多辐射和对流区中波传输的增强
Enhancement of wave transmissions in multiple radiative and convective zones
摘要：
本文研究了旋转流体中对流稳定层和不稳定层交替存在时的波动问题。我们已经讨论了两种不同情况下的波传输：波在每一层中传播的情况和波隧穿发生的情况。我们发现，有效的波传输可以实现“共振传播”或“共振隧穿”，即使稳定层强烈分层，我们称之为“增强波传输”的现象。增强的波传输仅在总层数为奇数时发生（嵌入稳定层交替地嵌入夹持对流层内，或反之亦然）。对于波传播，增强的波传输的发生要求夹持层具有相似的性质，每个夹持层的厚度接近于对应的传播波的半波长的倍数，并且嵌入层的总厚度接近于对应的传播波（谐振传播）的半波长的倍数。对于波隧穿，我们考虑了两种情况：重力波隧穿和惯性波隧穿。在这两种情况下，有效的隧穿要求钳位层具有相似的性质，每个嵌入层的厚度远小于对应的e折叠衰减距离，并且每个钳位层的厚度接近半波长的倍数半（共振隧穿）。
英文摘要：
In this paper, we study wave transmission in a rotating fluid with multiple alternating convectively stable and unstable layers. We have discussed wave transmissions in two different circumstances: cases where the wave is propagative in each layer and cases where wave tunneling occurs. We find that efficient wave transmission can be achieved by `resonant propagation' or `resonant tunneling', even when stable layers are strongly stratified, and we call this phenomenon `enhanced wave transmission'. Enhanced wave transmission only occurs when the total number of layers is odd (embedding stable layers are alternatingly embedded within clamping convective layers, or vise versa). For wave propagation, the occurrence of enhanced wave transmission requires that clamping layers have similar properties, the thickness of each clamping layer is close to a multiple of the half wavelength of the corresponding propagative wave, and the total thickness of embedded layers is close to a multiple of the half wavelength of the corresponding propagating wave (resonant propagation). For wave tunneling, we have considered two cases: tunneling of gravity waves and tunneling of inertial waves. In both cases, efficient tunneling requires that clamping layers have similar properties, the thickness of each embedded layer is much smaller than the corresponding e-folding decay distance, and the thickness of each clamping layer is close to a multiple-and-a-half of half wavelength (resonant tunneling).
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