Abstract
Wake fields set up in a dielectric having planar rectangular geometry by the passage of relativistic electron bunches (Vavilov‐Cherenkov radiation) can be described by a summation of a 2D set of equally‐spaced radial harmonics. This differs from the case of cylindrical geometry where the harmonics are not equally‐spaced. We study peculiarities of excitation at the entrance boundary, namely the appearance of a “quenching wave” and transition radiation. The former cancels Vavilov‐Cherenkov radiation in the region between the entrance and a front moving with the group velocity, while the latter distorts the wake field. Exact expressions for transition and Vavilov‐Cherenkov radiation are obtained, and the spatial profile of the field excited by an electron bunch of finite size is computed numerically. Wake field excitation by a train of equally‐spaced short bunch is investigated.
Published Version
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