Anomalous transmission of phonons in superlattices at oblique propagation: an analysis based on finite difference equations
Anomalous transmission of phonons in superlattices at oblique propagation: an analysis based on finite difference equations
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超晶格中声子倾斜传播的反常传输：基于有限差分方程的分析
DOI：
10.1088/0953-8984/9/32/003
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
S. Tamura
中科院分区：
文献类型：
--
作者：
Hatsuyoshi Kato;S. Tamura
基于声子斜向超晶格层界面传播的透射幅值的新公式，研究了声子的异常模转换传输。介绍了一个能很好地描述纵向和横向耦合声子在各向同性模型中的传输的传递矩阵。利用这个传递矩阵，我们可以推导出控制纵向声子和横向声子透射振幅的有限差分方程。这些方程对于周期超晶格可以精确求解，对于某些非周期超晶格可以近似求解。将所得结果应用于变厚度的周期超晶格和非周期超晶格中声子传输的异常模间振荡的研究。
Anomalous mode-converted transmission of phonons is studied based on the new formulas for the transmitted amplitudes of phonons propagating oblique to the layer interfaces of superlattices. A transfer matrix which well describes the transmission of the coupled longitudinal and transverse phonons in an isotropic model is introduced. With the use of this transfer matrix we can derive finite difference equations which govern the transmitted amplitudes of both the longitudinal and transverse phonons. These equations can be solved exactly for periodic superlattices and approximately for certain aperiodic superlattices. The results are applied to the study of the unusual intermode oscillations in phonon transmission in both periodic superlattices and aperiodic superlattices with variable thickness of bilayers.