Analysis of magnetostatic surface wave in a periodically corrugated YIG layered films by perturbation method

The symmetric first-order Bragg interaction of the magnetostatic surface wave (MSSW) in a periodically corrugated YIG film layered structure is investigated analytically by perturbation method. The first-order dispersion relation of the MSSW in this system is derived systematically by a singular perturbation method using multiple space scales. The obtained analytical results are not only possible to evaluate the characteristics of the system, but also its numerical computation give a designing basis at composing the microwave filter.