论文标题
部分可观测时空混沌系统的无模型预测
Elastic Temporal Waveguiding
论文作者
论文摘要
我们提供了一个理论框架，以塑造具有频率转换和波动功能的时间调节晶格。我们最初专注于1D晶状体，因此，使用足够缓慢的刚度时间调节来转换撞击波的频率含量。基于绝热定理，我们证明，可以通过仔细选择调制速度来消除不希望的反射，而不希望的反射可以消除。后来在2D晶格的上下文中探索了该概念，从而缓慢的刚度调制不仅会导致频率转换而不后散射，而且还可以作为引导波的机制。我们的论文探讨了一种新的令人兴奋的方式，可以控制具有无散射指导能力的弹性动力学的波浪传播，并可能为通过弹性波打开信息和运输信息的新途径。
We provide a theoretical framework to mold time-modulated lattices with frequency conversion and wave-steering capabilities. We initially focus on 1D lattices, whereby a sufficiently slow time-modulation of the stiffness is employed to convert the frequency content of impinging waves. Based on the adiabatic theorem, we demonstrate that undesired reflections, which emerge in time-discontinuous materials, can be eliminated by a careful choice of the modulation velocity. The concept is later explored in the context of 2D lattices, whereby a slow time modulation of the stiffness not only induces frequency conversion without back-scattering, but also serves as a mechanism to steer waves. Our paper explores a new and exciting way to control wave propagation in elastodynamics with scattering-free guiding capabilities, and may open new avenues for the manipulation and transport of information through elastic waves.
