Spatiotemporal dynamics in a twisted, circular waveguide array

Spatiotemporal dynamics in a twisted, circular waveguide array
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扭曲圆形波导阵列中的时空动力学

DOI:
10.1111/sapm.12511
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发表时间:
2022
影响因子:
2.7
通讯作者:
Zweck, John
Zweck, John
中科院分区:
数学3区
文献类型:
--
作者:
Parker, Ross;Shen, Yannan;Aceves, Alejandro;Zweck, John

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研究了光脉冲在扭曲多芯光纤中传输的非线性离散局域解的存在性和谱稳定性。通过考虑偶数N个波导,我们推导出解的渐近表达式,其中大部分光强度集中为限制在单个波导中的类孤子脉冲。得到的首阶项与数值计算结果符合得很好。此外,在没有时间色散的模型中,当扭曲参数,π,由π =π/N$\phi = \pi/N$,这些驻波表现出光学抑制,其中一个单一的波导保持未激发,领先的秩序。光谱计算和数值演化实验表明,这些驻波的解决方案是稳定的耦合参数小于临界值的值,在这一点上的光谱不稳定性的结果,从碰撞的内部本征值与本征值在原点。这个临界值在π =π/N$\phi = \pi/N$时有一个最大值。
We consider the existence and spectral stability of nonlinear discrete localized solutions representing light pulses propagating in a twisted multicore 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 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$\phi = \pi/N$, 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$\phi = \pi/N$.
绞合多芯光纤中的驻波解决方案
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