Optical Soliton Perturbations and Wave Collapse Dynamics in Non-Local Graphene-Oxide Lattices

International Journal of Physics | Vol. 14, No. 8, August 2023 | pp. 57–64

DOI: 10.46882/2023/IJP/000160

Research Article

Title: Optical Soliton Perturbations and Wave Collapse Dynamics in Non-Local Graphene-Oxide Lattices

Names of Authors: S. H. Zhang¹, Y. S. Kim²

Authors’ Affiliations:
¹ Department of Physics, Tsinghua University, Beijing, China
² Department of Physics and Astronomy, Seoul National University, Seoul, South Korea

Abstract: Designing 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 communications. This paper solves the generalized non-linear Schrödinger equation governing optical soliton perturbations and tracks wave collapse dynamics inside non-local graphene-oxide lattices. 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% 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; wave collapse

Manuscript Timeline: Received: May 12, 2023; Revised: July 03, 2023; Accepted: July 25, 2023; Published: August 14, 2023

Citation: Zhang, S. H., & Kim, Y. S. (2023). Optical Soliton Perturbations and Wave Collapse Dynamics in Non-Local Graphene-Oxide Lattices. International Journal of Physics, 14(8), 57–64.

Subscribe to read the full article: https://internationalscholarsjournals.org/subscribe-to-read