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In this paper, we study wave transmission in a rotating fluid with multiplealternating convectively stable and unstable layers. We have discussed wavetransmissions in two different circumstances: cases where the wave ispropagative in each layer and cases where wave tunneling occurs. We find thatefficient wave transmission can be achieved by `resonant propagation' or`resonant tunneling', even when stable layers are strongly stratified, and wecall this phenomenon `enhanced wave transmission'. Enhanced wave transmissiononly occurs when the total number of layers is odd (embedding stable layers arealternatingly embedded within clamping convective layers, or vise versa). Forwave propagation, the occurrence of enhanced wave transmission requires thatclamping layers have similar properties, the thickness of each clamping layeris close to a multiple of the half wavelength of the corresponding propagativewave, and the total thickness of embedded layers is close to a multiple of thehalf wavelength of the corresponding propagating wave (resonant propagation).For wave tunneling, we have considered two cases: tunneling of gravity wavesand tunneling of inertial waves. In both cases, efficient tunneling requiresthat clamping layers have similar properties, the thickness of each embeddedlayer is much smaller than the corresponding e-folding decay distance, and thethickness of each clamping layer is close to a multiple-and-a-half of halfwavelength (resonant tunneling).

Enhancement of wave transmissions in multiple radiative and convective zones