Ögren Magnus, Abdullaev Fatkhulla Kh, Konotop Vladimir V
Opt Lett. 2017 Oct 15;42(20):4079-4082. doi: 10.1364/OL.42.004079.
We consider the existence and stability of solitons in a χ coupler. Both the fundamental and second harmonics (SHs) undergo gain in one of the coupler cores and are absorbed in the other one. The gain and loss are balanced, creating a parity-time (PT) symmetric configuration. We present two types of families of PT-symmetric solitons having equal and different profiles of the fundamental and SHs. It is shown that the gain and loss can stabilize solitons. The interaction of stable solitons is shown. In the cascading limit, the model is reduced to the PT-symmetric coupler with effective Kerr-type nonlinearity and the balanced nonlinear gain and loss.
我们研究了χ耦合器中孤子的存在性和稳定性。基波和谐波（SHs）在耦合器的一个芯中经历增益，而在另一个芯中被吸收。增益和损耗相互平衡，形成了一个宇称时间（PT）对称结构。我们给出了两类PT对称孤子族，它们的基波和谐波具有相同和不同的分布。结果表明，增益和损耗可以使孤子稳定。展示了稳定孤子之间的相互作用。在级联极限下，该模型简化为具有有效克尔型非线性以及平衡非线性增益和损耗的PT对称耦合器。
