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High-Frequency Susceptibility of a Superlattice with 2D Inhomogeneities

机译:具有二维不均匀性的超晶格的高频磁化率

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We investigate the high-frequency susceptibility (Green function) of an initially sinusoidal 1D superlattice with 2D phase inhomogeneities that model the deformations of the interfaces between the superlattice layers. For waves propagating along the superlattice axis ( the geometry of a photon or magnon crystal), we have found a peculiar behavior of the imaginary part of the Green function that consists in a significant difference between the peaks corresponding to the edges of the band gap in the wave spectrum. The peak corresponding to the lower-frequency band edge remains essentially unchanged as the root-mean-square fluctuation of the 2D inhomogeneities. 2 increases, while the peak corresponding to the higher-frequency band edge broaden and decreases sharply in height until its complete disappearance with increasing gamma(2). This behavior of the peaks corresponds to a band gap closure mechanism that differs from the traditional one characteristic of 1D and 3D inhomogeneities. These effects can be explained by a peculiarity of the energy conservation laws for the incident and scattered waves for 2D inhomogeneities in a 1D superlattice.
机译:我们研究了具有二维相位不均匀性的初始正弦形一维超晶格的高频磁化率(格林函数),该二维模型对超晶格层之间的界面变形进行了建模。对于沿超晶格轴(光子或磁振子晶体的几何形状)传播的波,我们发现格林函数虚部的特殊行为,在于对应于带隙边缘的峰之间存在显着差异。波谱。随着2D不均匀性的均方根波动,对应于较低频带边缘的峰基本上保持不变。 2增大,而对应于较高频带边缘的峰变宽并在高度上急剧减小,直到其随着gamma(2)的增大而完全消失。峰的这种行为对应于带隙闭合机制,该机制不同于1D和3D不均匀性的传统一个特征。这些影响可以通过一维超晶格中2D不均匀性的入射能量守恒律和散射波的特殊性来解释。

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