Space charge physics for particle accelerators

Description

Understanding and controlling the physics of space charge effects in linear and circular proton and ion accelerators are essential to their operation, and to future high-intensity facilities. This book presents the status quo of this field from a theoretical perspective, compares analytical approaches with multi-particle computer simulations and – where available – with experiments. It discusses fundamental concepts of phase space motion, matched beams and modes of perturbation, along with mathematical models of analysis – from envelope to Vlasov-Poisson equations. The main emphasis is on providing a systematic description of incoherent and coherent resonance phenomena; parametric instabilities and sum modes; mismatch and halo; error driven resonances; and emittance exchange due to anisotropy, as well as the role of Landau damping. Their distinctive features are elaborated in the context of numerous sample simulations, and their potential impacts on beam quality degradation and beam loss are discussed. The book is intended for advanced beginners in accelerator research, and for experts interested in the mechanisms of direct space charge interaction and their modeling. Front Matter ....Pages i-ix Introduction (Ingo Hofmann)....Pages 1-8 Phase Space Dynamics in Theory and Simulation (Ingo Hofmann)....Pages 9-19 Vlasov and Envelope Analysis (Ingo Hofmann)....Pages 21-26 Matched Beams (Ingo Hofmann)....Pages 27-39 Modes of Space Charge Interaction (Ingo Hofmann)....Pages 41-69 Beam Mismatch and Halo (Ingo Hofmann)....Pages 71-80 Coherent Parametric Instabilities (Ingo Hofmann)....Pages 81-113 Magnet Error Driven Resonances (Ingo Hofmann)....Pages 115-130 Emittance Exchange in Anisotropic Beams (Ingo Hofmann)....Pages 131-144 Discussion of Space Charge in Accelerator Design (Ingo Hofmann)....Pages 145-149 Back Matter ....Pages 151-154