Effective phononic crystals for non-Cartesian elastic wave propagation

Effective phononic crystals for non-Cartesian elastic wave propagation
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DOI:
10.1103/physrevb.102.134308
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发表时间:
2020-08
期刊:
影响因子:
3.7
通讯作者:
Ignacio Arretche;K. Matlack
Ignacio Arretche;K. Matlack
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Ignacio Arretche;K. Matlack

文献摘要

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我们引入了有效声子晶体的概念,它将周期性与变化的各向同性材料性质结合起来,在非笛卡尔基础上迫使弹性运动方程中的周期系数。周期系数允许使用Bloch定理计算能带结构。利用这种能带结构,我们证明了在柱面传播波中可以获得带隙和拓扑保护的界面模。通过有效的声子晶体,我们展示了如何在近场效应不可忽略的近源区域实现笛卡尔声子晶体的行为。
We introduce the concept of effective phononic crystals, which combine periodicity with varying isotropic material properties to force periodic coefficients in the elastic equations of motion in a non-Cartesian basis. Periodic coefficients allow for band structure calculation using Bloch theorem. Using the band structure, we demonstrate band gaps and topologically protected interface modes can be obtained in cylindrically propagating waves. Through effective phononic crystals, we show how behaviors of Cartesian phononic crystals can be realized in regions close to sources, where near field effects are non-negligible.