The Doppler spread theory and parameterization revisited

Hines, C. O.

doi:10.1016/j.jastp.2004.02.005

Cited by 4 publications

(3 citation statements)

References 13 publications

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“…Discussion of this result, and of its implications, is to be found in a companion paper (Hines, 2004). Section 7 expands upon our conclusions in the more general context of spectral-tail theories.…”

Section: Introductionmentioning

confidence: 61%

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Modeling of gravity-wave tail spectra in the middle atmosphere via numerical and Doppler-spread methods

Hines

Childress

Kinney

et al. 2004

Journal of Atmospheric and Solar-Terrestrial Physics

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Section: Introductionmentioning

confidence: 61%

“…A more thorough discussion of the DST and of its ospring DSP, as viewed in the light of these results and their foundations, is given in a companion paper (Hines, 2004), together with a possible upgrading of the DSP.…”

Section: Comparison With Dstmentioning

confidence: 99%

Modeling of gravity-wave tail spectra in the middle atmosphere via numerical and Doppler-spread methods

Hines

Childress

Kinney

et al. 2004

Journal of Atmospheric and Solar-Terrestrial Physics

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“…Unfortunately Selvam and Fadnavis [1998] completely ignored the work of their colleagues at the other frequency end of the “universal spectrum” of atmospheric fluctuations. Extensive research work has been performed to explain the shape of the atmospheric fluctuation spectrum at high frequencies by nonlinear interaction of gravity waves, linear saturation theory, and Doppler spreading [ Hines , 2004; Smith et al , 1987; Weinstock , 1982; Weinstock et al , 2007]. How are these theories related to fractal geometry and which approach is most powerful for a detailed description of atmospheric fluctuations?…”

Section: Introductionmentioning

confidence: 99%

Bispectral analysis of the long‐term recording of surface pressure at Jakarta

Hocke

Kämpfer

2008

J. Geophys. Res.

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[1] The long-term series of surface pressure at Jakarta (6 S, 107 E) from 1842 to 2000 are analyzed for nonlinear three-wave interaction. In the tropics, the variations of surface pressure are mainly caused by variations of the water vapor pressure. Jakarta is located in the strongest zone of water vapor convection of the Earth, and the pressure variations at Jakarta essentially influence or drive the circulation of the Earth's atmosphere. The bispectrum evaluates the phase relationships and the magnitudes of oscillation triads having the frequencies f 1 , f 2 , and f 3 = f 1 + f 2 . Analysis of the bispectrum from intraseasonal to decadal timescales quantifies the degree of nonlinearity in the troposphere and reveals the dominant oscillation triads. The bispectrum also informs about the energy and impulse transfer from low to high frequencies and vice versa. We find following main results for the Jakarta series: (1) a strong annual oscillation and strong harmonics up to the fourth order and higher, (2) strong interactions between the annual oscillation (AO) and the biennial oscillation (BO) and several components of the quasi-biennial oscillation (QBO with periods at 2.79, 2.39, 1.72, 1.56-year), (3) mixing processes between the annual harmonics and the interannual and decadal oscillations (10 to 40-year) are obvious in the bispectrum, FFT-spectrum, and in the temporal evolution of the amplitudes (derived from the bandpass-filtered time series), and (4) a close relationship is found between the amplitudes of the semi-annual oscillation and the quasi 4-year oscillation (nonlinear interaction 2 cycles/a + 0.25 cycles/a = 2.25 cycles/a). The bispectral analysis of the Jakarta series gives us a detailed insight into the self-organization of the atmospheric oscillations by nonlinear three-wave interaction and permits the development of a strategy for improved detection, modeling, and forecasting of atmospheric variability.Citation: Hocke, K., and N. Kämpfer (2008), Bispectral analysis of the long-term recording of surface pressure at Jakarta,

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Testing Lagrangian Theories of Internal Wave Spectra. Part II: Varying the Number of Waves

Klaassen

2009

Journal of the Atmospheric Sciences

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It has been proposed by Allen and Joseph, Hines, and Chunchuzov that the kinematic advection produced by superpositions of sinusoidal Lagrangian gravity waves confined to lower vertical wavenumbers m provides an explanation for the quasi-universal m 23 Eulerian spectral tails commonly found at higher m in the oceans and the atmosphere. In support of these theories, Hines has proposed a prototype wave spectrum claimed to meet criteria for Lagrangian linearity and the production of m 23 Eulerian spectra. Although the shape of the Lagrangian spectrum is claimed not to play a major role in this process, Hines has argued that moderately large numbers of waves are required to ensure quasilinear behavior in the Lagrangian frame. The present results demonstrate that, for amplitudes consistent with measurements of saturated waves in the middle atmosphere and for wavenumbers consistent with Hines' prototype, adiabatic excesses do not diminish with increasing numbers of waves; in contrast, consistency with adiabatic constraints is only achieved in the limit of a single wave, for which the advective nonlinearity u Á = vanishes. Moreover, fields with strong singularities yield Eulerian tail slopes as large as 21.6, whereas those with lesser violations of adiabatic constraints yield Eulerian spectral tail slopes that are much steeper (more strongly negative) than 23. The implications for theories based on superpositions of Lagrangian sinusoidal waves, for the Hines quasilinear criteria, and for the Hines Doppler-spread theory and parameterization are addressed. The results are also relevant for experimentalists interested in spectral analysis of internal wave fields.

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The Doppler spread theory and parameterization revisited

Cited by 4 publications

References 13 publications

Modeling of gravity-wave tail spectra in the middle atmosphere via numerical and Doppler-spread methods

Modeling of gravity-wave tail spectra in the middle atmosphere via numerical and Doppler-spread methods

Bispectral analysis of the long‐term recording of surface pressure at Jakarta

Testing Lagrangian Theories of Internal Wave Spectra. Part II: Varying the Number of Waves

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