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Transmission and reflection of the Rossby waves in a stratified ocean with bottom topography

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Abstract

Transmission and reflection coefficients are calculated for Rossby waves incident on a bottom topography with constant slope in a continuously stratified ocean. The characteristics of the coefficients are interpreted in terms of the quasigeostrophic waves on the slope. In the parameter range where only the barotropic Rossby waves can propagate in the region outside the slope, the bottom trapped wave plays the same role as the topographic Rossby wave in a homogeneous ocean, and hence the transmission is weak unless phase matching takes place. When both of the barotropic and baroclinic Rossby waves can propagate outside the slope, the total transmission can be strong. The bottom trapped wave affects the transmission and reflection, and it leads to the possibility that the Rossby wave is transmitted as a mode different from the incident mode. When the number of the wavy modes on the slope is smaller than that of the Rossby wave modes outside the slope, strong reflection occurs.

The results for an ocean with linear distribution of the squared Brunt-Väisälä frequency are compared to those in a uniformly stratified ocean. The weakening of the stratification near the bottom is almost equivalent to reducing the effect of the slope.

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  1. Ocean Research Institute, University of Tokyo, 1-15-1, Minamidai, Nakano-ku, 164, Tokyo, Japan

    Shigeaki Aoki

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  1. Shigeaki Aoki
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Aoki, S. Transmission and reflection of the Rossby waves in a stratified ocean with bottom topography. Journal of the Oceanographical Society of Japan 45, 321–337 (1989). https://doi.org/10.1007/BF02123486

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  • DOI: https://doi.org/10.1007/BF02123486

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