Pattern formation due to spin-wave instabilities: Squares, hexagons, and quasiperiodic patterns

摘要: We study dissipative patterns caused by spin-wave instabilities in insulating ferromagnetic films which are driven out-of-plane parallel pumping. Using a multiple-scale perturbation method, we derive amplitude equations for magnetostatic modes with wavelengths much larger than the film thickness, and stability of solutions constant amplitudes. The main result is that only stable squares, hexagons, quasiperiodic based on three standing waves. Quantitative results strongly support suggestion these should be experimentally observable means Faraday rotation.