快速参数不均匀性下克尔腔时间孤子的动力学：从双色驱动到三阶色散
Dynamics of temporal Kerr cavity solitons in the presence of rapid parameter inhomogeneities: from bichromatic driving to third-order dispersion
摘要：
时间克尔腔孤子是一种可以在相干驱动的色散腔中持续存在的光脉冲，具有克尔型非线性。人们普遍认为，这种孤子的反应参数的不均匀性经历的时间漂移的速率是由孤子的位置的参数的梯度。然而，该结果假设非均匀性的梯度在孤子上是恒定的，这可能在所有情况下都不成立，例如，当使用双色驱动或存在三阶色散时，会产生扩展的色散波尾。在这里，我们报告的理论和数值结果有关的耗散时间克尔腔孤子的行为的条件下，参数不均匀性非线性变化的孤子的宽度。在这种情况下，孤子的速度是由它的所谓的中性模式和参数扰动，我们可以产生动力学，这显然是在不一致的共同智慧的运动只依赖于梯度的不均匀性之间的完全重叠。我们还研究了三阶色散和相关色散波尾的存在如何改变参数不均匀性引起的运动。我们发现，色散波尾本身并不有助于孤子运动，相反，高阶色散产生反直观的影响孤子运动。我们的研究结果提供了新的见解的时间腔孤子的参数不均匀性的存在下的行为，并可以影响系统采用脉冲或双色泵浦和/或谐振器具有不可忽略的高阶色散。
英文摘要：
Temporal Kerr cavity solitons are pulses of light that can persist in coherently-driven, dispersive resonators with Kerr-type nonlinearity. It is widely accepted that such solitons react to parameter inhomogeneities by experiencing a temporal drift whose rate is governed by the gradient of the parameter at the soliton's position. This result, however, assumes that the gradient of the inhomogeneity is constant across the soliton, which may not hold true under all situations, e.g. when using bichromatic driving or in the presence of third-order dispersion that gives rise to an extended dispersive wave tail. Here we report on theoretical and numerical results pertaining to the behavior of dissipative temporal Kerr cavity solitons under conditions where parameter inhomogeneities vary nonlinearly across the width of the soliton. In this case, the soliton velocity is dictated by the full overlap between its so-called neutral mode and the parameter perturbation, which we show can yield dynamics that are manifestly at odds with the common wisdom of motion dependent solely upon the gradient of the inhomogeneity. We also investigate how the presence of third-order dispersion and the associated dispersive wave tail changes the motion induced by parameter inhomogeneities. We find that the dispersive wave tail as such does not contribute to the soliton motion; instead, higher-order dispersion yields counter-intuitive influences on the soliton motion. Our results provide new insights to the behavior of temporal cavity solitons in the presence of parameter inhomogeneities, and can impact systems employing pulsed or bichromatic pumping and/or resonators with non-negligible higher-order dispersion.
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