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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References
Birol F, Morrow R (2001) Source of the baroclinic waves in the southeast Indian Ocean. J Geophys Res 106:9145–9160
Bowen MM, Sutton PJH, Roemmich D (2006) Wind-driven and steric fluctuations of sea surface height in the southwest Pacific. Geophys Res Lett L14617 DOI 10.1029/2006GL026160
Brigham EO (1988) The fast Fourier transform and its applications. Prentice Hall, New Jersey, p 448
Challenor PG, Cipollini P, Cromwell D (2001) Use of the 3D radon transform to examine the properties of oceanic Rossby waves. J Atmos Ocean Technol 18:1558–1566
Chelton DB, Schlax MG (1996) Global observations of oceanic Rossby waves. Science 272:234–238
Chelton DB, Schlax MG (2003) The accuracies of smoothed sea surface height fields constructed from tandem satellite altimeter datasets. J Atmos Ocean Technol 20:1276–1302
Chelton DB, de Szoeke RA, Schlax MG, El Naggar K, Siwertz N (1998) Geographical variability of the first baroclinic Rossby radius of deformation. J Phys Oceanogr 28(3):433–460
Cipollini P, Cromwell D, Jones MS, Quartly GD, Challenor PG (1997) Concurrent altimeter and infrared observations of Rossby wave propagation near 34°N in the Northeast Atlantic. Geophys Res Lett 24:885–892
Cipollini P, Cromwell D, Challenor PG, Raffaglio S (2001) Rossby waves detected in global ocean colour data. Geophys Res Lett 28(2):323–326
Cipollini P, Quartly GD, Challenor PG, Cromwell D, Robinson IS (2006) Manual of remote sensing, vol. 6: Remote sensing of marine environment, chapter remote sensing of extra-equatorial planetary waves, American society for photogrammetry and remote sensing, ISBN:1-57083-080-0, pp 61–84
Dewar WK, Morris MY (2000) On the propagation of baroclinic waves in the general circulation. J Phys Oceanogr 30:2637–2649
Fu LL (2004) Latitudinal and frequency characteristics of the westward propagation of large-scale ocean variability. J Phys Oceanogr 34:1907–1921
Fu LL, Chelton DB (2001) Satellite altimetry and earth sciences, chapter: large scale ocean circulation, Academic, pp 133–169
Gill AE (1982) Atmosphere-ocean dynamics. Academic, New York, p 662
Hill KL, Robinson IS, Cipollini P (2000) Propagation characteristics of extratropical planetary waves observed in the ATSR global sea surface temperature record. J Geophys Res 105:21927–21945
Holbrook NJ, Bindoff NL (1999) Seasonal temperature variability in the upper southwest Pacific Ocean. J Phys Oceanogr 29:366–381
Hughes CW (2002) Zonal jets in and near the Coral Sea, seen by satellite altimetry. Geophys Res Lett 29:1330. DOI 10.1029/2001GL014006
Killworth PD, Blundell JR (1999) The effect of bottom topography on the speed of long extratropical planetary waves. J Phys Oceanogr 29:2689–2710
Killworth PD, Blundell JR (2003a) Long extra-tropical planetary wave propagation in the presence of slowly varying mean flow and bottom topography. I: the local problem. J Phys Oceanogr 33:784–801
Killworth PD, Blundell JR (2003b) Long extra-tropical planetary wave propagation in the presence of slowly varying mean flow and bottom topography. II: ray propagation and comparison with observations. J Phys Oceanogr 33:802–821
Killworth PD, Blundell JR (2004) The dispersion relation for planetary waves in the presence of mean flow and topography. Part I: analytical theory and one-dimensional examples. J Phys Oceanogr 34:2692–2711
Killworth PD, Blundell JR (2005) The dispersion relation for planetary waves in the presence of mean flow and topography. Part II: two-dimensional examples and global results. J Phys Oceanogr 35:2110–2133
Killworth PD, Blundell JR, Chelton DB, de Szoeke RA (1997) The speed of observed and theoretical long extra-tropical planetary waves. J Phys Oceanogr 27:1946–1966
Le Traon PY, Morrow R (2001) Satellite altimetry and earth sciences, chap. Ocean currents and eddies. Academic, New York, pp 171–215
Le Traon PY, Ogor F (1998) ERS-1/2 orbit improvement using TOPEX/POSEIDON: the 2 cm challenge. J Geophys Res 103:8045–8057
Le Traon PY, Nadal F, Ducet N (1998) An improved mapping method of multi-satellite altimeter data. J Atmos Ocean Technol 25:522–534
LeBlond PH, Mysak LA (1978) Waves in the ocean. Elsevier, Amsterdam, The Netherlands, p 602
Maharaj AM, Cipollini P, Holbrook NJ (2005) Observed variability of the South Pacific westward sea level anomaly signal in the presence of bottom topography. Geophys Res Lett 32(4):L04611. DOI 10.1029/2004GL020966
Moore MI, Wilkin JL (1998) Variability in the south pacific deep western boundary current from current meter observations and a high resolution global model. J Geophys Res 103:5439–5457
Perkins ML, Holbrook NJ (2001) Can Pacific Ocean thermocline depth anomalies be simulated by a simple linear vorticity model? J Phys Oceanogr 31:1786–1806
Polito PS, Cornillon P (1997) Long baroclinic Rossby waves detected by TOPEX/POSEIDON. J Geophys Res 102:3215–3236
Polito PS, Liu TW (2003) Global characterization of Rossby waves at several spectral bands. J Geophys Res 108(C1):3018. DOI 10.1029/2000JC000607
Reid JL (1986) On the total geostrophic circulation of the South Pacific Ocean: flow patterns, tracers and transports. Prog Oceanogr 16:1–61
Smith WHF, Sandwell DT (1997) Global sea floor topography from satellite altimetry and ship depth soundings. Science 277(26):1956–1962
Subrahmanyam B, Robinson IS, Blundell JR, Challenor PG (2001) Rossby waves in the Indian ocean from TOPEX/POSEIDON altimeter and model simulations. Int J Remote Sens 22(1):141–167
Uz BM, Yoder JA, Oschyny V (2001) Pumping of nutrients to ocean surface waters by the action of propagating planetary waves. Nature 409:597–600
Wagner CA, Tai CK, Kuhn JM (1994) Improved M2 ocean tide from TOPEX/POSEIDON and GEOSAT altimetry. J Geophys Res 99:24853–24866
Wang LP, Koblinksy CJ, Howden S (2001) Annual Rossby waves in the southern Indian Ocean: why does it “appear” to break down in the middle ocean? J Phys Oceanogr 31:54–74
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Maharaj, A.M., Cipollini, P., Holbrook, N.J. et al. 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, 173–187 (2007). https://doi.org/10.1007/s10236-006-0099-5
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DOI: https://doi.org/10.1007/s10236-006-0099-5