We consider unseeded type I second-harmonic generation in quasi-phase-matched quadratic nonlinear materials and derive an accurate analytical expression for the evolution of the average intensity. The intensity-dependent nonlinear phase mismatch that is due to the cubic nonlinearity induced by quasi phase matching is found. The equivalent formula for the intensity of maximum conversion, the crossing of which changes the one-period nonlinear phase shift of the fundamental abruptly by π , corrects earlier estimates [Opt. Lett. 23, 506 (1998)] by a factor of 5.3. We find the crystal lengths that are necessary to obtain an optimal flat phase versus intensity response on either side of this separatrix intensity.
© 2001 Optical Society of America
(070.4340) Fourier optics and signal processing : Nonlinear optical signal processing
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(190.5940) Nonlinear optics : Self-action effects
Ole Bang, Torben Winther Graversen, and Joel F. Corney, "Accurate switching intensities and length scales in quasi-phase-matched materials," Opt. Lett. 26, 1007-1009 (2001)