Giant Second Harmonic Generation Enhancement in a High-<i>Q</i> Doubly Resonant Hybrid Plasmon-Fiber Cavity System.

Abstract

A high-quality plasmon-fiber cavity in a doubly resonant configuration can exhibit second-harmonic generation (SHG) with over 5 orders of magnitude enhancement compared to gold nanoparticles on a fused silica substrate. Through coupling to a fiber cavity with the proper diameter, a high-quality (<i>Q</i> ≈ 160) resonance can be achieved in combination with a single gold nanoparticle. In a classical picture, where the incident electric field travels coherently <i>Q</i> times around the fiber during the nonlinear process, the high <i>Q</i> of the coupled mode aids in highly efficient SHG. We accomplish two feats: First, we analyze the <i>Q</i> factor dependence of the SHG efficiency, proving the expected <i>Q</i>⁴ dependence and thus confirming coherent E-field amplification in the fiber cavity. Second, we carefully adjust the fiber size further and tune the plasmon response of a gold nanoparticle to a high-<i>Q</i> cavity mode. We make sure that the second harmonic wavelength is simultaneously in resonance with a higher order fiber cavity mode, fulfilling the <i>doubly resonant</i> condition. As a result, a giant SH response with conversion efficiency up to 1.6 × 10^-5 is detected upon a pump intensity of 5 × 10⁸ W/cm² for 100 fs pump pulses around 840 nm incident wavelength. Additionally, the importance of the doubly resonant condition is proven by detuning the size of the fiber, which leads to a drastic drop in SHG efficiency. This disparity of the SHG efficiency can be observed even by eye, when monitoring the intensity changes of the visible SH light during detuning.