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Parametric resonance in periodically tapered optical fibres: Scalar and vectorial modulational instability bands

机译:周期性锥形光纤中的参数共振:标量和矢量调制不稳定性带

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Parametric resonance (PR) is a well-known instability phenomenon which occurs in systems the parameters of which are varied periodically during evolution [1]. It is natural that such a general phenomenon was associated to the equally important instability process that is ubiquitous in nonlinear optics: modulational instability (MI). The link between PR and MI has been established in relation to the periodic re-amplification of signals in long-haul telecommunication optical cables [2]. However photonic crystal fibres (PCFs), owing to their group velocity dispersion (GVD) landscape and improved confinement properties, permit to observe this phenomenon on a much shorter length scale (metres instead of kilometres). Moreover a smooth sinusoidal variation of parameters can be achieved. In this work we report on the existence of MI bands in the normal dispersion regime which are accurately explained as a PR phenomenon. They occur both in the scalar nonlinear Schrödinger (NLS) and in the vectorial NLS [e.g. for highly birefringent fibres (HBF)] propagation equations.
机译:参数共振(PR)是一种众所周知的不稳定性现象,它发生在系统的参数不断变化的系统中[1]。很自然地,这种普遍现象与非线性光学中普遍存在的同等重要的不稳定性过程有关:调制不稳定性(MI)。 PR和MI之间的联系已经建立,涉及到远程电信光缆中信号的周期性重新放大[2]。但是,由于光子晶体光纤(PCFs)的群速度色散(GVD)态势和改善的封闭性能,它可以在更短的长度范围(米而非千米)上观察到此现象。此外,可以实现参数的平滑正弦变化。在这项工作中,我们报告了正常色散状态下MI波段的存在,这些波段被准确地解释为PR现象。它们在标量非线性Schrödinger(NLS)和矢量NLS [例如对于高双折射光纤(HBF)的传播方程。

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