Transient response of a thin-wire scatterer arbitrarily oriented above a perfectly conducting ground plane using the singularity expansion method

The singularity expansion method is employed to determine the transient response of a thin-wire scatterer arbitrarily oriented above an infinite perfectly conducting ground plane. An integro-differential equation is formulated for the current on the scatterer in terms of the complex frequency, . The method of moments is used to reduce this integro-differential equation to a system of linear algebraic equations. The singularity expansion method is then applied to determine the exterior natural resonances and the transient response of the scatterer to a unit step incident wave. The analytical and numerical techniques used to obtain the various terms in the singularity expansion representation of the transient response are discussed, and results are presented for several different orientations of the scatterer with respect to the ground plane.