曲面喜爱和曲面回避模式
Surface Loving and Surface Avoiding modes
摘要：
我们从理论上研究了声波在GaAs/AlAs超晶格中的传播，主要研究了带隙附近的周期模。基于分析和数值计算，我们表明，这些模式的产品的快速振荡功能的时间缓慢变化的包络函数。我们仔细研究相的包络函数相比，表面的半无限超晶格。特别地，超晶格相对于其表面的退相是关键参数。我们展示了两种模式：表面回避和表面爱模式，其包络函数有其最小值和最大值的表面附近。最后，我们考虑这种模式的可观测性。虽然已经在实验上观察到表面避免模式（Phys.Rev.Lett. 97，1224301（2006）），我们表明表面热爱模式可能是可观察的，并讨论了此类实验的成就。所提出的方法可以很容易地移植到其他类型的波在一维半无限周期结构的传播，如光子布拉格镜。
英文摘要：
We theoretically study the propagation of sound waves in GaAs/AlAs superlattices focussing on periodic modes in the vicinity of the band gaps. Based on analytical and numerical calculations, we show that these modes are the product of a quickly oscillating function times a slowly varying envelope function. We carefully study the phase of the envelope function compared to the surface of a semi-infinite superlattice. Especially, the dephasing of the superlattice compared to its surface is a key parameter. We exhibit two kind of modes: Surface Avoiding and Surface Loving Modes whose envelope functions have their minima and respectively maxima in the vicinity of the surface. We finally consider the observability of such modes. While Surface avoiding modes have experimentally been observed (Phys. Rev. Lett. 97, 1224301 (2006)), we show that Surface Loving Modes are likely to be observable and we discuss the achievement of such experiments. The proposed approach could be easily transposed to other types of wave propagation in unidimensional semi-infinite periodic structures as photonic Bragg mirror.
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