Plane-wave electromagnetic scattering from a PEC strip placed at the interface of non-integer dimensional spaces

Abstract

In this paper, scattering from a perfectly conducting strip placed at planar interface of non-integer dimensional (NID) dielectric media is formulated and investigated using the Kobayashi Potential (KP) method. The KP method is a semi analytical technique to address scattering problems. According to this method, longitudinal component of the unknown scattered field is assumed in terms of unknown weighting functions. Use of the related boundary conditions leads to the formation of algebraic equations and dual integral equations (DIEs). Integrands of the DIEs are expanded in terms of the characteristic functions with unknown expansion coefficients which must satisfy, simultaneously, the required edge and boundary conditions. The expressions derived from expansion of the integrands are combined with algebraic equations in order to express the unknown weighting function in terms of unknown expansion coefficients. Moreover, the projection treatment is applied using properties of the Jacobi polynomials, yielding matrix equation for unknown expansion coefficients. Matrix equation has been solved numerically. The far zone scattering width is investigated with respect to different parameters of the geometry, e.g., size of the strip and dimension of the NID space. Significant effects of different parameters on the scattering width are noted.