ABSTRACT
This chapter describes a theoretical approach directly aimed at solving the problem. It develops a general theory of forward-volume magnetostatic spin wave (FVMSW) multiple scattering by a finite 2D ensemble of cylindrical magnetic inclusions in a ferromagnetic matrix. The chapter presents the quantum-mechanical-type T-scattering operator approach to study FVMSW multiple scattering by a finite ensemble of cylindrical magnetic inclusions in a ferromagnetic film metallized from both sides. The substantial result consisted of deriving an optical theorem for the T-scattering operator and as a consequence deriving a new formula for collective extinction cross section of the inclusion ensemble in terms of the incident spin wave influence on dynamic magnetization displacement currents excited inside inclusions by spin wave scattering. An analogy to the known quantum mechanics scattering theory, the Watson composition rule for T-scattering operators of particles is formulated in case of the magnetic inclusion ensemble. This composition rule was used to derive the equation set for partial spin wave multiple-scattering amplitudes.
