accelerators are specialized to aid the professional practitioner, this text anticipates the needs of physics students. The central concepts underpinning the physics of accelerators, charges particle, and photon beams are built up from familiar, intertwining components, such as electromagnetism, relativity, and Hamiltonian dynamics. These components are woven into an illustrative set of examples that allow investigation of a variety of physical scenarios. With these tools, single particle dynamics on linear accelerators, are discussed, with general methods that are naturally extended to circular accelerators. Beyond single particle dynamics, the proliferation of commonly used beam descriptions are surveyed and compared. These methods provide a powerful connection between the classical charged particle beams, and beams based on coherent waves-laser beams. Aspects of experimental techniques are introduced. Numerous exercises, and examples drawn from devices such as synchrotrons and free-electron lasers, are included to illustrate relevant physical principles.

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