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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Bright breathers in nonlinear left-handed metamaterial lattices
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Bright breathers in nonlinear left-handed metamaterial lattices

机译：非线性左手超材料格子的明亮呼吸

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摘要

In the present work, we examine a prototypical model for the formation of bright breathers in nonlinear left-handed metamaterial lattices. Utilizing the paradigm of nonlinear transmission lines, we build a relevant lattice and develop a quasi-continuum multiscale approximation that enables us to appreciate both the underlying linear dispersion relation and the potential for bifurcation of nonlinear states. We focus here, more specifically, on bright discrete breathers which bifurcate from the lower edge of the linear dispersion relation at wavenumber k = pi. Guided by the multiscale analysis, we calculate numerically both the stable inter-site centered and the unstable site-centered members of the relevant family. We quantify the associated stability via Floquet analysis and the Peierls-Nabarro barrier of the energy difference between these branches. Finally, we explore the dynamical implications of these findings towards the potential mobility or lack thereof (pinning) of such breather solutions.
机译：在目前的工作中，我们检查了在非线性左手超材料格子中形成明亮呼吸的原型模型。利用非线性传输线的范例，我们构建了相关的格子并开发了一种准连续式多尺度近似，使我们能够理解潜在的线性分散关系和非线性状态分叉的潜力。更具体地，我们专注于明亮的离散呼吸器，其从波数k = Pi的线性分散关系的下边缘分叉。通过多尺度分析为指导，我们计算数值稳定的位于相关族的稳定场地和不稳定的网站中心。我们通过FLOQUET分析量化相关的稳定性和这些分支之间的能量差的PEIERLS-Nabarro屏障。最后，我们探讨了这些发现对这种呼吸系统潜在移动性或缺乏（钉扎）的动态影响。

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