Slotted cylindrical shell for use as a compact wiggler

Abstract
A compact wiggler offers the opportunity to reach high free-electron-laser frequencies with an electron beam of modest energy. We analyze here the properties of a conducting cylinder, slotted periodically on alternate sides, for use as a compact wiggler. In particular, we obtain the current distribution on the cylindrical surface, from which we obtain the magnetic fields inside the cylinder. We then expand this field into its multipole components, as well as into its axial harmonics. The resulting orbit dynamics are explored, leading to preferred choices for some of the design parameters. Finally, we examine the major consequences of possible fabrication errors, which suggest the tolerances and/or necessary compensation mechanisms required for a satisfactory wiggler design.

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