Goos-H\"anchen shift of inelastically scattered spin-wave beams and cascade nonlinear excitation of spin-wave leaky modes

TL;DR

This paper demonstrates through micromagnetic simulations that inelastic scattering of spin-wave beams on edge modes causes frequency shifts, lateral shifts akin to the Goos-H"anchen effect, and cascade nonlinear excitation of leaky modes, revealing complex nonlinear spin-wave dynamics.

Contribution

It introduces the first detailed analysis of inelastic spin-wave scattering and lateral shifts, including cascade nonlinear excitation of leaky modes, expanding understanding of nonlinear spin-wave phenomena.

Findings

Inelastic scattering creates new spin-wave beams with shifted frequencies.

Lateral shifts of scattered beams can be larger than classical Goos-H"anchen shifts.

Cascade nonlinear excitation significantly increases lateral shifts in confluence processes.

Abstract

We show, by means of micromagnetic simulations, inelastic scattering of spin-wave beams on edge-localized spin waves modes. The outcome of the investigated inelastic scattering is creation of new spin-waves beams of frequencies shifted by the edge mode frequencies. We report that inelastically scattered spin-wave beams in both stimulated splitting and confluence processes not only change their direction of propagation, but also undergo lateral shifts along the interface, analogous to the Goos-H\"anchen effect. We report that the lateral shifts of inelastically scattered beams can be much larger than the classical Goos-H\"anchen shifts for reflected spin waves, taking both positive and negative values. In addition, we report the cascade nonlinear excitation of spin-wave leaky modes accompanied by a substantial increase in the value of the lateral shift of the inelastically scattered spin-wave beam in the confluence process. Our results are an important contribution to the understanding of the nonlinear nature of spin waves, which is crucial for spin wave applications.