Optimizing initial chirp for efficient femtosecond wavelength conversion in silicon waveguide by split-step Fourier method. (English) Zbl 1290.78015

Li, Xuefeng; Wang, Zhaolu; Liu, Hongjun

Appl. Math. Comput. 218, No. 24, 11970-11975 (2012).

The paper deals with the propagation of waves in a silicon waveguide modeled by the tree-wave coupled system of nonlinear Schrödinger equations. The equations are solved numerically by a split-step Fourier method, in view of studying effective wavelength conversion via degenerate four-wave mixing. The emphasis is made on investigating the impact of an initial chirp on the associated spectra. The conversion bandwidth and the conversion efficiency as a function of the signal wavelength are studied.

Reviewer: Dmitry Shepelsky (Kharkov)

MSC:

78A60	Lasers, masers, optical bistability, nonlinear optics
35Q55	NLS equations (nonlinear Schrödinger equations)
78A50	Antennas, waveguides in optics and electromagnetic theory
65M06	Finite difference methods for initial value and initial-boundary value problems involving PDEs
65T50	Numerical methods for discrete and fast Fourier transforms

Keywords:

wavelength conversion; ultrafast laser; nonlinear Schrödinger equation; split-step Fourier method; optimization

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