基于分环谐振器的左手共面波导中的有理解模式

IF 2.1 3区 物理与天体物理 Q2 ACOUSTICS
Alphonse Houwe , Souleymanou Abbagari , Lanre Akinyemi , Ayman A. Ghfar , Hijaz Ahmad , Doka Yamigno Serge
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引用次数: 0

摘要

我们在基于分裂环谐振器的左手共面波导中探索了一阶和二阶的有理解,并研究了调制不稳定性。这项研究受到了 Abbagari 等人(0000 年)研究的启发,在他们的研究中,孤子流氓波结构被推导为调制不稳定性增长率的表现形式。根据这一论点,我们利用扰动法推导出 Kundu-Eckhaus 方程,分析了高阶流氓波的特征。除了这些发现,我们还认识到流氓波结构是在左手频段传播的。我们还注意到,当非线性系数和色散系数的乘积为正数时,调制不稳定性会在频段内增长。通过数值模拟,我们开发出了流氓波对象,证实了我们的分析预测。本研究涉及的另一个重要方面是调制不稳定性和高阶流氓波对通过电压相关电容和扰动波数的三阶扩展引入的归一化参数的敏感性。对于特定的传播时间,长寿命结果同样得到了验证。这些结果未来可用于左手超材料的多种应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Patterns of rational solutions in a split-ring-resonator-based left-handed coplanar waveguide

The exploration of rational solutions of first and second orders, along with the investigation of modulation instability, has been conducted in the left-handed coplanar waveguide based on split-ring resonators. This study is inspired by the research of Abbagari et al. (0000), where solitonic rogue wave structures were derived as manifestations of the growth rate of modulation instability. Under this argument, we have used the perturbations method to derive the Kundu–Eckhaus equation to analyze the characteristics of the high-order rogue waves. Beside these findings, we have realized that rogue wave structures are propagated in the left-handed frequency bands. We also notice that modulation instability growth develops in the frequency bands when the product of the nonlinearity coefficient and dispersion coefficient is positive. Through a numerical simulation, we have developed the rogue wave objects to confirm our analytical predictions. Another significant aspect addressed in this study is the sensitivity of both modulation instability and higher-order rogue waves to the normalized parameter introduced through the third-order expansion of the voltage-dependent capacitance and perturbed wave number. The long-lived results have been equally validated for specific times of propagation. These results could be used in the future in left-handed metamaterials for several applications.

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来源期刊
Wave Motion
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.
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