Fractional boundary conditions in scattering problems

In this paper, we analyze some applications of the fractional boundary conditions (FBC) in the two-dimensional problems of wave reflection and diffraction. FBC are used to simulate reflection from dielectric slab where the fractional order depends on the layer parameters. The diffraction of an E-polarized electromagnetic field by a strip with FBC is studied. Numerical results are presented showing a comparison of the physical characteristics of the strip with FBC and impedance strip.