International Journal of Physics | Vol. 10, No. 10, October 2019 | pp. 73–80
DOI: 10.46882/2019/IJP/000114
Research Article
Title: Optical Soliton Perturbations and Wave Collapse Arrest in Non-Local Graphene Metamaterials
Names of Authors: S. H. Zhang¹, Y. S. Kim²
Authors’ Affiliations: ¹Department of Physics, Tsinghua University, Beijing, China; ²Department of Physics and Astronomy, Seoul National University, Seoul, South Korea
Abstract: Developing non-linear optical configurations that can stabilize ultra-short pulse propagation or safely arrest high-power beam collapse is an essential goal for laser engineering and high-speed data links. This paper solves the generalized non-linear Schrödinger equation governing optical soliton perturbations and tracks wave collapse dynamics inside non-local graphene-based metamaterials. The mathematical model integrates higher-order perturbation terms, including third-order dispersion, self-steepening, and delayed Raman response steps. We applied the inverse scattering transform method combined with a multiple-scale perturbation routine to derive analytical solutions for stable single-solitons and breathers. The results demonstrate that a high degree of spatial non-locality effectively suppresses catastrophic self-focusing collapse, stabilizing two-dimensional structures that are unstable in local Kerr devices. The modulation instability growth rate was calculated against variable perturbation frequencies, highlighting a maximum gain coefficient of g = 2.76 cm^-1 under an input beam intensity of 1.6 kW/cm². Expanding the non-locality parameter from 0.6 mm to 3.5 mm reduces the peak instability gain by 64.0%, preventing pulse fragmentation.
Keywords: Nonlinear optics; spatial solitons; nonlinear Schrödinger equation; modulational instability; non-local media; wave collapse
Manuscript Timeline: Received: June 02, 2019; Revised: July 29, 2019; Accepted: August 25, 2019; Published: October 08, 2019
Citation: Zhang, S. H., & Kim, Y. S. (2019). Optical Soliton Perturbations and Wave Collapse Arrest in Non-Local Graphene Metamaterials. International Journal of Physics, 10(10), 73–80.
Subscribe to read the full article: https://internationalscholarsjournals.org/subscribe-to-read