Theoretical analysis of the TE mode Cerenkov type second harmonic generation in ion-implanted X-cut lithium niobate channel waveguides

Optical second harmonic generation (SHG) in the form of Cerenkov radiation from ion-implanted lithium niobate (LiNbO3) channel waveguides is analyzed by directly resolving the wave equations. Useful formula of the SHG efficiency is derived and expressed in terms of waveguide parameters. Numerical examples are plotted for LiNbO3 crystals. The results enable the optimization of waveguide design for efficient second harmonic generation in the Cerenkov configuration.

► We develop a model to calculate the conversion efficiency (CE) of the Cerenkov SHG.
► The CE changes periodically with the pump wavelength and the waveguide depth.
► The model allows us to determine the optimum waveguide parameters.