Design and calibration of the 34 GHz Yale microwave cavity experiment

Several proposed models of the cold dark matter in the universe include light neutral bosons with sub-eV masses. In many cases their detection hinges on their infrequent interactions with Standard Model photons at sub-eV energies. We describe the design and performance of an experiment to search for aberrations from the broadband noise power associated with a 5 K copper resonant cavity in the vicinity of 34 GHz (0.1 meV). The cavity, microwave receiver, and data reduction are described. Several configurations of the experiment are discussed in terms of their impact on the sensitivity of the search for axion-like particles and hidden sector photons.