Nonlinear modeling of the photon pair generation in ring resonators

Nonlinear optical effects in silicon micro-structures were studied in recent years. In this paper we studied the Kerr nonlinear effects in silicon-on-insulator (SOI) micro ring resonator in order to generate quantum-correlated photon pairs. To achieve this objective we used the four-wave mixing phenomenon (FWM), that occurs when two or more different wavelengths are released into optical fibers. By using continuous wave (CW) power pumps we demonstrate the photon pair generation in a 40 pm SOI ring resonator. Photon pair generation play an important role in quantum communication at 1,5 pm telecommunication wavelength. Also, the entangled photons can be used to in quantum cryptography, to encode or decode signals, or in entanglement-assisted teleportation. SOI chips can also be used, in future, for acceleration of charged particles in optical photonic structures. In our simulations we used The Finite Difference Time-Domain Method (FDTD), a powerful mathematical tool to solve Maxwell equations in micro-structures.