Theory of edge radiation. Part II: Advanced applications

In this paper we exploit a formalism to describe edge radiation, which relies on Fourier optics techniques [G. Geloni, V. Kocharyan, E. Saldin, E. Schneidmiller, M. Yurkov, Theory of edge radiation. Part I: foundations and basic applications, submitted for publication]. First, we apply our method to develop an analytical model to describe edge radiation in the presence of a vacuum chamber. Such model is based on the solution of the field equation with a tensor Green's function technique. In particular, explicit calculations for a circular vacuum chamber are reported. Second, 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 X-ray Free-Electron Laser (XFEL) setups and we discuss recent results.