Electromagnetic Scattering by Half-plane with Fractional Boundary Conditions Using Legendre Polynomials

The present study investigates a classical problem with different solution approaches. The E-polarized electromagnetic scattering by half-plane with fractional boundary conditions via two different methods is studied and the results are compared. The outcomes reveal that Legendre exponential functions are suitable as a complete set to express the induced current densities on the scatterer after several mathematical manipulations. The current and field distributions for different parameters are provided when the fractional order becomes 0.5 an 1.