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An evaluation of the classical and extended Rossby wave theories in explaining spectral estimates of the first few baroclinic modes in the South Pacific Ocean

An evaluation of the classical and extended Rossby wave theories in explaining spectral estimates of the first few baroclinic modes in the South Pacific Ocean
An evaluation of the classical and extended Rossby wave theories in explaining spectral estimates of the first few baroclinic modes in the South Pacific Ocean
Previous literature has suggested that multiple peaks in sea level anomalies (SLA) detected by two-dimensional Fourier Transform (2D-FT) analysis are spectral components of multiple propagating signals, which may correspond to different baroclinic Rossby wave modes. We test this hypothesis in the South Pacific Ocean by applying a 2D-FT analysis to the long Rossby wave signal determined from filtered TOPEX/Poseidon and European Remote Sensing-1/2 satellite altimeter derived SLA. The first four baroclinic mode dispersion curves for the classical linear wave theory and the Killworth and Blundell extended theory are used to determine the spectral signature and energy contributions of each mode. South of 17°S, the first two extended theory modes explain up to 60% more of the variance in the observed power spectral energy than their classical linear theory counterparts. We find that Rossby wave modes 2–3 contribute to the total Rossby wave energy in the SLA data. The second mode contributes significantly over most of the basin. The third mode is also evident in some localized regions of the South Pacific but may be ignored at the large scale. Examination of a selection of case study sites suggests that bathymetric effects may dominate at longer wavelengths or permit higher order mode solutions, but mean flow tends to be the more influential factor in the extended theory. We discuss the regional variations in frequency and wave number characteristics of the extended theory modes across the South Pacific basin.
Extended theoryClassical linear theorySouth Pacific OceanRossby wavesBaroclinic modesFourier transform
1616-7341
173-187
Maharaj, Angela M.
df0ede4b-a456-4c67-b33c-b358fe88f637
Cipollini, Paolo
276e356a-f29e-4192-98b3-9340b491dab8
Holbrook, Neil J.
0ce6b2f1-dbef-45e6-a9cb-6c2334888476
Killworth, Peter D.
cdb4e8d3-c5eb-48b8-860a-0b16473b5d44
Blundell, Jeffrey R.
88114f32-6b76-46b2-b2d8-d6ef64a82b0d
Maharaj, Angela M.
df0ede4b-a456-4c67-b33c-b358fe88f637
Cipollini, Paolo
276e356a-f29e-4192-98b3-9340b491dab8
Holbrook, Neil J.
0ce6b2f1-dbef-45e6-a9cb-6c2334888476
Killworth, Peter D.
cdb4e8d3-c5eb-48b8-860a-0b16473b5d44
Blundell, Jeffrey R.
88114f32-6b76-46b2-b2d8-d6ef64a82b0d

Maharaj, Angela M., Cipollini, Paolo, Holbrook, Neil J., Killworth, Peter D. and Blundell, Jeffrey R. (2007) An evaluation of the classical and extended Rossby wave theories in explaining spectral estimates of the first few baroclinic modes in the South Pacific Ocean. Ocean Dynamics, 57 (3), 173-187. (doi:10.1007/s10236-006-0099-5).

Record type: Article

Abstract

Previous literature has suggested that multiple peaks in sea level anomalies (SLA) detected by two-dimensional Fourier Transform (2D-FT) analysis are spectral components of multiple propagating signals, which may correspond to different baroclinic Rossby wave modes. We test this hypothesis in the South Pacific Ocean by applying a 2D-FT analysis to the long Rossby wave signal determined from filtered TOPEX/Poseidon and European Remote Sensing-1/2 satellite altimeter derived SLA. The first four baroclinic mode dispersion curves for the classical linear wave theory and the Killworth and Blundell extended theory are used to determine the spectral signature and energy contributions of each mode. South of 17°S, the first two extended theory modes explain up to 60% more of the variance in the observed power spectral energy than their classical linear theory counterparts. We find that Rossby wave modes 2–3 contribute to the total Rossby wave energy in the SLA data. The second mode contributes significantly over most of the basin. The third mode is also evident in some localized regions of the South Pacific but may be ignored at the large scale. Examination of a selection of case study sites suggests that bathymetric effects may dominate at longer wavelengths or permit higher order mode solutions, but mean flow tends to be the more influential factor in the extended theory. We discuss the regional variations in frequency and wave number characteristics of the extended theory modes across the South Pacific basin.

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More information

Published date: 2007
Keywords: Extended theoryClassical linear theorySouth Pacific OceanRossby wavesBaroclinic modesFourier transform
Organisations: Marine Physics and Ocean Climate

Identifiers

Local EPrints ID: 347513
URI: http://eprints.soton.ac.uk/id/eprint/347513
ISSN: 1616-7341
PURE UUID: 0469643c-952d-4f9f-ae29-cbfaafab3ce1

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Date deposited: 22 Jan 2013 16:58
Last modified: 14 Mar 2024 12:48

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Contributors

Author: Angela M. Maharaj
Author: Paolo Cipollini
Author: Neil J. Holbrook
Author: Peter D. Killworth

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