ABSTRACT

This chapter examines wave-scattering problems for selected canonical structures with edges such as infinitely long strips, circular and elliptic discs, and hollow finite cylinders. It considers the classical problem of diffraction from thin strips; two polarisations of the incident electromagnetic wave. The chapter also considers axially slotted circular cylinders. It discusses the extension of regularisation ideas to twodimensional scattering from axially slotted cylinders of arbitrary crosssection. The chapter also discusses this extension has much in common with the electrostatic potential problem for the same structures. It examines diffraction from circular and elliptic discs. The hollow finite cylinder completes the set of isolated scatterers for which regularised solutions are obtained. The chapter illustrates the method by computing the radar cross section for a particular cavity. It suggests that the régularisation technique based on the Abel integral transform might be extended to determine diffraction from a larger class of scatterers.