Non-linear resonant wave–wave interaction (triad): Case studies based on rocket data and first application to satellite data

Wüst, Sabine; Bittner, Michael

doi:10.1016/j.jastp.2005.11.011

Cited by 34 publications

(39 citation statements)

References 57 publications

(61 reference statements)

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“…In signal processing, the down conversion of high‐frequency electromagnetic waves to low frequency waves is common praxis. Oscillation or wave triads of atmospheric parameters are often observed, and the mechanism of up‐ and down‐conversion of wave frequencies can also be called nonlinear three‐wave interaction or nonlinear wave‐wave interaction [ Wüst and Bittner , 2006; Efimov and Shokurov , 2001].…”

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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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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“…It is well-known that the interactions among global-scale tidal and planetary waves were extensively reported based on experimental observations. However, although several resonant gravity wave triads were presented based on radar, rocket, and satellite measurements (Klostermeyer, 1984(Klostermeyer, , 1990Rüster, 1997;Wüst and Bittner, 2006), observational study of the interaction events of gravity waves is much less. There are two possible reasons.…”

Section: Discussionmentioning

confidence: 99%

“…Satellite (Preusse et al, 2009;Alexander and Teitelbaum, 2011) and ground-based observations (Tsuda et al, 1990;Hickey et al, 1998;Vincent and Alexander, 2000;Dou et al, 2010;Yue et al, 2013;Zhang et al, 2013) show that small scale gravity waves have also broad temporal and spatial scales. When these gravity waves with different scales interact with each other, a sum or difference new wave is usually excited (Klostermeyer, 1984(Klostermeyer, , 1990Widdel et al, 1994;Rüster, 1997;Wüst and Bittner, 2006;Huang et al, 2009Huang et al, , 2012, while numerical experiments with GCM presented by Chang et al (2011) demonstrate that in interactions among large scale planetary waves and tides, both sum and difference new waves are generated, and evidence of sum and difference secondary waves is also observed in radar measurements Beard et al, 1997Beard et al, , 1999Pancheva, 2006;Huang et al, 2013b), moreover, tidal modulation due to the beat is generally clear (Teitelbaum and Vial, 1991;Beard et al, 1997Beard et al, , 1999Huang et al, 2013b). Hence, relative to interactions among planetary waves and tides, nonlinear interaction of gravity waves shows some special characteristics.…”

Section: K M Huang Et Al : Nonlinear Interaction Of Gravity Wavesmentioning

confidence: 99%

Nonlinear interaction of gravity waves in a nonisothermal and dissipative atmosphere

Huang

Zhang

et al. 2014

Ann. Geophys.

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Abstract.Starting from a set of fully nonlinear equations, this paper studies that two initial gravity wave packets interact to produce a third substantial packet in a nonisothermal and dissipative atmosphere. The effects of the inhomogeneous temperature and dissipation on interaction are revealed. Numerical experiments indicate that significant energy exchange occurs through the nonlinear interaction in a nonisothermal and dissipative atmosphere. Because of the variability of wavelengths and frequencies of interacting waves, the interaction in an inhomogeneous temperature field is characterised by the nonresonance. The nonresonant three waves mismatch mainly in the vertical wavelengths, but match in the horizontal wavelengths, and their frequencies also tend to match throughout the interaction. Below 80 km, the influence of atmospheric dissipation on the interaction is rather weak due to small diffusivities. With the further propagation of wave above 80 km, the exponentially increasing atmospheric dissipation leads to the remarkable decay and slowly upward propagation of wave energy. Even so, the dissipation below 110 km is not enough to decrease the vertical wavelength of wave. The dissipation seems neither to prevent the interaction occurrence nor to prolong the period of wave energy exchange, which is different from the theoretical prediction based on the linearised equations. The match relationship and wave energy evolution in numerical experiments are helpful in further investigating interaction of gravity waves in the middle atmosphere based on experimental observations.

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“…We apply the harmonic analysis (all-step mode, see for example Bittner et al (1994) or Wüst and Bittner (2006)) to the four nightly time series and search for four identical periods. Further analysis steps are restricted to results which are 10 characterized by a period longer (shorter) than 60 min (the measurement time) and an amplitude larger than or equal to 1 K. This is in accordance with the approach and the results of Wachter et al (2015) (see their section 2.2).…”

Section: Derivation Of 3d Wave Vectormentioning

confidence: 99%

Derivation of horizontal and vertical wavelengths using a scanning OH(3-1) airglow spectrometer

Wüst

Offenwanger

Schmidt

et al. 2017

Preprint

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For the first time, we present an approach to derive zonal, meridional and vertical wavelengths as well as periods of gravity waves based on only one OH* spectrometer addressing one vibrational-rotational transition. Knowledge of these parameters 15 is a precondition for the calculation of further information such as the wave group velocity vector.OH(3-1) spectrometer measurements allow the analysis of gravity wave periods, but spatial information cannot necessarily be deduced. We use a scanning spectrometer and the harmonic analysis to derive horizontal wavelengths at the mesopause above Oberpfaffenhofen (48.09°N, 11.28°E), Germany for 22 nights in 2015. Based on the approximation of the dispersion relation for gravity waves of low and medium frequency and additional horizontal wind information, we calculate vertical 20 wavelengths afterwards. The mesopause wind measurements nearest to Oberpfaffenhofen are conducted at Collm (51.30°N, 13.02°E), Germany, ca. 380 km northeast of Oberfpaffenhofen by a meteor radar.In order to check our results, vertical temperature profiles of TIMED-SABER (Thermosphere Ionosphere Mesosphere Energetics Dynamics, Sounding of the Atmosphere using Broadband Emission Radiometry) overpasses are analysed with respect to the dominating vertical wavelength. 25Atmos. Meas. Tech. Discuss., https://doi

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Non-linear resonant wave–wave interaction (triad): Case studies based on rocket data and first application to satellite data

Cited by 34 publications

References 57 publications

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

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

Nonlinear interaction of gravity waves in a nonisothermal and dissipative atmosphere

Derivation of horizontal and vertical wavelengths using a scanning OH(3-1) airglow spectrometer

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