On Rossby waves modified by weak sinusoidal shearShepherd, T. G. (1988) On Rossby waves modified by weak sinusoidal shear. Geophysical & Astrophysical Fluid Dynamics, 40 (3-4). pp. 225-237. ISSN 1029-0419 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1080/03091928808208826 Abstract/SummaryThe spatial structure of beta-plane Rossby waves in a sinusoidal basic zonal flow U 0cos(γ,y) is determined analytically in the (stable) asymptotic limit of weak shear, U 0γ2 0/β≈1. The propagating neutral normal modes are found to take their greatest amplitude in the region of maximum westerly flow, while their most rapid phase variation is achieved in the region of maximum easterly flow. These results are shown to be consistent with what is obtained by ray-tracing methods in the limit of small meridional disturbance wavelength.
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