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利用多散射方法研究了长波条件下二维声子晶体中弹性波的传播特性.由长波条件下散射体幂散射特性和结构周期特性分析得到了等效波速的解析表达式.通过对幂散射波各阶分波之间由于结构周期特性而产生的耦合作用进行分析,发现幂散射波的正负二阶分量之间的耦合作用具有明显的方向性,长波条件下弹性波的传播特性是否具有各向异性取决于幂散射波的二阶分量在多散射过程中是否有明显的作用.
The propagation characteristics of elastic wave in two-dimensional phononic crystals under long-wave condition are studied by using multi-scattering method. The analytical expression of equivalent wave velocity is obtained from the analysis of power scattering and structural periodicity under long wavelength. It is found that the coupling between positive and negative second-order components of power-scattered waves has obvious directionality. Whether the propagation characteristics of elastic waves under long-wave conditions have The anisotropy depends on whether the second-order component of the power-scattered wave has a significant effect on the multi-scattering process.