Scattering from a PEMC strip deeply buried beneath a dielectric slab using Kobayashi potential method

Abstract

Kobayashi potential method is applied to get the scattering behavior by a perfect electromagnetic conducting strip deeply buried underneath a flat dielectric slab. Using the two-dimensional solution of homogeneous Helmholtz’s equation, Fourier transformed representation of scattered field is written in terms of the unknown characteristic functions. Application of the boundary conditions on tangential components of electromagnetic fields gives dual integral equations (DIEs) which through Weber–Schafheitlin’s discontinuous integrals and Jacobi polynomials are used to satisfy the edge condition. The resulting DIEs are written in matrix equations, and those that involve infinite integrals are computed numerically. The saddle point method of integration is used to obtain an expression for the far-zone scattered field. To validate the results, obtained results are firstly compared with corresponding obtained through the physical optics method. The width of the strip, the thickness of the slab, and the angle of incidence of plane wave are taken as parameters to study their influence on the scattered field.