# Layered optomagnonic structures: Time Floquet scattering-matrix approach

## TL;DR

This paper develops a dynamic theoretical framework using a time Floquet scattering-matrix method to analyze layered optomagnonic structures, revealing nonlinear interactions and enhanced scattering effects in a dual photonic-magnonic cavity.

## Contribution

It introduces a comprehensive time-dependent scattering-matrix approach for layered optomagnonic systems, enabling analysis of nonlinear and strong-coupling phenomena.

## Key findings

- Identification of nonlinear photon-magnon interaction effects.
- Observation of enhanced inelastic light scattering in strong-coupling regime.
- Limitations of the quasistatic adiabatic approximation are established.

## Abstract

A fully dynamic theoretical approach to layered optomagnonic structures, based on a time Floquet scattering-matrix method, is developed. Its applicability is demonstrated on a simple design of a dual photonic-magnonic cavity, formed by sandwiching a magnetic garnet thin film between two dielectric Bragg mirrors, subject to continuous excitation of a perpendicular standing spin wave. Some remarkable phenomena, including nonlinear photon-magnon interaction effects and enhanced inelastic light scattering in the strong-coupling regime, fulfilling a triple-resonance condition, are analyzed and the limitations of the quasistatic adiabatic approximation are established.