论文标题
周期性字符串：与光子和声音晶体的机械类比
Periodic strings: a mechanical analogy to photonic and phononic crystals
论文作者
论文摘要
我们研究了一个周期性的振动字符串，该弦由定期连接的有限弦段组成，每个片段以恒定的线性质量密度为特征。主要目的是提供可以模仿光子或语音晶体的性质的配置，并且可以在本科物理实验室中实现。我们证明了这种配置显示不允许波传播的频率间隔（频率带隙），与光子和声音晶体非常类似。当改变物理参数（例如线性质量密度，振荡频率和构成整个系统的字符串数量）时，我们讨论了这些带隙的行为。还探索了一些与电子波通过凝结物质中晶格传播的类比。
We study a periodic vibrating string composed of a finite sequence of string segments connected periodically, with each segment characterized by a constant linear mass density. The main purpose is to provide a configuration that can mimic the properties of photonic or phononic crystals and could be implemented in undergraduate physics laboratories. We demonstrate that this configuration displays frequency intervals for which wave propagation is not allowed (frequency bandgaps), in close analogy to photonic and phononic crystals. We discuss the behavior of these bandgaps when varying physical parameters, such as the values of the linear mass densities, the oscillation frequency, and the number of strings constituting the entire system. Some analogies with the propagation of electronic waves through a crystal lattice in condensed matter physics are also explored.
