Skip to main content
SpringerLink
Log in

Projection Operators for Identification of Rossby and Poincaré Planetary Waves in the Atmosphere

  • CHEMICAL PHYSICS OF ATMOSPHERIC PHENOMENA
  • Published:
Russian Journal of Physical Chemistry B Aims and scope Submit manuscript

Abstract

This article discusses the possibilities of using the method of projection operators to analyze the results of observations of atmospheric parameters in order to isolate the contributions of planetary Rossby and Poincaré waves. In the upper atmosphere, planetary-scale wave disturbances are recorded during periods of geomagnetic disturbances and powerful dynamic processes in the lower atmosphere, such as hurricanes, meteorological storms, and sudden stratospheric warming. The method of projection operators expands the possibilities of analyzing such disturbances of the atmospheric parameters, making it possible to determine the amplitude characteristics of planetary waves, as well as their spatial and time scales. This paper presents a procedure for the derivation of finite-difference projection operators, which can be applied to the analysis of the time series of observations performed by individual stations. The results of the test studies of projection operators with an estimate of the accuracy of determining the characteristics of the Rossby and Poincaré waves are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.

Similar content being viewed by others

REFERENCES

  1. D. Altadill and E. M. Apostolov, J. Geophys. Res. 108 (A11), 1403 (2003).

    Article  Google Scholar 

  2. D. Pancheva, E. Apostolov, J. Laštovička, and J. Boška, J. Atmos. Terr. Phys. 51, 381 (1989).

    Article  Google Scholar 

  3. J. Laštovička, P. Križan, and D. Novotná, Stud. Geophys. Geod. 47, 161 (2003).

    Article  Google Scholar 

  4. J. Laštovička, P. Križan, P. Sauli, and D. Novotná, Ann. Geophys. 21, 1543 (2003).

    Article  Google Scholar 

  5. H. Rishbeth and M. Mendillo, J. Atmos. Sol.-Terr. Phys. 63, 1661 (2001).

    Article  Google Scholar 

  6. S. B. Leble, Nonlinear Waves in Waveguides (with Stratification) (Leningr. Gos. Univ., Leningrad, 1988; Springer, Berlin, 1991).

  7. S. Leble, Nonlinear Waves in Waveguides (with Stratification) (Springer, Berlin, 1991).

    Book  Google Scholar 

  8. S. Leble and A. Perelomova, Dynamical Projectors Method in Hydro- and Electrodynamics (Taylor and Francis, London, 2018).

    Google Scholar 

  9. S. B. Leble, S. D. Vereshchagin, and I. S. Vereshchagina, Russ. J. Phys. Chem. B 12, 554 (2018).

    Article  CAS  Google Scholar 

  10. S. Leble and S. Vereshchagin, Pure Appl. Geophys. 175, 3023 (2018).

    Article  Google Scholar 

  11. S. B. Leble, S. D. Vereshchagin, and I. S. Vereshchagina, Russ. J. Phys. Chem. B 14, 371 (2020).

    Article  CAS  Google Scholar 

  12. J. Pedlosky, Geophysical Fluid Dynamics (Springer, New York, 1987).

    Book  Google Scholar 

  13. P. A. Vasil’ev, F. S. Bessarab, I. V. Karpov, V. V. Klimenko, M. V. Klimenko, T. V. Sukhodolov, and E. V. Rozanov, Bull. Russ. Acad. Sci.: Phys. 55, 178 (2019).

    Google Scholar 

  14. I. V. Karpov, F. S. Bessarab, O. P. Borchevkina, K. A. Artemenko, and A. I. Klopova, Geomagn. Aeron. 58, 509 (2018).

    Article  Google Scholar 

  15. I. V. Karpov, F. S. Bessarab, Yu. N. Korenkov, V. V. Klimenko, and M. V. Klimenko, Russ. J. Phys. Chem. B 10, 117 (2016).

    Article  CAS  Google Scholar 

Download references

Funding

This study was supported by the Russian Foundation for Basic Research, project no. 18-05-00184.

Author information

Authors and Affiliations

  1. Immanuel Kant Baltic Federal University, Kaliningrad, Russia

    A. I. Klopova, S. B. Leble & I. V. Karpov

  2. Pushkov Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation, Kaliningrad Branch, Russian Academy of Sciences, Kaliningrad, Russia

    I. V. Karpov

Authors
  1. A. I. Klopova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. B. Leble
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. I. V. Karpov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. V. Karpov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Klopova, A.I., Leble, S.B. & Karpov, I.V. Projection Operators for Identification of Rossby and Poincaré Planetary Waves in the Atmosphere. Russ. J. Phys. Chem. B 15, 572–576 (2021). https://doi.org/10.1134/S1990793121030064

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1990793121030064

Keywords:

Search

Navigation