Space–time evolution of optical breathers and modulation instability patterns in metamaterial waveguides

Xu, G; McNiff, JE; Boardman, AD; Kibler, B

Abstract

We present numerical and theoretical investigations of the spontaneous emergence of noise-driven modulation instability patterns in a metamaterial waveguide, which involves the generation of optical breather waves such as the Peregrine soliton, Akhmediev breathers and Kuznetsov–Ma breathers. We show that the intrinsic properties of the metamaterial waveguide, e.g. self-steepening and the magnetooptic effects, offer the potential to control the formation and subsequent spectral and temporal dynamics of these localized nonlinear waves. Such internal or external perturbations break the symmetry of the spectrum of nonlinear waves, thus leading to the existence of a controllable characteristic group velocity in their space–time evolution.

Citation

Xu, G., McNiff, J., Boardman, A., & Kibler, B. (2020). Space–time evolution of optical breathers and modulation instability patterns in metamaterial waveguides. Wave Motion, 93, 102448. https://doi.org/10.1016/j.wavemoti.2019.102448

• Journal Article Type: Article
• Acceptance Date: Oct 14, 2019
• Online Publication Date: Oct 17, 2019
• Publication Date: Mar 1, 2020
• Deposit Date: Mar 12, 2020
• Journal: Wave Motion
• Print ISSN: 0165-2125
• Publisher: Elsevier
• Volume: 93
• Pages: 102448
• DOI: https://doi.org/10.1016/j.wavemoti.2019.102448
• Publisher URL: https://doi.org/10.1016/j.wavemoti.2019.102448
• Related Public URLs: https://www.sciencedirect.com/journal/wave-motion
• Additional Information: Funders : Investissement d’Avenir; Grant Number: PIA2/ISITE–BFC, contract ANR-15-IDEX-03)