Accuracy test for high-frequency asymptotic solutions

The problem of a magnetic dipole radiating on an infinite circular cylinder has had three different asymptotic solutions proposed. An accuracy test based on the satisfaction of the E-field boundary condition on the cylinder surface is proposed. The test is performed by relating the spectral domain representation of the surface H-field (given by the asymptotic solution) to that of the E-field and then inverse transforming to obtain the surface E-field. In some cases analytic and numerical techniques are combined to aid in evaluation of the spectral content of the surface H-field. The proposed test is applied to two of the published solutions and to a third solution generated to bridge the differences between them. Three-dimensional plots of the resulting surface E-field are presented. It was found that the proposed test is most sensitive to the source-region behavior of the solution and relatively insensitive to the large path length behavior.