Magnetostatic spin waves and magnetic-wave chaos in ferromagnetic films. I. Theory of magnetostatic waves in plates under arbitrary anisotropy and external fields

TL;DR

This paper develops a comprehensive theoretical framework for magnetostatic spin waves in ferromagnetic films, deriving exact formulas for wave propagation, dispersion, and discussing non-linear phenomena like chaos and solitons.

Contribution

It introduces a unified theory for magnetostatic waves in anisotropic ferromagnetic films, including exact expressions and analysis of non-linear effects and chaos.

Findings

Derived exact propagator and impedance expressions for magnetostatic waves.

Established a unified dispersion relation for all wave eigen-modes.

Discussed non-linear wave phenomena including envelope solitons and chaos.

Abstract

General phenomenological theory of magnetic spin waves in ferromagnetic media is originally reformulated and applied to analysis of magnetostatic waves in films and plates with arbitrary nisotropy under arbitrary external field. Exact expressions are derived for propagator of linear waves between antennae (inductors) and mutual impedances of antennae, and exact unified dispersion equation is obtained which describes all types of magnetostatic wave eigen-modes. Characteristic frequencies (spectra) and some other important properties of main modes are analytically considered and graphically illustrated. Besides, several aspects of non-linear excitations and magnetic-wave chaos are discussed, including two-dimensional "non-linear Schrodinger equations" for magnetostatic wave packets and envelope solitons.