An Introduction to Beam Physics

Beams and Beam Physics What Is Beam Physics Production of Beams Acceleration of Beams Linear Beam Optics Coordinates and Maps Glass Optics Special Optical Systems Fields and Potentials Fields with Straight Reference Orbit Fields with Planar Reference Orbit The Equations of Motion in Curvilinear Coordinates The Linearization of the Equations of Motion The Drift The Electric Quadrupole without Fringe Field The Magnetic Quadrupole without Fringe Field The Homogeneous Magnetic Dipole The Inhomogeneous Sector The Inhomogeneous Electric Deflector Electrostatic Round Lenses Magnetic Round Lenses Computation and Manipulation of Maps: Differential Algebraic Technique The Map and its Aberrations Differential Algebras Important Functions on Differential Algebras The Implementation of Differential Algebra on a Computer The Computation of Transfer Maps Manipulation of Maps Symmetry Properties of the Transfer Maps Horizontal Midplane Symmetry Double Midplane Symmetry Rotational Symmetry Symplectic Symmetry Imaging Devices The Cathode Ray Tube (CRT) The Camera, the Electron Microscope The Spectrometers and Spectrographs The Periodic Transport The Invariant Ellipse Dispersion: Periodic Solution A Glimpse at Nonlinear Effects Linear Phase Space Motion Phase Space Action of Drifts and Lenses Phase Space Action of Quads and Dipoles Polygon-like Phase Space Elliptic Phase Space Practical Meaning of I , I , I The Relations among The Twiss Parameters Chromaticity The Explicit Transformation of the Ellipse Invariant Ellipses versus Beam Ellipses Lattice Modules Weak and Strong Focusing FODO Cells Dispersion Suppressor Double and Triple Bend Achromats The Low Beta Insertion Chicane Bunch Compressor Resonances in Rings Integer Resonance Half-Integer Resonance Linear Coupling Resonance Third-Integer Resonance Synchrotron Motion RF Fundamentals Phase Slip Factor Longitudinal Dynamics Appendix A: Edwards-Teng Parametrization Appendix B: Aberration Formulas References