Reflection of magnetostatic surface waves by a metal half-plane

Reflection of magnetostatic surface wave (MSSW) from a metal half-plane on the surface of an yttrium iron garnet (YIG) film grown on a gadolinium gallium garnet (GGG) substrate is investigated using the full Maxwell´s equations. The GGG substrate is backed with a ground plane. The problem is formulated as a Fourier integral in terms of the surface current density on the metal plate. Expansion of both the Fourier kernel and the current density into a series of the generalized Laguerre polynomials yields a system of linear equations. It is found that the total reflection of MSSW occurs over wider frequency range as the ground plane is brought closer to the YIG film. The reflectivity remains unchanged even if the biasing magnetic field is reversed