2008/08/13 by Gianluca Geloni, Geloni, Gianluca, Vitali Kocharyan +7
Engineering · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Optics (physics.optics) #Particle Accelerators and Free-Electron Lasers #Quantum and Classical Electrodynamics
paper · pdf · doi:10.48550/arxiv.0808.1846
openalex publication_date 2008/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We formulate a complete theory of Edge Radiation based on a novel method relying on Fourier Optics techniques. Similar types of radiation like Transition Undulator Radiation are addressed in the framework of the same formalism. Special attention is payed in discussing the validity of approximations upon which the theory is built. Our study makes consistent use of both similarity techniques and comparisons with numerical results from simulation. We discuss both near and far zone. Physical understanding of many asymptotes is discussed. Based on the solution of the field equation with a tensor Green's function technique, we also discuss an analytical model to describe the presence of a vacuum chamber. In particular, explicit calculations for a circular vacuum chamber are reported. Finally, we consider the use of Edge Radiation as a tool for electron beam diagnostics. We discuss Coherent Edge Radiation, Extraction of Edge Radiation by a mirror, and other issues becoming important at high electron energy and long radiation wavelength. Based on this work we also study the impact of Edge Radiation on XFEL setups and we discuss recent results.