Spherical evanescent waves of scalar dipole

An oscillating scalar dipole has a propagating field and evanescent field with an exponential decay. In this paper, the exact calculation of both fields has been performed in a zero frequency limit. In this limit the evanescent dipole field decays according to the power law around a wave source. The calculation bases on an angular spectrum representation using Weyl's expansion technique which enables separation of the evanescent and propagating field.