Entangled photon generation using four-wave mixing in azimuthally symmetric microresonators

摘要: A novel quantum mechanical formulation of the bi-photon wavefunction and spectra resulting from four-wave mixing is developed for azimuthally symmetric systems. Numerical calculations are performed verifying use angular group velocity dispersion in such systems, as opposed their commonly used linear counterparts. The profile two illustrative examples given, emphasizing physical origin effects leading to conditions momentum energy conservation. scheme proposed which widely spaced narrowband entangled photons may be produced through a process chip-scale ring resonator. photon pairs found conserve interaction, even though both modes lie spectral regions steep dispersion.