具有pt对称和时间调制的非局部弹性晶格:从完美的俘获到波回旋效应

IF 4.5 3区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY
Emanuele Riva
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引用次数: 0

摘要

波的运动基本上受到介质色散特性的限制,这使得引导波包沿着期望的轨迹变得具有挑战性,甚至是不可能的,特别是当需要进行波的反演时。本文阐述了具有时变非局部反馈相互作用的一维(1D)和二维(2D)非厄米弹性晶格如何提供前所未有的波导。在保持非局域相互作用pt对称性的同时,通过放宽hermite约束,本文建立了一个色散从正群速度向负群速度转变的框架,该框架通过一个中间区域,其特征是在所有动量上都有一个完美的平坦带。这种效应是在完整的pt对称相位中实现的,通过晶格参数的时间调制进一步增强,从而解锁诸如完美捕获(波包被故意停止)和波回旋效应(波包被逆转或引导回其初始位置)等功能。本文提出的框架揭示了超越波导的机会,包括通过弹性介质中的色散工程进行信息处理。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Non-local elastic lattices with PT-symmetry and time modulation: From perfect trapping to the wave boomerang effect
Wave motion is fundamentally constrained by the dispersion properties of the medium, often making it challenging — or even impossible — to guide wave packets along desired trajectories, particularly when wave inversion is required. The paper illustrates how one-dimensional (1D) and two-dimensional (2D) non-Hermitian elastic lattices with time-varying non-local feedback interactions offer unprecedented wave guidance. By relaxing the constraint of Hermiticity while preserving PT-symmetry of the nonlocal interactions, it is herein built a framework where the dispersion transitions from positive to negative group velocity, passing through an intermediate regime characterized by a perfectly flat band across all momenta. This effect, realized within the unbroken PT-symmetric phase, is further enhanced by the time modulation of lattice parameters, thereby unlocking functionalities such as perfect trapping, where a wave packet is intentionally stopped, and the wave boomerang effect, where the wave packet is reversed or guided back to its initial position. The framework presented in this paper unlocks opportunities that extend beyond wave guidance, including information processing through dispersion engineering in elastic media.
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来源期刊
Extreme Mechanics Letters
Extreme Mechanics Letters Engineering-Mechanics of Materials
CiteScore
9.20
自引率
4.30%
发文量
179
审稿时长
45 days
期刊介绍: Extreme Mechanics Letters (EML) enables rapid communication of research that highlights the role of mechanics in multi-disciplinary areas across materials science, physics, chemistry, biology, medicine and engineering. Emphasis is on the impact, depth and originality of new concepts, methods and observations at the forefront of applied sciences.
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