000 02739 a2200253 4500
005 20190806111158.0
008 190805b xxu||||| |||| 00| 0 eng d
020 _a9783319901879
040 _cIIT Kanpur
041 _aeng
082 _a531
_bSt95c
100 _aStupakov, Gennady
245 _aClassical mechanics and electromagnetism in accelerator physics
_cGennady Stupakov and Gregory Penn
260 _bSpringer
_c2018
_aSwitzerland
300 _ax, 280p
440 _aGraduate texts in physics
490 _a/ edited by Kurt H. Becker
520 _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.
650 _aMechanics
650 _aElectromagnetism
650 _aMicrowaves
700 _aPenn, Gregory
942 _cBK
999 _c560592
_d560592