论文标题
在具有竞争立方体和二次非线性的媒介中管理孤子
Management of solitons in medium with competing cubic and quadratic nonlinearities
论文作者
论文摘要
研究了具有竞争性二次和立方非线性的媒体中的孤儿的管理。研究了两个方案，使用了不匹配参数的快速调制和KERR非线性参数。在这两种情况下，得出时波方程中的平均值。在不匹配管理的情况下，可以找到可能稳定的参数区域。在Kerr非线性管理的情况下，这表明有效的$χ^{（2）} $非线性取决于基本（FH）和第二（SH）谐波之间的强度不平衡。从平均方程获得的预测通过对完整PDE的数值模拟确认。
Management of solitons in media with competing quadratic and cubic nonlinearities is investigated. Two schemes, using rapid modulations of a mismatch parameter, and of the Kerr nonlinearity parameter are studied. For both cases, the averaged in time wave equations are derived. In the case of mismatch management, the region of the parameters where stabilization is possible is found. In the case of Kerr nonlinearity management, it is shown that the effective $χ^{(2)}$ nonlinearity depends on the intensity imbalance between fundamental (FH) and second (SH) harmonics. Predictions obtained from the averaged equations are confirmed by numerical simulations of the full PDE's.
