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All-optical logic operation is theoretically demonstrated by means of polarization-dependent four-wave mixing (FWM) processes in a highly nonlinear silicon hybrid plasmonic waveguide (HPWG) microring resonator. We design an ultra-compact (radii = 1 μm) microring resonator (MRR) that is realized by using a silicon HPWG with the capacity for subwavelength-bending. The HPWG exhibits very high confinement (Aeff~0.045 μm(2)) that can result in a remarkably high nonlinear parameter (γ~3000 W(-1) m(-1)), given a highly nonlinear gap material. By manipulating the polarization properties of the pump and signals with a very low electric field (|E|~10(8) Vm(-1)), all-optical NOT, NOR, and NAND logical operations are obtained through the FWM process. These compact all-optical nanoplasmonic devices are stable, fabrication simplified, and silicon on insulator (SOI) compatible.

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The flat and low second-order dispersion of 0∼-13  ps²/km in a double-slot waveguide is optimized for broadband wavelength conversion. Subsequently, a 3 dB conversion bandwidth of about 1200 nm is presented by four-wave mixing based on the above structure in simulation. Attributed to the small phase mismatch caused by low second- and fourth-order dispersion parameter in a large waveband, the 3 dB conversion bandwidth is almost constant at about 1200 nm with the pump wavelength varying from 2200 to 2800 nm. The results indicate that this dispersion-flattened double-slot waveguide is not only an ideal device for broadband wavelength conversion but also can realize the transparency of pump wavelength, which has potential applications in wavelength conversion.