Modal approach to modeling spin wave scattering

Efficient numerical methods are required for the design of optimised devices. In magnonics, primary computational tool is micromagnetic simulations, which solve Landau-Lifshitz equation discretised in time and space. However, their cost high, complexity output hinders insight into physics simulated system, especially case multimode propagating wave-based We propose a finite-element modal method allowing an efficient solution scattering problem dipole-exchange spin waves perpendicularly to magnetisation direction. The gives direct access matrix whole system its components. extend formula power carried by magnetostatic mode Damon-Eshbach configuration with exchange, coefficients be normalised represent fraction input transferred each channel. apply analysis spin-wave on basic functional block magnonic circuits, consisting resonator dynamically coupled thin film. results validated comparison simulations.