 Computer algebra, its role in electron optics
- 34.3 Two practical examples
- Notes and References
- Preface and Chapter 1
- Part I, Chapters 2-5
- Part II, Chapters 6-13
- Part III, Chapters 14-20
- Part IV, Chapters 21-31
- Part V, Chapter 32
- Part VI, Chapters 33 and 34
- Conference Proceedings
- Index
- Corrections for Volume 1
- Notes and References with Titles for Volume 1
- Preface & Chapter 1
- Part I, Chapters 2-5
- Part II, Chapters 6-13
- Part III, Chapters 14-20
- Part IV, Chapters 21-31
- Part V, Chapter 32
- Part VI, Chapters 33 and 34
System requirements
File format: PDF
Copy protection: Watermark-DRM (Digital Rights Management)
System requirements:
- Computer (Windows; MacOS X; Linux): Use the free software Adobe Reader, Adobe Digital Editions, or any other PDF viewer of your choice (see eBook Help).
- Tablet/Smartphone (Android; iOS): Install the free app Adobe Digital Editions or another reading app for eBooks, e.g., PocketBook (see eBook Help).
- E-reader: Bookeen, Kobo, Pocketbook, Sony, Tolino and many more (only limited: Kindle).
The file format PDF always displays a book page identically on any hardware. This makes PDF suitable for complex layouts such as those used in textbooks and reference books (images, tables, columns, footnotes). Unfortunately, on the small screens of e-readers or smartphones, PDFs are rather annoying, requiring too much scrolling.
This eBook uses Watermark-DRM, a „soft” copy protection. This means that there are no technical restrictions to prevent illegal distribution. However, there is a personalised watermark embedded in the eBook that can be used to identify the purchaser of the eBook in the event of misuse and to provide evidence for legal purposes.
For more information, see our eBook Help page.