Please use this identifier to cite or link to this item: https://hdl.handle.net/10321/1095
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dc.contributor.authorMcKenzie, J. F.en_US
dc.date.accessioned2014-07-15T08:32:10Z-
dc.date.available2014-07-15T08:32:10Z-
dc.date.issued2014-05-06-
dc.identifier.citationJ.F. McKenzie. 2014. The group velocity and radiation pattern of Rossby waves. Geophysical & Astrophysical Fluid Dynamics, DOI: 10.1080/03091929.2014.896459en_US
dc.identifier.issn0309-1929-
dc.identifier.urihttp://hdl.handle.net/10321/1095-
dc.description.abstractThe propagation properties of mid-latitude Rossby waves are well known and are usually revealed in terms of the dispersion equation either in its diagnostic or wave normal forms, both of which show that phase propagation is entirely westward and is permitted only if the wave frequency is less than a certain critical frequency. Here we show that the group velocity diagram is an ellipse whose focus lies at the origin. This simple result supplements the Longuet-Higgins (1964) interpretation in which the wave normal curve is an offset circle, in elucidating the propagation properties of Rossby waves. In the case of a general β, which describes both topographic zonal variations as well as the latitudinal and spatial variations of the Coriolis effect, we show that these results hold through a rotation to a new set of coordinates. The stationary phase method shows that the radiation pattern generated by a time harmonic spatially compact source consists of two sets of hyperbolae exhibiting westward pointing “Mach-Froude” like lines, in a manner analogous to the generation of capillary-gravity waves by a moving object on the surface of deep water. These results are confirmed by the Green’s function for the system which consists of a westward propagating wave superimposed on the Hankel function of zero order, appropriate to the 2-D Helmholtz equation.en_US
dc.format.extent12 pen_US
dc.language.isoenen_US
dc.publisherTaylor & Francisen_US
dc.relation.ispartofGeophysical and astrophysical fluid dynamicsen_US
dc.subjectGroup velocityen_US
dc.subjectRadiation patterns for Rossby wavesen_US
dc.titleThe group velocity and radiation pattern of Rossby wavesen_US
dc.typeArticleen_US
dc.publisher.urihttp://dx.doi.org/10.1080/03091929.2014.896459en_US
dc.dut-rims.pubnumDUT-004026en_US
dc.identifier.doihttp://dx.doi.org/10.1080/03091929.2014.896459-
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item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.languageiso639-1en-
item.openairetypeArticle-
item.grantfulltextopen-
item.cerifentitytypePublications-
Appears in Collections:Research Publications (Applied Sciences)
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