Infinite-Series Expressions of Current Generators in Wave Scattering from a Conducting Body

Abstract

In order to analyze wave scattering from a conducting body surrounded by random media, we defined current generators as an operator that transforms incident waves into surface currents on the body. Current generators are usually expressed in terms of the inverse matrix of which each element is the inner product of basis functions called sometimes modal functions. If the body is a cylinder with circular or elliptic cross-section, the basis functions can be chosen to be orthogonal ones and the inverse matrix becomes diagonal one; consequently, current generators are expressed in infinite series. This paper deals with the infinite-series expressions of current generators for circular and elliptic cylinders by using cylindrical or Mathieu functions according as the circular or elliptic cross-section of cylinders. These explicit expressions are useful for the analysis of scattering problems.