In this work we present the theoretical and experimental verification of complete phononic band gaps in the Yablonovite structure with additional spheres in a face-centered cubic arrangement. The Finite Difference Time Domain method was used in the calculations of band structure and transmission spectrum. Different spatial directions and different polarizations of the incident acoustic field were investigated numerically and experimentally. Phononic band gaps in the acoustic band structure and in the transmission spectrum were calculated for all the examined cases of spatial directions and polarizations. The complete band gaps of the theoretical findings were confirmed by experimental measurements of 3D-printed prototype samples. All results are in very good agreement and validate complete phononic band gaps in these structures.

中文翻译：

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具有球体的 3D Yablonovite 结构中的完整声子带隙

在这项工作中，我们展示了 Yablonovite 结构中完整声子带隙的理论和实验验证，其中附加球体呈面心立方排列。有限差分时域方法用于计算带结构和传输频谱。通过数值和实验研究了入射声场的不同空间方向和不同极化。对于空间方向和极化的所有检查情况，计算了声带结构和透射谱中的声子带隙。通过 3D 打印原型样品的实验测量证实了理论发现的完整带隙。所有结果都非常一致，并验证了这些结构中的完整声子带隙。