论文标题
扭曲的圆形波导阵列中的时空动力学
Spatiotemporal dynamics in a twisted, circular waveguide array
论文作者
论文摘要
我们考虑非线性离散局部溶液的存在和光谱稳定性，代表在扭曲的多核光纤中传播的光脉冲。通过考虑均匀的$ n $波导，我们为解决方案得出了渐近表达式，其中大部分光强度被浓缩为局限于单个波导的孤子状脉冲。获得的领先顺序术语与数值计算的结果非常吻合。此外，就像在没有时间分散的模型中一样，当扭曲参数（$ ϕ $）由$ ϕ =π/n $给出时，这些站立波会显示出光学抑制，其中单个波导保持未偏见，以达到领先顺序。光谱计算和数值进化实验表明，对于耦合参数的值小于临界值而言，这些常规溶液是稳定的，在这一点上，光谱不稳定性是由于内部特征值与原始特征值的碰撞所致。当$ ϕ =π/n $时，此临界值最大。
We consider the existence and spectral stability of nonlinear discrete localized solutions representing light pulses propagating in a twisted multi-core optical fiber. By considering an even number, $N$, of waveguides, we derive asymptotic expressions for solutions in which the bulk of the light intensity is concentrated as a soliton-like pulses confined to a single waveguide. The leading order terms obtained are in very good agreement with results of numerical computations. Furthermore, as in the model without temporal dispersion, when the twist parameter, $ϕ$, is given by $ϕ= π/N$, these standing waves exhibit optical suppression, in which a single waveguide remains unexcited, to leading order. Spectral computations and numerical evolution experiments suggest that these standing wave solutions are stable for values of the coupling parameter less than a critical value, at which point a spectral instability results from the collision of an internal eigenvalue with the eigenvalues at the origin. This critical value has a maximum when $ϕ= π/N$.
