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High-speed soliton ejection generated from the scattering of bright solitons by modulated reflectionless potential wells
Physical Review E ( IF 2.2 ) Pub Date : 2021-09-07 , DOI: 10.1103/physreve.104.034203 T Uthayakumar 1 , L Al Sakkaf 1 , U Al Khawaja 1
Physical Review E ( IF 2.2 ) Pub Date : 2021-09-07 , DOI: 10.1103/physreve.104.034203 T Uthayakumar 1 , L Al Sakkaf 1 , U Al Khawaja 1
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We investigate numerically and theoretically the conditions leading to soliton ejection stimulated through the scattering of bright solitons by modulated reflectionless potential wells. Such potential wells allow for the possibility of controlled ejection of solitons with significantly high speeds. At the outset, we describe the scattering setup and characterize the soliton ejection in terms of the different parameters of the system. Then, we formulate a theoretical model revealing the underlying physics of soliton ejection. The model is based on energy and norm exchange between the incident soliton and a stable trapped mode corresponding to an exact solution of the governing nonlinear Schrödinger equation. Remarkably, stationary solitons can lead to high-speed soliton ejection where part of the nonlinear interaction energy transforms to translational kinetic energy of the ejected soliton. Our investigation shows that soliton ejection always occurs whenever the incident soliton norm is greater than that of the trapped mode whereas their energy is almost the same. Once the incident soliton is trapped, the excess in norm turns to an ejected soliton in addition to a small amount of radiation that share translational kinetic energy. We found that higher ejection speeds are obtained with multinode trapped modes that have higher binding energy. Simultaneous two-soliton ejection has been also induced by two solitons scattering with the potential from both of its sides. An ejection speed almost twice as that of single soliton ejection was obtained. Ejection outcome and ejection speed turn out to be sensitive to the relative phase between the two incoming solitons, which suggests a tool for soliton phase interferometry.
中文翻译：
由调制无反射势阱散射明亮孤子产生的高速孤子喷射
我们在数值上和理论上研究了导致孤子喷射的条件，这些条件是通过调制无反射势阱散射明亮孤子而激发的。这种势阱允许以非常高的速度受控地喷射孤子。首先，我们描述了散射设置并根据系统的不同参数来表征孤子喷射。然后，我们制定了一个理论模型，揭示了孤子抛射的基本物理原理。该模型基于入射孤子和与控制非线性薛定谔方程的精确解相对应的稳定俘获模式之间的能量和范数交换。值得注意的是，静止孤子可导致高速孤子抛射，其中部分非线性相互作用能转化为抛射孤子的平移动能。我们的研究表明，每当入射孤子范数大于俘获模式的范数而它们的能量几乎相同时，就会发生孤子抛射。一旦入射孤子被俘获，除了少量共享平移动能的辐射之外，范数中的多余部分会变成一个弹出的孤子。我们发现具有更高结合能的多节点俘获模式可以获得更高的喷射速度。两个孤子同时散射也引起了两个孤子的同时喷射。获得的喷射速度几乎是单孤子喷射速度的两倍。
更新日期：2021-09-07
中文翻译：
由调制无反射势阱散射明亮孤子产生的高速孤子喷射
我们在数值上和理论上研究了导致孤子喷射的条件，这些条件是通过调制无反射势阱散射明亮孤子而激发的。这种势阱允许以非常高的速度受控地喷射孤子。首先，我们描述了散射设置并根据系统的不同参数来表征孤子喷射。然后，我们制定了一个理论模型，揭示了孤子抛射的基本物理原理。该模型基于入射孤子和与控制非线性薛定谔方程的精确解相对应的稳定俘获模式之间的能量和范数交换。值得注意的是，静止孤子可导致高速孤子抛射，其中部分非线性相互作用能转化为抛射孤子的平移动能。我们的研究表明，每当入射孤子范数大于俘获模式的范数而它们的能量几乎相同时，就会发生孤子抛射。一旦入射孤子被俘获，除了少量共享平移动能的辐射之外，范数中的多余部分会变成一个弹出的孤子。我们发现具有更高结合能的多节点俘获模式可以获得更高的喷射速度。两个孤子同时散射也引起了两个孤子的同时喷射。获得的喷射速度几乎是单孤子喷射速度的两倍。
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