Effect of random deviations of domain boundary in periodically poled crystals on quasi-phase-matched singly resonant optical parametric oscillators

We analyzed the influence of random deviations of domain boundary in periodically poled crystals on quasi-phase-matching singly resonant optical parametric oscillators (QPM-SROs). A mathematical method of dealing with this matter is proposed and for the first time the functions of quasi-phase-matched singly resonant oscillation's optical power gain and pumping threshold on random deviations are deduced. The formula we obtained tallies with published experiential equation. The results demonstrate that with the same magnitude, random period errors in periodically poled crystals will reduce a QPM-SROs gain and drive up its pumping threshold much more largely than random duty cycle errors do.