Fig. 1: High-harmonic response of optomechanical oscillators.
From: Optomechanical synchronization across multi-octave frequency spans
a Optomechanical oscillator feedback diagram. The mechanical degree of freedom, x(t), is initially in equilibrium with the thermal Brownian noise bath, but when a continuous-wave laser excites the optical field within the optical resonator, a(t), the optical phase is imparted by the mechanical motion and transduced—via the optical resonance—to fluctuations on the optical energy. Due to radiation-pressure forces, the mechanical oscillator experiences a feedback (back-action) force that impacts its dynamics; b Optical force components as function of the optical detuning Δx = ωl − ω0 − Gx0 shown in Eq. (1) (details in the Supplementary Note 5); c Arnold tongues in the ε − Ωd space illustrating 1:1 and 2:1 entrainment.
