Book description
Charged Particle Optics Theory: An Introduction identifies the most important concepts of charged particle optics theory, and derives each mathematically from the first principles of physics. Assuming an advanced undergraduatelevel understanding of calculus, this book follows a logical progression, with each concept building upon the preceding one. Beginning with a nonmathematical survey of the optical nature of a charged particle beam, the text:
 Discusses both geometrical and wave optics, as well as the correspondence between them
 Describes the twobody scattering problem, which is essential to the interaction of a fast charged particle with matter
 Introduces electron emission as a practical consequence of quantum mechanics
 Addresses the Fourier transform and the linear secondorder differential equation
 Includes problems to amplify and fill in the theoretical details, with solutions presented separately
Charged Particle Optics Theory: An Introduction makes an ideal textbook as well as a convenient reference on the theoretical origins of the optics of charged particle beams. It is intended to prepare the reader to understand the large body of published research in this mature field, with the end result translated immediately to practical application.
Table of contents
 Cover Page
 Title Page
 Copyright Page
 Contents
 Preface
 1 Introduction: The optical nature of a charged particle beam

2 Geometrical optics
 2.1 Relativistic classical mechanics
 2.2 Exact trajectory equation for a single particle
 2.3 Conservation laws
 2.4 General curvilinear axis

2.5 Axial symmetry
 2.5.1 Exact equations of motion for axially symmetric fields
 2.5.2 Paraxial approximation, Gaussian optics
 2.5.3 Series solution for the general ray equation
 2.5.4 Space charge
 2.5.5 The primary geometrical aberrations
 2.5.6 Spherical aberration
 2.5.7 Field aberrations
 2.5.8 Chromatic aberration
 2.5.9 Intensity point spread function
 2.6 Stochastic Coulomb scattering
 2.7 Hamilton–Jacobi theory

3 Wave optics
 3.1 Quantum mechanical description of particle motion

3.2 Particle motion in a general electromagnetic potential
 3.2.1 Path integral approach for the timedependent wave function
 3.2.2 Series solution for a particle in a general electromagnetic potential
 3.2.3 Quantum interference effects in electromagnetic potentials
 3.2.4 The Klein–Gordon equation and the covariant wave function
 3.2.5 Physical interpretation of the wave function and its practical application

3.3 Diffraction
 3.3.1 The Fresnel–Kirchhoff relation
 3.3.2 The Fresnel and Fraunhofer approximations
 3.3.3 Amplitude in the Gaussian image plane
 3.3.4 Amplitude in the diffraction plane
 3.3.5 Optical transformation for a general imaging system with coherent illumination
 3.3.6 Optical transformation for a general imaging system with incoherent illumination
 3.3.7 The wave front aberration function
 3.3.8 Relationship between diffraction and the Heisenberg uncertainty principle

4 Particle scattering
 4.1 Classical particle kinematics
 4.2 Scattering cross section and classical scattering
 4.3 Integral expression of Schrödinger’s equation
 4.4 Green’s function solution for elastic scattering
 4.5 Perturbation theory
 4.6 Perturbation solution for elastic scattering
 4.7 Inelastic scattering of a particle by a target atom
 4.8 Slowing of a charged particle in a dielectric medium
 4.9 Small angle plural scattering of fast electrons
 5 Electron emission from solids
 Appendix A The Fourier transform
 Appendix B Linear secondorder differential equation
 Bibliography
 Index
Product information
 Title: Charged Particle Optics Theory
 Author(s):
 Release date: December 2017
 Publisher(s): CRC Press
 ISBN: 9781351831208
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