Abstract
We derive full-vectorial nonlinear propagation equations of dual-pumped four-wave mixing in straight waveguides, which are valid in characterizing the one-to-six wavelength multicasting. Special attention is paid to the resulting idler wavelengths and their conversion efficiency, which enables the optimization of the experimental designs, including the incident wavelength and the power of pumps and signal. We validate the model by comparing the numerical simulation to the experimental measurement in a silicon-on-insulator waveguide, for the first time to our best knowledge, and achieve a good agreement. We further derive the general form of the proposed model for the case of using multiple,pumps, which holds a potential to numerically predict the performance of complex wavelength multicasting, and essentially guide the waveguide designs.
Highlights
Four-wave mixing (FWM), a third-order nonlinear optical effect, makes possible a number of key features for all-optical signal processing[1]
The electric and magnetic fields are expanded in a set of continuous wave (CW) frequency components, ωn
The full-vectorial simulations fit well with the experimental results, while the conversion efficiency predicted by the scalar-approach simulations are about 3 dB higher. Such a comparison validates the accuracy of the proposed full-vectorial model, in addition to strengthening the results presented in the previous study[34]
Summary
Four-wave mixing (FWM), a third-order nonlinear optical effect, makes possible a number of key features for all-optical signal processing[1]. When the incident power of S is comparable to that of H and L, efficient degenerate FWM pumped at S may take place, that H and L as the signal generate the idler SH and SL, respectively.
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