Optical Soliton Dynamics and Instabilities in Non-Local Plasma Metamaterials with Higher-Order Non-Linearities

International Journal of Physics | Vol. 8, No. 11, November 2017 | pp. 81–88

DOI: 10.46882/2017/IJP/000091

Research Article

Title: Optical Soliton Dynamics and Instabilities in Non-Local Plasma Metamaterials with Higher-Order Non-Linearities

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

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

Abstract: Designing optical plasma systems that can stabilize ultra-short laser pulses or safely mitigate high-power filamentation is crucial for advanced plasma torch development and optical particle tracking. This paper solves the generalized non-linear Schrödinger equation governing optical soliton perturbations and models rogue wave formations within non-local plasma metamaterials exhibiting cubic-quintic non-linearities. The mathematical model includes higher-order perturbation terms, specifically third-order dispersion, self-steepening, and inter-file Raman scattering delays. We apply the inverse scattering transform method alongside a multiple-scale perturbation algorithm to derive analytical solutions for single-soliton structures and breathers. The results show that a high degree of spatial non-locality effectively suppresses collapse modes, stabilizing two-dimensional structures that are unstable in local Kerr media. The modulational instability growth rate was calculated as a function of perturbation frequency, revealing a maximum gain value of g = 2.92 cm^-1 under an input intensity of 2.0 kW/cm². Increasing the non-locality parameter from 1.0 mm to 5.0 mm reduces the maximum instability gain by 68.0% and shifts the peak gain toward longer perturbation wavelengths, preventing catastrophic pulse fragmentation.

Keywords: Nonlinear optics; spatial solitons; nonlinear Schrödinger equation; modulational instability; non-local media; split-step Fourier method

Manuscript Timeline: Received: July 12, 2017; Revised: September 04, 2017; Accepted: September 22, 2017; Published: November 14, 2017

Citation: Zhang, S. H., & Becker, P. L. (2017). Optical Soliton Dynamics and Instabilities in Non-Local Plasma Metamaterials with Higher-Order Non-Linearities. International Journal of Physics, 8(11), 81–88.

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