Calculation of the conditions for parametric generation of light in LiNbO3:Ti channel waveguides

A theoretical analysis is made of the phase-matching conditions needed for parametric generation of light in channel Ti-diffused waveguides formed in Y-cut LiNbO₃. The wavelengths of the output radiation are calculated as a function of the structural parameters of a waveguide and the overlap integrals of the fields of the interacting modes governing the threshold power are found. The electrooptic tuning range of the phase matching in real channel LiNbO₃:Ti waveguides is calculated.