Charged Particle Optics Theory: An Introduction

Charged Particle Optics Theory: An Introduction

by Timothy R. Groves


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Product Details

ISBN-13: 9781482229943
Publisher: Taylor & Francis
Publication date: 12/15/2014
Series: Optical Sciences and Applications of Light Series
Pages: 369
Product dimensions: 6.40(w) x 9.20(h) x 0.90(d)

About the Author

Timothy R. Groves is empire innovation professor of nanoscale science (2007 – 2014) at the College of Nanoscale Science and Engineering, SUNY Institute of Technology, State University of New York. Prior to this, he worked in industrial research and development at Vistec Lithography (2005 – 2007), Leica Microsystems (2000 – 2005), IBM’s Semiconductor Research and Development Center (1983 – 2000), Hewlett Packard Labs (1978 – 1983), and Zenith Corporation (1976 – 1978). He also served as consulting professor of electrical engineering at Stanford University (1998 – 2007). He holds a BS in physics from Stanford University, and an MS and Ph.D in physics from the University of Chicago.

Table of Contents



Introduction: The Optical Nature of a Charged Particle Beam

Geometrical Optics

Relativistic Classical Mechanics

Hamilton's Principle of Least Action

The Hamiltonian Function and Energy Conservation

Mechanical Analog of Fermat's Principle

Exact Trajectory Equation for a Single Particle

Conservation Laws

The Lagrange Invariant

Liouville's Theorem and Brightness Conservation

General Curvilinear Axis

Equation of Motion in Terms of Transverse Coordinates and Slopes

Natural Units

Axial Symmetry

Exact Equations of Motion for Axially Symmetric Fields

Paraxial Approximation, Gaussian Optics

Series Solution for the General Ray Equation

Space Charge

The Primary Geometrical Aberrations

Spherical Aberration

Field Aberrations

Chromatic Aberration

Intensity Point Spread Function

Stochastic Coulomb Scattering

Monte Carlo Simulation

Analytical Approximation by Markov's Method of Random Flights

Hamilton–Jacobi Theory

Canonical Transformations

Applications of Hamilton–Jacobi Theory

Hamilton–Jacobi Theory and Geometrical Optics

Wave Optics

Quantum Mechanical Description of Particle Motion

The Postulates of Quantum Mechanics

Particle Motion in a Field-Free Space

Wave Packet Propagation and the Heisenberg Uncertainty Principle

The Quantum Mechanical Analog of Fermat's Principle for Matter Waves

Particle Motion in a General Electromagnetic Potential

Path Integral Approach for the Time-Dependent Wave Function

Series Solution for a Particle in a General Electromagnetic Potential

Quantum Interference Effects in Electromagnetic Potentials

The Klein–Gordon Equation and the Covariant Wave Function

Physical Interpretation of the Wave Function and Its Practical Application


The Fresnel–Kirchhoff Relation

The Fresnel and Fraunhofer Approximations

Amplitude in the Gaussian Image Plane

Amplitude in the Diffraction Plane

Optical Transformation for a General Imaging System with Coherent Illumination

Optical Transformation for a General Imaging System with Incoherent Illumination

The Wave Front Aberration Function

Relationship between Diffraction and the Heisenberg Uncertainty Principle

Particle Scattering

Classical Particle Kinematics

Scattering Cross Section and Classical Scattering

Integral Expression of Schrodinger's Equation

Green's Function Solution for Elastic Scattering

Perturbation Theory

Perturbation Solution for Elastic Scattering

Inelastic Scattering of a Particle by a Target Atom

Slowing of a Charged Particle in a Dielectric Medium

Small Angle Plural Scattering of Fast Electrons

Electron Emission from Solids

The Image Force

The Incident Current Density

Thermionic Emission

Field Emission

Emission with Elevated Temperature and Field

Space Charge Limited Emission

Appendix A: The Fourier Transform

Appendix B: Linear Second-Order Differential Equation



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