Non-Fourier heat conduction models assume wave-like behavior does exist in the heat conduction process. Based on this wave-like behavior, thermal conduction controlled in a one-dimensional periodical structure, named thermal wave crystal, has been demonstrated through both theoretical analysis and numerical simulation based on the Cattaneo-Vernotte (CV) heat-conduction model. The transfer matrix method and Bloch analysis have been applied to calculate the band structure of thermal wave propagating in thermal wave crystals. And the temperature responses are obtained by using the FDTD method, which is also used to verify the correctness of the band structure. The results show that band gaps do exist due to the Bragg scattering. Then, a calculation method to predict the mid-gap frequency of band gaps for the thermal wave crystal has been introduced in this Letter. And key parameters determining the band gaps have been discussed. This study shows the potential applications of this novel mechanism, such as thermal imagining, thermal diodes and thermal waveguides.

中文翻译：

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热波晶体减热

非傅立叶热传导模型假设热传导过程中确实存在波状行为。基于这种波状行为，已经通过基于 Cattaneo-Vernotte (CV) 热传导模型的理论分析和数值模拟证明了在一维周期性结构中控制的热传导，称为热波晶体。应用传递矩阵法和Bloch分析法计算了热波晶体中热波传播的能带结构。并且利用FDTD方法得到温度响应，也用于验证能带结构的正确性。结果表明，由于布拉格散射，带隙确实存在。然后，本文介绍了一种预测热波晶体带隙中带隙频率的计算方法。并讨论了决定带隙的关键参数。这项研究展示了这种新机制的潜在应用，例如热成像、热二极管和热波导。