Spectrum of normal waves in one-dimensional magnonic crystals

Abstract

A general theory of the spectrum of normal waves propagating in magnetic structures with period ically modulated parameters has been developed. Based on the method of tensorial Green's functions, spin wave mode approach, and Floquet-Bloch theorem, a general form of the dispersion relation has been obtained for dipole exchange spin waves propagating in a one dimensional magnonic crystal formed by an arbitrary spatially periodic modulation of all magnetic and geometric parameters in the Maxwell's equations and the Landau-Lifshitz equation. An original method has been proposed for taking into account an arbi trary profile of the modulation of the chosen parameters. The efficiency of the presented theory has been demonstrated using a simple example of the description of an experimental spectrum of a dynamic magnonic crystal.