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

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

2003-04-09

arxiv.org/abs/physics/0304033v1

Physics

Accelerator Physics

16 pages, 12 figures

Scientific paper

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.

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