LEADER 05847nam 22006855 450 001 9910300529203321 005 20200629210419.0 010 $a3-319-90188-5 024 7 $a10.1007/978-3-319-90188-6 035 $a(CKB)4100000004243952 035 $a(DE-He213)978-3-319-90188-6 035 $a(MiAaPQ)EBC6314837 035 $a(PPN)227402820 035 $a(EXLCZ)994100000004243952 100 $a20180523d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aClassical Mechanics and Electromagnetism in Accelerator Physics /$fby Gennady Stupakov, Gregory Penn 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (X, 280 p. 77 illus., 74 illus. in color.) 225 1 $aGraduate Texts in Physics,$x1868-4513 311 $a3-319-90187-7 320 $aIncludes bibliographical references and index. 327 $aPreface -- Part I Classical Mechanics -- The Basic Formulation of Mechanics: Lagrangian and Hamiltonian Equations of Motion -- Canonical Transformations -- Action-angle Variables and Liouville?s Theorem -- Linear and Non-Linear Oscillations -- Coordinate System and Hamiltonian for a Circular Accelerator -- Equations of Motion in Accelerators -- Action-Angle Variables for Betatron Oscillations -- Magnetic Field and Energy Errors -- Non-Linear Resonance and Resonance Overlapping -- The Kinetic Equation -- Part II Electricity and Magnetism -- Self Field of a Relativistic Beam -- Effect of Environment on Electromagnetic Field of a Beam -- Plane Electromagnetic Waves and Gaussian Beams -- Waveguides and RF Cavities -- Radiation and Retarded Potentials -- Dipole Radiation and Scattering of Electromagnetic Waves -- Transition and Diffraction Radiation -- Synchrotron Radiation -- Undulator radiation -- Formation Length of Radiation and Coherent Effects -- Topics in Laser-Driven Acceleration -- Radiation Damping Effects -- Part III End Matter -- Appendix A: Maxwell's Equations, equations of motion, and energy balance in an electromagnetic field -- Appendix B: Lorentz transformations and the relativistic Doppler effect -- Index. 330 $aThis self-contained textbook with exercises discusses a broad range of selected topics from classical mechanics and electromagnetic theory that inform key issues related to modern accelerators. Part I presents fundamentals of the Lagrangian and Hamiltonian formalism for mechanical systems, canonical transformations, action-angle variables, and then linear and nonlinear oscillators. The Hamiltonian for a circular accelerator is used to evaluate the equations of motion, the action, and betatron oscillations in an accelerator. From this base, we explore the impact of field errors and nonlinear resonances. This part ends with the concept of the distribution function and an introduction to the kinetic equation to describe large ensembles of charged particles and to supplement the previous single-particle analysis of beam dynamics. Part II focuses on classical electromagnetism and begins with an analysis of the electromagnetic field from relativistic beams, both in vacuum and in a resistive pipe. Plane electromagnetic waves and modes in waveguides and radio-frequency cavities are also discussed. The focus then turns to radiation processes of relativistic beams in different conditions, including transition, diffraction, synchrotron, and undulator radiation. Fundamental concepts such as the retarded time for the observed field from a charged particle, coherent and incoherent radiation, and the formation length of radiation are introduced. We conclude with a discussion of laser-driven acceleration of charged particles and the radiation damping effect. Appendices on electromagnetism and special relativity are included, and references are given in some chapters as a launching point for further reading. This text is intended for graduate students who are beginning to explore the field of accelerator physics, but is also recommended for those who are familiar with particle accelerators but wish to delve further into the theory underlying some of the more pressing concerns in their design and operation. 410 0$aGraduate Texts in Physics,$x1868-4513 606 $aMechanics 606 $aMicrowaves 606 $aOptical engineering 606 $aOptics 606 $aElectrodynamics 606 $aParticle acceleration 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 606 $aMicrowaves, RF and Optical Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T24019 606 $aClassical Electrodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21070 606 $aParticle Acceleration and Detection, Beam Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P23037 615 0$aMechanics. 615 0$aMicrowaves. 615 0$aOptical engineering. 615 0$aOptics. 615 0$aElectrodynamics. 615 0$aParticle acceleration. 615 14$aClassical Mechanics. 615 24$aMicrowaves, RF and Optical Engineering. 615 24$aClassical Electrodynamics. 615 24$aParticle Acceleration and Detection, Beam Physics. 676 $a531 700 $aStupakov$b Gennady$4aut$4http://id.loc.gov/vocabulary/relators/aut$0833955 702 $aPenn$b Gregory$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300529203321 996 $aClassical Mechanics and Electromagnetism in Accelerator Physics$92520151 997 $aUNINA