Computation of the Natural Poles of an Object in the Frequency Domain Using the Cauchy Method

A methodology for the computation of the natural poles of an object in the frequency domain is presented. This methodology is then applied to compute the natural poles for perfectly conducting objects (PEC) in the frequency domain and compare the results to those obtained using the usual late time response. The main advantage of the proposed method is that there is no need to differentiate between the early time and the late time response of the object because the Cauchy method is applied to extract the Singularity Expansion Method (SEM) poles directly in the frequency domain. Simulation examples are analyzed to illustrate the potential of this method.