Diffraction of plane wave by two parallel slits in an infinitely long impedance plane using the method of kobayashi potential

Abstract—We studied the diffraction of E-polarized electromagnetic plane wave by two parallel slits in an infinitely long impedance plane. Analysis is based on the concept of Kobayashi potential. Imposition of required boundary conditions leads to dual integral equations. The dual integral equations can be reduced to matrix equations with the infinite unknowns by using the properties of Weber-Schafheitlin’s discontinuous integrals and Jacobi’s polynomials. Matrix elements are given in terms of indefinite integrals which are difficult to evaluate analytically. The matrix elements are solved numerically. Diffracted far fields in the upper half space are studied. 1