Optical Soliton Perturbations and Rogue Wave Mitigation in Non-Local Graphene-Oxide Metamaterials

International Journal of Physics | Vol. 12, No. 9, September 2021 | pp. 65–72

DOI: 10.46882/2021/IJP/000137

Research Article

Title: Optical Soliton Perturbations and Rogue Wave Mitigation in Non-Local Graphene-Oxide Metamaterials

Names of Authors: S. H. Zhang¹, P. L. Becker²

Authors’ Affiliations:
¹ Department of Physics, Tsinghua University, Beijing, China
² Institute for Plasma Research, University of Stuttgart, Stuttgart, Germany

Abstract: Constructing nanoscale wave-guiding systems that can protect ultra-short laser signals or actively mitigate high-power optical rogue waves is a vital asset for advanced quantum telecommunication links. This paper solves the generalized non-linear Schrödinger equation governing optical soliton perturbations and tracks rogue wave formation profiles within non-local graphene-oxide metamaterials exhibiting power-law saturable non-linearities. The mathematical model integrates higher-order perturbation terms, including third-order dispersion, self-steepening, and inter-file Raman scattering delays. We apply the inverse scattering transform method paired with a multiple-scale perturbation algorithm to derive analytical solutions for single-soliton structures and breathers. The results prove that a high degree of spatial non-locality effectively arrests catastrophic self-focusing collapse, stabilizing two-dimensional structures that are unstable in local Kerr systems. The modulational instability growth rate was calculated as a function of perturbation frequency, revealing a maximum gain value of g = 2.84 cm⁻¹ under an input beam intensity of 1.8 kW/cm². Increasing the non-locality parameter from 0.8 mm to 4.2 mm reduces the maximum instability gain by 66.0% and shifts the peak gain toward longer perturbation wavelengths, avoiding pulse fragmentation.

Keywords: Nonlinear optics; spatial solitons; nonlinear Schrödinger equation; modulational instability; non-local media; rogue waves

Manuscript Timeline: Received: May 14, 2021; Revised: July 08, 2021; Accepted: August 03, 2021; Published: September 10, 2021

Citation: Zhang, S. H., & Becker, P. L. (2021). Optical Soliton Perturbations and Rogue Wave Mitigation in Non-Local Graphene-Oxide Metamaterials. International Journal of Physics, 12(9), 65–72.

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