ABSTRACT
This chapter introduces a methodology it finds its origin in the observation that the shape of a large class of irregularly-shaped planar structures can be formed upon a relatively small number of deformations of their circumscribing box. The boundary contours of the corresponding (two-dimensional) computational models then typically overlap along a significant part of the bounding rectangle. Formulation and numerical solution of such an IE is the primary concern of this chapter, wherein the Time-Domain Compensation Contour Integral Method (TD-C2IM) is introduced. The problem is formulated using the reciprocity theorem of the time-convolution type. It is important to realize that the introduced formulation does not require the elaborate handling of the singularity that occurs in the basic TD-CIM formulation. The former method, however, has managed to calculate the pulse shapes with only 12 discretization elements, thereby introducing extremely high computational savings of several orders of magnitude with respect to the reference.
