International Journal of Physics

International Journal of Physics | Vol. 7, No. 12, December 2016 | pp. 89–96

DOI: 10.46882/2016/IJP/000080

Research Article

Title: Optical Soliton Dynamics and Multi-Wave Interaction Patterns in Photorefractive Polymer Waveguides

Names of Authors: L. K. Rousseau¹, K. Y. Tanaka²

Authors’ Affiliations: ¹Laboratoire de Physique des Plasmas, École Polytechnique, Palaiseau, France; ²Department of Materials Science, Tokyo Institute of Technology, Tokyo, Japan

Abstract: Controlling ultra-short light pulses within integrated optical chips is essential for expanding the bandwidth of modern telecommunication networks. This study models optical soliton dynamics and characterizes 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: August 19, 2016; Revised: October 02, 2016; Accepted: October 28, 2016; Published: December 12, 2016

Citation: Rousseau, L. K., & Tanaka, K. Y. (2016). Optical Soliton Dynamics and Multi-Wave Interaction Patterns in Photorefractive Polymer Waveguides. International Journal of Physics, 7(12), 89–96.