Transverse self-interactions within an electron bunch moving in an arc of a circle (generalized)

Geloni, Gianluca; Botman, Jan; van der Wiel, Marnix; Dohlus, Martin; Saldin, Evgeni; Schneidmiller, Evgeni; Yurkov, Mikhail

Transverse self-interactions within an electron bunch moving in an arc of a circle (generalized)

Authors

Schneidmiller, Evgeni

Yurkov, Mikhail

Description

Transverse self-interactions within a "line" bunch of electrons moving in an arc of a circle have been studied extensively by us from an electrodynamical viewpoint. Here we treat an electron bunch with a given vertical (i.e. perpendicular to the orbital plane) size by a generalization of our previous work to the case of a test particle with vertical displacement interacting with a line bunch. In fact, since a bunch with vertical extent can always be thought of as a superposition of displaced charge lines, all the relevant physical aspects of the problem are included in the study of that simple model. Our generalization results in a physically meaningful and quantitative explanation of the simulations obtained with the code $TraFiC^4$ as well as in successful cross-checking of the code.
16 pages, 12 figures