Bichromatically pumped microresonator frequency combs

A study is made of the nonlinear dynamics of dual pumped microresonator Kerr frequency combs described
by a driven and damped nonlinear Schr¨odinger equation, with an additional degree of freedom in the form of the
modulation frequency. A truncated four wave model is derived for the pump modes and the dominant sideband
pair which is found to be able to describe much of the essential dynamical behaviour of the full equation. The
stability of stationary states within the four wave model is investigated and numerical simulations are made to
demonstrate that a large range of solutions, including cavity solitons, are possible beyond previously considered
low intensity patterns.