A Design of a 3rd Harmonic Cavity for the TTF 2 Photoinjector

A design of a superconducting 3.9 GHz cavity for the injector of the TTF FEL-User Facility is presented. The cavity will be located after the first TESLA module with eight 1.3 GHz cavities and before the first bunch compressor. The purpose of the cavity is to cancel nonlinear distortions in the longitudinal phase space due to the cosine-like curvature of the 1.3 GHz accelerating cavity voltage. The basic cavity rf parameters and the properties of the higher order modes calculated with several computer codes are shown.