Optical Soliton Dynamics and Multi-Wave Interaction Patterns in Non-Local Polymeric Waveguides

International Journal of Physics | Vol. 13, No. 9, September 2022 | pp. 65–72

DOI: 10.46882/2022/IJP/000149

Research Article

Title: Optical Soliton Dynamics and Multi-Wave Interaction Patterns in Non-Local Polymeric Waveguides

Names of Authors: L. K. Rousseau¹, G. R. Davies²

Authors’ Affiliations:
¹ Laboratoire de Physique des Plasmas, École Polytechnique, Palaiseau, France
² School of Physics and Astronomy, University of St Andrews, St Andrews, UK

Abstract: Controlling ultra-short light pulses within integrated optical chips is essential for expanding the bandwidth of modern telecommunication networks and building robust optical processors. This study models optical soliton dynamics and characterises multi-wave interaction patterns within photorefractive polymer waveguides. We solved the coupled non-linear Schrödinger equations governing the fundamental and second-harmonic fields using a variational method paired with split-step Fourier numerical simulations. The analytical framework derives the exact phase-matching conditions and power thresholds required to initiate stable multicolored solitary wave propagation. The results show that large phase mismatches generate a strong cascading effect, mimicking a cubic Kerr nonlinearity that stabilizes localized two-dimensional structures. The modulation instability growth rate was calculated as a function of mismatch parameters, revealing a maximum gain value of g = 3.24 cm⁻¹ under an input pulse intensity of 2.2 kW/cm². Increasing the mismatch parameter from 1.0 mm⁻¹ to 5.0 mm⁻¹ reduces the maximum instability gain by 56.0% and prevents pulse fragmentation. These findings provide strategies for controlling self-focusing in high-power laser systems and optimizing all-optical switching matrices.

Keywords: Nonlinear optics; optical solitons; quadratic nonlinearity; split-step Fourier method; modulation instability; phase matching

Manuscript Timeline: Received: June 04, 2022; Revised: July 28, 2022; Accepted: August 18, 2022; Published: September 10, 2022

Citation: Rousseau, L. K., & Davies, G. R. (2022). Optical Soliton Dynamics and Multi-Wave Interaction Patterns in Non-Local Polymeric Waveguides. International Journal of Physics, 13(9), 65–72.

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