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Slow waves in locally resonant metamaterials line defect waveguides

机译:局部共振超材料中的慢波线缺陷波导

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摘要

In the past decades, many efforts have been devoted to the temporalmanipulation of waves, especially focusing on slowing down their propagation.In electromagnetism, from microwave to optics, as well as in acoustics or forelastic waves, slow wave propagation indeed largely benefits both applied andfundamental physics. It is for instance essential in analog signal computingthrough the design of components such as delay lines and buffers, and it is oneof the prerequisite for increased wave/matter interactions. Despite theinterest of a broad community, researches have mostly been conducted in opticsalong with the development of wavelength scaled structured composite media,that appear promising candidates for compact slow light components. Yet theirminimum structural scale prevents them from being transposed to lowerfrequencies where wavelengths range from sub-millimeter to meters. In thisarticle, we propose to overcome this limitation thanks to the deepsub-wavelength scale of locally resonant metamaterials. In our approach,implemented here in the microwave regime, we show that introducing coupledresonant defects in such composite media allows the creation of deepsub-wavelength waveguides. We experimentally demonstrate that waves, whilepropagating in such waveguides, exhibit largely reduced group velocities. Wequalitatively explain the mechanism underlying this slow wave propagation andfirst experimentally demonstrate, then numerically verify, how it can be takenadvantage of to tune the velocity, achieving group indices ng as high as 227over relatively large bandwidths. We conclude by highlighting the threebeneficial consequences of our line defect slow wave waveguides in locallyresonant metamaterials: the deep sub-wavelength scale, the very large groupindices and the fact that slow wave propagation does not occur at the expenseof drastic bandwidth reductions.
机译:在过去的几十年中,人们对波的时间操纵做出了许多努力,特别是着重于减慢波的传播。在电磁学中,从微波到光学,以及在声学波或前弹性波中,慢波的传播确实对应用和基础都大有裨益。物理。例如,它对于通过延迟线和缓冲器等组件的设计在模拟信号计算中必不可少,并且它是增加波/物质相互作用的先决条件之一。尽管有广泛的社会兴趣,但随着波长缩放结构化复合介质的发展,大部分研究都在光学光学领域进行,这似乎是紧凑的慢光组件的有希望的候选者。然而,它们的最小结构规模阻止了它们转置到波长范围从亚毫米到米的较低频率。在本文中,由于局部共振超材料的深亚波长范围,我们建议克服这一限制。在我们的方法中(在微波状态下实现),我们表明在此类复合介质中引入耦合共振缺陷可以创建深亚波长波导。我们通过实验证明,波在此类波导中传播时,会表现出极大的群速度降低。我们定性地解释了这种慢波传播的机理,并首先通过实验证明,然后进行数值验证,如何利用它来调节速度,从而在相对较大的带宽上达到高达227的群指数。最后,我们着重强调了线缺陷慢波波导在局部共振超材料中的三项有益后果:深亚波长尺度,非常大的群指数以及不发生慢波传播而不以大幅降低带宽为代价的事实。

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