Diffraction of an H-polarized surface wave by an angular break of a thin dielectric slab. The Sommerfeld-Malyuzhinets approach

This paper reports the recent advances in applications of the Sommerfeld-Malyuzhinets technique to the diffraction problem of a surface wave by an angular break of a thin material slab. The solution is represented by the Sommerfeld integrals which are then substituted into the boundary conditions on the sides of the slab. The unknown spectral functions satisfy coupled Malyuzhinets functional equations. The latter are then reduced to the Fredholm second kind integral equations which are solved numerically. The scattering diagram of the cylindrical wave arising from the edge of the structure is computed.