Spatial correlation function for fields in a reverberation chamber

Hill, Crawford, Kanda and Wu (see ibid., vol.35, p.69, 1993) described random fields in a reverberation chamber by an integral representation of plane waves over all real angles. A physical interpretation of the random field in a reverberation chamber is that each member of the ensemble corresponds to a different stirrer (tuner) position. The plane wave spectrum representation has been found useful for providing a mathematical description for the response of a receiving antenna or other test object in a reverberation chamber and for calculating the quality factor (Q) for reverberation chambers of arbitrary geometries. This article shows that the plane wave spectrum representation of Hill et. al. can also be used to provide a simple derivation for the spatial correlation function of the fields