An analytical model of the dual-injection-locked opto-electronic oscillator (DIL-OEO)

We derive the equations that govern the phase noise at steady state in two coupled oscillators with delay. This simple model is then applied to the dual-injection-locked opto-electronic oscillator (DIL-OEO). This model is an extension of the Yao-Maleki model from one OEO loop to two, and it is complementary to other work on full simulations and experiments that we have carried out. We use this model to understand the key features of our current experiments and to point to a new regime in which the spurs can potentially be greatly reduced without greatly increasing the phase noise.