Evanescent reverberation

One of the main statistical models for fields in reverberation chambers is the so-called 'plane wave integral representation' model of David Hill. However, despite being widely known and used, this model (as stated by D. Hill himself) lacks a rigorous demonstration, especially when extending it to e.g. non-spherical volumes, imperfect stirring, presence of a source, etc. In other words, its findings assume ideal reverberant conditions reducing consequently its application domain. This work presents an attempt to analytically continue Hill's plane wave integral representation model in regions where we are close to a source. By including complex angles of integration in the plane wave spectrum, we are able to find a position-dependent expression for the mean-square value of the electric and magnetic fields. Showing some measurements results, we can see that this expression can provide us with a fair description of the field dynamics close to the transmitting antenna.