Transient Response of Line Source Excitation in Cylindrical Geometry

The transient electric field due to a step excited line source, located at the axis of a dielectric cylinder buried in another dielectric medium is evaluated by the singularity expansion method, and by an approximate, explicit inversion approach. The explicit inversion approach is facilitated with a technique that preserves the principle of causality. The singularity expansion method and the explicit inversion technique complement each other as the former provides accurate results for the smoothly varying parts of the time–domain response and the latter accurately reproduces abrupt changes in the response.