Rogue wave formation by accelerated solitons at an optical event horizon
Rogue wave formation by accelerated solitons at an optical event horizon
复制标题
DOI：
10.1007/s00340-013-5609-9
复制
发表时间：
2014-06-01
影响因子：
2.1
通讯作者：
Steinmeyer, G.
中科院分区：
文献类型：
--
作者：
Demircan, A.;Amiranashvili, Sh;Steinmeyer, G.
根据定义，流氓波是罕见的极端振幅事件。与此同时，它们令人惊讶地无处不在，因为它们可以存在于广泛的物理环境中，并且具有比正态高斯分布更重的尾部的概率分布。虽然已经证明了许多机制来解释各种特定系统中的异常波的出现，但没有已知的通用机制或通用标准集来控制它们的出现。假设只有一个非线性薛定谔型方程的存在，以及一个凹的色散分布在零色散波长附近，我们证明了孤子可能会经历加速和强烈的整形，由于与连续辐射的相互作用，引起极值现象。该机制似乎广泛独立于特定于光学背景的相互作用，例如，拉曼效应或在其它支持波的物理系统中没有等效物的其它散射过程。在我们的系统中，通过整形可以出现峰值功率的强烈增加，而脉冲能量几乎是守恒的。所提出的重塑引起的流氓波外观的保守性使得这种机制特别强大。
Rogue waves, by definition, are rare events of extreme amplitude. At the same time, they are surprisingly ubiquitous, in the sense that they can exist in a wide range of physical contexts and possess probability distributions that exhibit heavier tails than the normal Gaussian distribution. While many mechanisms have been demonstrated to explain the appearance of rogue waves in various specific systems, there is no known generic mechanism or general set of criteria shown to rule their appearance. Presupposing only the existence of a nonlinear Schrodinger-type equation together with a concave dispersion profile around a zero-dispersion wavelength, we demonstrate that solitons may experience acceleration and strong reshaping due to the interaction with continuum radiation, giving rise to extreme-value phenomena. The mechanism appears to be widely independent from interactions specific to the optical context, e.g., the Raman effect or other scattering processes that have no equivalent in other wave-supporting physical systems. In our system, a strong increase in the peak power may appear via reshaping while the pulse energy is nearly conserved. The conservative nature of the proposed reshaping-induced appearance of rogue waves makes this mechanism particularly robust.