Efficient optical frequency mixing typically must accumulate over large interaction lengths as nonlinear responses in natural materials are inherently weak. This limits the efficiency of mixing processes due to the requirement of phase matching. Here we report efficient fourwave mixing (FWM) over micron-scale interaction lengths at telecommunications wavelength on silicon. We use an integrated plasmonic gap waveguide that strongly confines light within a nonlinear organic polymer. The gap waveguide intensifies light by nanofocusing it to a mode cross-section of a few tens of nanometers, thus generating a nonlinear response so strong that efficient FWM accumulates over wavelength-scale distances. This technique opens up nonlinear optics to a regime of relaxed phase matching, with the possibility of compact, broadband, and efficient frequency mixing integrated with silicon photonics.One Sentence Summary: Efficient wave mixing in plasmonic waveguides on silicon introduces a route to versatile non-resonant nonlinear optical devices with relaxed phase matching limitations.
Main Text:Nonlinear optics, especially frequency mixing, underpins modern optical technologies and scientific exploration in quantum optics (1, 2), materials and life sciences (3, 4), and optical communications (5, 6). Four-wave mixing (FWM) is an important nonlinear frequency conversion technique used in photonic integrated circuits and telecommunications for signal regeneration (6), switching (7), phase-sensitive amplification (8), metrology (9), and entangled photon-pair generation (10). As a third order nonlinear effect, FWM is extremely sensitive to enhancement by the optical confinement of nanoplasmonic systems (11). For example, FWM has been demonstrated in a variety of metallic nanostructures including nano-antennas (12), rough surfaces (13), and at sharp tips (14). Nonetheless, efficient frequency conversion has remained elusive. While metals can be highly nonlinear and afford extreme optical localization, at telecommunications wavelengths only a small fraction of a plasmonic mode interacts with the metal and increasing this only exacerbates absorption. An alternative strategy is to incorporate low-loss nonlinear materials within nanoplasmonic systems (15, 16). Indeed, recent theoretical studies of FWM in plasmonic waveguides incorporating nonlinear polymers are promising (17).