Effect of Thickness of Slabs on the Surface and Interface Phonon-Polaritons in Four Layer Systems Consisting of Polar Ternary Mixed Crystals

B. Ji
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Abstract

Surface and interface phonon-polaritons in four layer heterostructure systems consisting of polar ternary mixed crystals are investigated with the modified random-element-isodisplacement model and the Born-Huang approximation,based on the Maxwell's equations with the usual boundary conditions.The numerical results of the surface and interface phonon-polariton frequencies as functions of the thickness of slabs in the GaAs/Al0.4Ga0.6As heterostructure systems are obtained and discussed.It is shown that there are seven branches of surface and interface phonon-polariton modes in heterostructure systems,and the energies of surface or interface modes of the slab change with the thickness of slab,however,the other polariton modes almost not change.
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板料厚度对极性三元混合晶体四层体系表面和界面声子极化子的影响
基于具有一般边界条件的麦克斯韦方程组,采用改进的随机元等位移模型和Born-Huang近似,研究了由极性三元混合晶体组成的四层异质结构体系中的表面和界面声子极化子。讨论了GaAs/Al0.4Ga0.6As异质结构体系中表面和界面声子极化子频率随厚度变化的数值结果。结果表明,异质结构体系中存在表面和界面声子-极化子模式的7个分支,且板的表面或界面模式的能量随板的厚度而变化,而其他极化子模式几乎不变。
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Effect of Thickness of Slabs on the Surface and Interface Phonon-Polaritons in Four Layer Systems Consisting of Polar Ternary Mixed Crystals Eigen-vector Expansion Theorem of a Class of Operator Matrices Commemorating the Past and Looking towards the Future
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