Opis: Charged Particle Optics Theory - Timothy Groves

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 undergraduate-level understanding of calculus, this book follows a logical progression, with each concept building upon the preceding one. Beginning with a non-mathematical 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 two-body 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 second-order 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. "The book does a good job of discussing the physics behind how the trajectory of a beam of charged particles can be treated as a beam of photons, and thus illustrates what is meant by optics of charged particles." -Professor Kanti Jain, University of Illinois at Urbana-Champaign, USA "This is a nice scholarly review of charged-particle optics that's easy to read and understand. It ties together topics from diverse areas quite well. I'd readily recommend this book to students." -Henry I. Smith, Massachusetts Institute of Technology, Cambridge, USA "After mastering the material in this book, the reader will be able to follow any of the other books and handbooks on the subject and so, beyond being a textbook, it is a valuable reference in itself." -Jon Orloff, Professor Emeritus, University of Maryland at College Park, USAContents Preface 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 Diffraction 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 Bibliography Index

Szczegóły: Charged Particle Optics Theory - Timothy Groves

Tytuł: Charged Particle Optics Theory
Autor: Timothy Groves
Producent: Apple
ISBN: 9781482229943
Rok produkcji: 2014
Ilość stron: 369
Oprawa: Twarda
Waga: 0.68 kg

Recenzje: Charged Particle Optics Theory - Timothy Groves