具有非线性系数和外部势能的高度非局部介质中的扫描器光束

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-10-31 DOI:10.1016/j.wavemoti.2024.103442

Wei-Ping Zhong , Milivoj Belić , Zhengping Yang

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引用次数: 0

摘要

斯奈德-米切尔可达孤子模型是一个简单的模型，它将高度非局部非线性介质中的孤子动力学简化为一个具有谐波势的线性动力系统。利用这一模型，我们在高度非局部介质中产生的具有非线性系数和外部势能的系统中，用变量分离和自相似变换的方法探索了它的解。我们发现该模型的一个特殊解包含 Scorer 函数，因此我们称之为 Scorer 梁。我们对 Scorer 光束在强非局部非线性介质中的传输动力学进行了分析和数值研究。在应用指数截断因子的特定条件下，Scorer 光束的演化更加稳定，收敛速度更快。我们还发现 Scorer 梁具有自弯曲和自愈合特性。我们的研究结果为生成 Scorer 梁提供了理论和数值指导，可能对未来的实验探索有用。

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Scorer beams in highly nonlocal media with a nonlinearity coefficient and an external potential

The Snyder-Mitchell model of accessible solitons is a simple model that reduces the dynamics of solitons in highly nonlocal nonlinear media to a linear dynamical system with harmonic potential. Utilizing this model in a system with a nonlinearity coefficient and an external potential generated in highly nonlocal media, we explore its solution by the methods of variable separation and self-similar transformation. We discover a special solution of the model that includes Scorer functions, for which reason we call it the Scorer beam. The transmission dynamics of the Scorer beam in strongly nonlocal nonlinear media is analytically and numerically investigated. Under the specific condition of applying an exponential truncation factor, the evolution of the Scorer beam is more stable and converges faster. We also find that the Scorer beam exhibits self-bending and self-healing characteristics. Our results provide theoretical and numerical guidance for generating Scorer beams that might prove useful for future experimental exploration.

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来源期刊

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.