The GIBC applications discussed so far have been to planar surfaces but, as evident from the general forms presented in the last chapter, the conditions are also applicable to curved surfaces. To illustrate this fact, we now consider their application to the singly curved surface of a cylinder. In the special case of a homogeneous circular cylinder, the exact solution of the scattering problem is known, and this can be used to construct approximate boundary conditions as well as to determine their accuracy. An important practical application is to coated metallic cylinders. This is examined in the second section, where we demonstrate the accuracy that can be achieved with a second order GIBC, and we then develop a high frequency solution.

Inspec keywords: computational electromagnetics; electromagnetic wave scattering

Other keywords: curved surfaces; GIBC applications; coated metallic cylinders; approximate boundary conditions; planar surfaces; homogeneous circular cylinder; scattering problem; high frequency solution; cylindrical bodies

Subjects: Classical electromagnetism