Rudnick Amitay, Marom Dan M
Department of Applied Physics, Hebrew University of Jerusalem, Jerusalem, Israel.
Opt Express. 2011 Dec 5;19(25):25570-82. doi: 10.1364/OE.19.025570.
We investigate and analyze temporal soliton interactions with a dispersive truncated Airy pulse traveling in a nonlinear fiber at the same center wavelength (or frequency), via split step Fourier numerical simulation. Truncated Airy pulses, which remain self-similar during propagation and have a ballistic trajectory in the retarded time frame, can interact with a nearby soliton by its accelerating wavefront property. We find by tracking the fundamental parameters of the emergent soliton-time position, amplitude, phase and frequency-that they alter due to the primary collision with the Airy main lobe and the continuous co-propagation with the dispersed Airy background. These interactions are found to resemble coherent interactions when the initial time separation is small and incoherent at others. This is due to spectral content repositioning within the Airy pulse, changing the nature of interaction from coherent to incoherent. Following the collision, the soliton intensity oscillates as it relaxes. The initial parameters of the Airy pulse such as initial phase, amplitude and time position are varied to better understand the nature of the interactions.
我们通过分步傅里叶数值模拟，研究并分析了在非线性光纤中以相同中心波长（或频率）传播的色散截断艾里脉冲与时间孤子之间的相互作用。截断艾里脉冲在传播过程中保持自相似性，并且在延迟时间框架内具有弹道轨迹，它可以通过其加速波前特性与附近的孤子相互作用。通过跟踪出现的孤子的基本参数——时间位置、幅度、相位和频率——我们发现，由于与艾里主峰的初次碰撞以及与色散艾里背景的持续共传播，这些参数会发生变化。我们发现，当初始时间间隔较小时，这些相互作用类似于相干相互作用，而在其他情况下则是非相干的。这是由于艾里脉冲内的光谱内容重新定位，改变了相互作用的性质，从相干变为非相干。碰撞之后，孤子强度在弛豫过程中振荡。改变艾里脉冲的初始参数，如初始相位、幅度和时间位置，以更好地理解相互作用的性质。
