Studying frequency correlations of photon pairs generated via spontaneous four–wave mixing in a microring resonator

Spontaneous four–wave mixing (SFWM) in a microring resonator is considered theoretically. The joint spectral amplitude and Schmidt number of generated biphoton field are calculated numerically for different pump pulses. Optimal pulse shapes that provide maximum efficiency of SFWM and minimum frequency correlations between signal and idler photons are found