Resonance Beyond Frequency-Matching

TL;DR

This paper introduces the concept of multidimensional resonance, combining spatial and temporal resonance, which can significantly enhance oscillation effects and enable faster magnetic vortex core reversal.

Contribution

It reveals the creation of spatial resonance matching the normal mode pattern, extending the traditional frequency-based resonance concept to include spatial characteristics.

Findings

Multidimensional resonance can be several times stronger than temporal resonance.

It accelerates vortex core reversal in magnetic nanodisks.

Provides new insights into wave dynamics and potential applications.

Abstract

Resonance, defined as the oscillation of a system when the temporal frequency of an external stimulus matches a natural frequency of the system, is important in both fundamental physics and applied disciplines. However, the spatial character of oscillation is not considered in the definition of resonance. In this work, we reveal the creation of spatial resonance when the stimulus matches the space pattern of a normal mode in an oscillating system. The complete resonance, which we call multidimensional resonance, is a combination of both the spatial and the conventionally defined (temporal) resonance and can be several orders of magnitude stronger than the temporal resonance alone. We further elucidate that the spin wave produced by multidimensional resonance drives considerably faster reversal of the vortex core in a magnetic nanodisk. Our findings provide insight into the nature of wave dynamics and open the door to novel applications.