Design of a spin-flip cavity for the measurement of the antihydrogen hyperfine structure

In the framework of the ASACUSA collaboration at the CERN Antiproton Decelerator an experiment for precisely testing the CPT invariance of the hydrogen hyperfine structure is currently being designed. An integral part of the set-up is the 1.42 GHz spin-flipping cavity, which should have a good field homogeneity over the large aperture of the antihydrogen beam. After the evaluation of various approaches a structure based on a resonant stripline is proposed as a concrete cavity design. For this structure the field homogeneity, undesired modes, coupling and power issues are discussed in detail.