Transmission and reflection of planetary and topographic Rossby waves in a two-layer ocean |
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| Authors: | Hiroshi Takeda |
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| Institution: | (1) Department of Applied Physics, Faculty of Engineering, University of Tokyo, Bunkyo-ku, 113 Tokyo, Japan |
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| Abstract: | Transmission and reflection problems when  kissing≓ occurs among planetary and topographic Rossby waves in a two-layer ocean are studied. The slope parameterS(=dh
2/dx, whereh
2is the thickness of the lower layer) is assumed to have constant values in the regionsx 0 andx L and to vary linearly with the increase ofx in the region0xL (refer to Fig. 2 in the text). Furthermore, a wave is entered fromx=– and kissing is assumed to occur in the region (0<)x
a xxb(<L).It is found that a wave of the same type as the incident wave is mainly transmitted when the width of the region in which kissing occurs,L
kiss(=tx
b–xa), is smaller than
kiss=2 /(¦K¦+
y/2 ), whereK is a representative wavenumber in the regionx
ab, y is they-component of , and is the frequency. WhenL
kiss is larger than
kiss, on the other hand, the main wave transmitted is of a different type to the incident wave. As an application, transmission and reflection problems of planetary Rossby waves are considered, and it is shown that when an external (internal) planetary Rossby wave is entered, an internal (external) one can be transmitted due to the effect of kissing. |
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| Keywords: | |
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