International Journal of Physics | Vol. 6, No. 1, January 2015 | pp. 1–8
DOI: 10.46882/2015/IJP/000057
Research Article
Title: Optical Soliton Dynamics and Wave Interactions in Cascaded Quadratic Nonlinear Waveguides
Names of Authors: L. K. Rousseau¹, N. K. Patel²
Authors’ Affiliations: ¹Laboratoire de Physique des Plasmas, École Polytechnique, Palaiseau, France; ²Department of Physics, Indian Institute of Technology, New Delhi, India
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 interactions within cascaded quadratic (chi^2) nonlinear 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 = 3.12 cm^-1 under an input pulse intensity of 2.0 kW/cm². Increasing the mismatch parameter from 1.0 mm^-1 to 5.0 mm^-1 reduces the maximum instability gain by 54.0% 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: October 05, 2014; Revised: November 22, 2014; Accepted: December 10, 2014; Published: January 14, 2015
Citation: Rousseau, L. K., & Patel, N. K. (2015). Optical Soliton Dynamics and Wave Interactions in Cascaded Quadratic Nonlinear Waveguides. International Journal of Physics, 6(1), 1–8.
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