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The coupled nonlinear Schrödinger equations describing power and phase for modeling phase-sensitive parametric amplification in silicon waveguides. (English) Zbl 1463.35465

Summary: The coupled nonlinear Schrödinger (NLS) equations describing power and phase of the optical waves are used to model phase-sensitive (PS) parametric amplification in a width-modulated silicon-on-insulator (SOI) channel waveguide. Through solving the coupled NLS equations by the split-step Fourier and Runge-Kutta integration methods, the numerical results show that the coupled NLS equations can perfectly describe and character the PS amplification process in silicon waveguides.

MSC:

35Q55 NLS equations (nonlinear Schrödinger equations)
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
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