Abstract
It was shown in a recent study [11] that taking into account the rotation of the Earth’s atmosphere leads to the appearance of a new region of evanescent waves with a continuous frequency spectrum on the diagnostic diagram of acoustic-gravity waves. The region is located below the lower limit of gravity waves, which is equal to \(2\Omega \) for all wavelengths, where \(\Omega \) is the angular frequency of the atmospheric rotation. This result was obtained for high-latitude regions of the atmosphere in which one can be limited to considering only the vertical component of the Earth’s rotation frequency. This paper shows that taking into account both components of the vector \(\vec {\Omega }\) of the atmospheric rotation frequency \(\vec {\Omega }\)—horizontal, \(\Omega \cos \varphi ,\) where \(\varphi \) is the local latitude, and vertical, \(\Omega \sin \varphi \)—the dominant role in the acoustic-gravity wave propagation is played by the vertical component. It is shown that the horizontal component leads to a negligible modification of the boundaries of the regions of acoustic and gravity waves on the diagnostic diagram. It is also shown that the vertical component of the frequency affects most strongly the lower limit of gravity waves, which depends on the latitude of the observation site for all wavelengths and is equal to 2\(\Omega \sin \varphi \).
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REFERENCES
O. Agapitov and O. K. Cheremnykh, “Natural oscillations of the Earth magnetosphere associated with solar wind sudden impulses,” Ukr. J. Phys. 53, 508–512 (2008).
M. J. Alexander and L. Pfister, “Gravity wave momentum flux in the stratosphere over convection,” Geophys. Res. Lett. 22, 2029–2032 (1995).
G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge Univ. Press, Cambridge, 2000).
T. Beer, Atmospheric Waves (Wiley, New York, 1974).
A. V. Bespalova, A. K. Fedorenko, O. K. Cheremnykh, and I. T. Zhuk, “Satellite observations of wave disturbances caused by moving solar terminator,” J. Atmos. Sol.-Terr. Phys. 140, 79–85 (2016). https://doi.org/10.1016/j.jastp.2016.02.012
P. A. Bespalov, V. G. Misonova, and O. N. Savina, “Magnetospheric VLF response to the atmospheric infrasonic waves,” Adv. Space Res. 31, 1235–1240 (2003).
L. M. Brekhovskikh and V. V. Goncharov, Introduction to the Mechanics of Continuous Media (Nauka, Moscow, 1982) [in Russian].
O. K. Cheremnykh and V. V. Danilova, “Transverse small-scale MHD perturbations in space plasma with magnetic surfaces,” Kinematics Phys. Celestial Bodies 27, 98–108 (2011).
O. K. Cheremnykh, A. K. Fedorenko, E. I. Kryuchkov, and Y. A. Selivanov, “Evanescent acoustic-gravity modes in the isothermal atmosphere: Systematization and applications to the Earth and solar atmospheres,” Ann. Geophys. 37, 401–415 (2019).
O. K. Cheremnykh, A. K. Fedorenko, Y. A. Selivanov, and S. O. Cheremnykh, “Continuous spectrum of evanescent acoustic-gravity waves in an isothermal atmosphere,” Mon. Not. R. Astron. Soc. 503, 5545–5553 (2021). https://doi.org/10.1093/mnras/stab845
O. Cheremnykh, T. Kaladze, Yu. A. Selivanov, and S. Cheremnykh, “Evanescent acoustic-gravity waves in a rotating stratified atmosphere,” Adv. Space Res. 69, 1272–1280 (2022).
O. K. Cheremnykh, Kryuchkov EI, Fedorenko AK, and S. O. Cheremnykh, “Two-frequency propagation mode of acoustic–gravity waves in the Earth’s atmosphere,” Kinematics Phys. Celestial Bodies 36, 64–78 (2020).
O. K. Cheremnykh and A. S. Parnowski, “Influence of ionospheric conductivity on the ballooning modes in the inner magnetosphere of the Earth,” Adv. Space Res. 37, 599–603 (2006).
C. Chiuderi and C. Giovanardi, “Wave propagation in a non-isothermal atmosphere and the solar five-minute oscillations,” Sol. Phys. 64, 27–42 (1979).
A. Ebel, “Contributions of gravity waves to the momentum, heat and turbulent energy budget of the upper mesosphere and lower thermosphere,” J. Atmos. Sol.-Terr. Phys. 46, 727–737 (1984).
A. K. Fedorenko, A. V. Bespalova, O. K. Cheremnykh, and E. I. Kryuchkov, “A dominant acoustic-gravity mode in the polar thermosphere,” Ann. Geophys. 33, 101–108 (2015). https://doi.org/10.5194/angeo-33-101-2015
A. K. Fedorenko, E. I. Kryuchkov, O. K. Cheremnykh, Yu. O. Klymenko, and Yu. M. Yampolski, “Peculiarities of acoustic-gravity waves in inhomogeneous flows of the polar thermosphere,” J. Atmos. Sol.-Terr. Phys. 178, 17–23 (2018).
S. H. Francis, “Global propagation of atmospheric gravity waves: A review,” J. Atmos. Terr. Phys. 37, 1011–1054 (1975).
E. E. Gossard and W. H. Hooke, Waves in the Atmosphere: Atmospheric Infrasound and Gravity Waves, Their Generation and Propagation (Elsevier, Amsterdam, 1975).
C. O. Hines, “Internal gravity waves at ionospheric heights,” Can. J. Phys. 38, 1441–1481 (1960).
W. H. Hooke, “Ionospheric irregularities produced by internal atmospheric gravity waves,” J. Atmos. Sol.-Terr. Phys. 30, 795–823 (1968).
K. M. Huang, S. D. Zhang, F. Yi, C. M. Huang, Q. Gan, Y. Gong, and Y. H. Zhang, “Nonlinear interaction of gravity waves in a nonisothermal and dissipative atmosphere,” Ann. Geophys. 32, 263–275 (2014).
W. L. Jones, “Non-divergent oscillations in the solar atmosphere,” Sol. Phys. 7, 204–209 (1969).
T. D. Kaladze, O. A. Pokhotelov, H. A. Shan, M. I. Shan, and L. Stenflo, “Acoustic-gravity waves in the Earth ionosphere,” J. Atmos. Sol.-Terr. Phys. 70, 1607–1616 (2008).
W. Kertz, “Atmosphärische Gezeiten,” in Encyclopedia of Physics (Springer-Verlag, Berlin, 1957), Vol. 48, pp. 928–981.
E. I. Kryuchkov, O. K. Cheremnykh, and A. K. Fedorenko, “Properties of acoustic-gravity waves in the Earth’s polar thermosphere,” Kinematics Phys. Celestial Bodies 33, 122–129 (2017).
Y. P. Ladikov-Roev, O. K. Cheremnykh, A. K. Fedorenko, and V. E. Nabivach, “Acoustic-gravity waves in whirling polar thermosphere,” J. Autom. Inf. Sci. 47 (9), 10–22 (2015).
H. Lamb, “On atmospheric oscillations,” Proc. R. Soc. London, Ser. A 84, 551–572 (1911). https://doi.org/10.1098/rspa.1911.0008
H. Lamb, Hydrodynamics (Dover, New York, 1932).
P. S. Landa, Nonlinear Oscillations and Waves in Dynamical Systems (Nauka, Moscow, 1977; Kluwer, Dordrecht, 1996).
O. Y. Lavrova and K. D. Sabinin, “Manifestations of inertial oscillations in satellite images of the sea surface,” Sovrem. Probl. Distantsionnogo Zondirovaniya Zemli Kosmosa 13 (4), 60–73 (2016).
M. S. Longuet-Higgins, “Planetary waves on a rotating sphere. 1,” Proc. R. Soc., Ser. A. 279, 446–473 (1964);
M. S. Longuet-Higgins, “Planetary waves on a rotating sphere. 2,” Proc. R. Soc., Ser. A. 284, 40–68 (1965).
D. F. Martyn, “Cellular atmospheric waves in the ionosphere and troposphere,” Proc. R. Soc. London, Ser. A 201, 216 (1950).
J. C. McWilliams, Fundamentals of Geophysical Fluid Dynamics (Cambridge Univ. Press, Cambridge, 2011).
N. S. Petrukhin, E. N. Pelinovsky, and T. G. Talipova, “Nonreflected vertical propagation of acoustic waves in a strongly inhomogeneous atmosphere,” Izv., Atmos. Ocean. Phys. 48, 169–173 (2012).
O. A. Pokhotelov, T. D. Kaladze, P. K. Shukla, and L. Stenflo, “Three-dimensional solitary vortex structures in the upper atmosphere,” Phys. Scr. 64, 245–252 (2001).
Yu. G. Rapoport, O. K. Cheremnykh, Yu. A. Selivanov, A. K. Fedorenko, V. M. Ivchenko, V. V. Grimalsky, and E. N. Tkachenko, “Modeling AGW and PEWM in inhomogenous atmosphere and ionosphere,” in Proc. 14th Int. Conf. on Mathematical Methods in Electromagnetic Theory (MMET), Kharkiv, Ukraine, Aug. 28–30, 2012 (IEEE, Piscataway, N.J., 2012), 577–580. https://doi.org/10.1109/MMET.2012.6331225
C.-G. Rossby, “Relation between variations in the intensity of the zonal circulation of the atmosphere and displacement of the semi-permanents centers of action,” J. Marine Res. 2, 38–55 (1939).
C.-G. Rossby, “Planetary flow patterns in the atmosphere,” Q. J. R. Meteorol. Soc. 66, 68–87 (1940).
A. Roy, S. Roy, and A. P. Misra, “Dynamical properties of acoustic-gravity waves in the atmosphere,” J. Atmos. Sol.-Terr. Phys. 186, 78–81 (2019).
D. B. Simkhada, J. B. Snively, M. J. Tayler, and S. J. Franke, “Analysis and modeling of ducted and avanescent gravity waves observed in the Havaiian airglow,” Ann. Geophys. 27, 3213–3224 (2009).
V. M. Somsikov, Solar Terminator and Atmospheric Dynamics (Nauka, Alma-Ata, 1983) [in Russian].
L. Stenflo and P. K. Shukla, “Nonlinear acoustic gravity wave,” J. Plasma Phys. 75, 841–847 (2009). https://doi.org/10.1017/S0022377809007892
B. R. Sutherland, Internal Gravity Waves (Cambridge Univ. Press, Cambridge, 2015).
I. Tolstoy, “The theory of waves in stratified fluids including the effect of gravity and rotation,” Rev. Mod. Phys. 35, 207–230 (1963).
I. Tolstoy, “Long-period gravity waves in the atmosphere,” J. Geophys. Res. 72, 4605–4610 (1967).
I. Tolstoy, Wave Propagation (McGraw-Hill, New York, 1973).
S. L. Vadas and D. C. Fritts, “Termosphere responses to gravity waves: Influences of incrising viscosity and thermal diffusivity,” J. Geophys. Res.: Atmos. 110, D15103 (2005). https://doi.org/10.1029/2004JD005574
R. L. Waltercheid and J. H. Hecht, “A reexamination of evanescent acoustic-gravity waves: Special properties and aeronomical significance,” J. Geophys. Res.: Atmos. 108, 4340 (2003). https://doi.org/10.1029/2002JD002421
K. C. Yeh and C. H. Lin, “Acoustic-gravity waves in the upper atmosphere,” Rev. Geophys. Space Phys. 12, 193–216 (1974).
Y.-L. Lin, Mesoscale Dynamics (Cambridge Univ. Press, New York, 2007).
S. D. Zhang and F. Yi, “numerical study of propagation characteristics of gravity wave packets propagating in a dissipative atmosphere,” J. Geophys. Res.: Atmos. 107, 4222 (2002).
Funding
The study was funded by the National Research Foundation of Ukraine, project no. 2020.02/0015 “Theoretical and Experimental Studies of Global Disturbances of Natural and Manmade Origin in the Earth–Atmosphere–Ionosphere System” and the Scientific Program of the National Antarctic Center of the Ministry of Education and Science of Ukraine as well as with the partial support of the Targeted Comprehensive Program of the National Academy of Sciences of Ukraine for Scientific Space Research in 2018–2022. Also authors would like to thank the Volkswagen Foundation (“VWStiftung”) for partial support (grant 97 742).
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Translated by M. Chubarova
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Cheremnykh, O.K., Cheremnykh, S.O. & Vlasov, D.I. The Influence of the Earth’s Atmosphere Rotation on the Spectrum of Acoustic-Gravity Waves. Kinemat. Phys. Celest. Bodies 38, 121–131 (2022). https://doi.org/10.3103/S0884591322030023
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DOI: https://doi.org/10.3103/S0884591322030023