Skip to main content
SpringerLink
Log in

Algorithm for the Diagnostics of Waves and Entropy Mode in the Exponentially Stratified Atmosphere

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

Abstract—

The method of local diagnostics based on the three-mode problem in an exponentially stratified atmosphere is proposed. The Cauchy problem is reformulated as the cutoff mode propagation problem. Projection operators for all three modes are derived, including the entropy mode as a new element of the developed approach. The formula for calculating the mode energy for an arbitrary boundary condition in the frequency-domain representation is proposed. It is suggested to use this formula as a norm in the space of approximations of numerical calculations or geophysical observations.

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.
Fig. 3.
Fig. 4.

Similar content being viewed by others

REFERENCES

  1. S. B. Leble, Nonlinear Waves in Waveguides with Stratification (Springer, Berlin, 1991). www.springer.com/ cn/book/9783540521495.

    Book  Google Scholar 

  2. I. V. Karpov, S. P. Kshevetskii, O. P. Borchevkina, A. V. Radievskii, and A. I. Karpov, Russ. J. Phys. Chem. B 10, 127 (2016). https://doi.org/10.7868/S0207401X16010064

    Article  CAS  Google Scholar 

  3. T. A. Voronina and A. A. Romanenko, Pure Appl. Geophys. 173, 4089 (2016). https://doi.org/10.1007/s00024-016-1286-z

    Article  Google Scholar 

  4. V. G. Romanov and P. S. Moshkalev, Sib. Zh. Ind. Mat. 14 (3), 87 (2011). http://mi.mathnet.ru/siim686.

  5. S. B. Leble, S. D. Vereshchagin, and I. S. Vereshchagina, Russ. J. Phys. Chem. B 12, 554 (2018). https://doi.org/10.7868/S0207401X18050096

    Article  CAS  Google Scholar 

  6. S. Leble and A. Perelomova, Appl. Math. Model. 37, 629 (2013). https://doi.org/10.1016/i.apm.2012.02.037

    Article  Google Scholar 

  7. S. Leble and I. Vereshchagina, http://arxiv.org/abs/ l403.7751.

  8. S. Leble and S. Vereshchagin, Pure Appl. Geophys. 175, 3023 (2018). https://doi.org/10.1007/S00024-018-1808-y

    Article  Google Scholar 

  9. N. V. Bakhmet’eva, V. N. Bubukina, V. D. Vyakhirev, G. I. Grigor’ev, E. E. Kalinina, and A. V. Tolmacheva, Russ. J. Phys. Chem. B 11, 1017 (2017). https://doi.org/10.7868/S0207401X17120056

    Article  Google Scholar 

  10. N. V. Bakhmet’eva, G. I. Grigoriev, A. V. Tolmacheva, and E. E. Kalinina, Russ. J. Phys. Chem. B 12, 510 (2018). https://doi.org/10.7868/S0207401X18050023

    Article  Google Scholar 

  11. V. V. Belikovich, E. A. Benediktov, A. V. Tolmacheva, et al., The Study of the Ionosphere Using Artificial Periodic Inhomogeneities (IPF RAN, Nizh. Novgorod, 1999) [in Russian].

    Google Scholar 

  12. S. Leble, Task Quart. 20, 113 (2016). https://doi.org/10.17466/tq2016/20.2/a

    Article  Google Scholar 

Download references

Funding

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

Author information

Authors and Affiliations

  1. Immanuel Kant Baltic Federal University, 236041, Kalinigrad, Russia

    S. B. Leble, S. D. Vereshchagin & I. S. Vereshchagina

Authors
  1. S. B. Leble
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. D. Vereshchagin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. I. S. Vereshchagina
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. B. Leble.

Additional information

Translated by O. Pismenov

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Leble, S.B., Vereshchagin, S.D. & Vereshchagina, I.S. Algorithm for the Diagnostics of Waves and Entropy Mode in the Exponentially Stratified Atmosphere. Russ. J. Phys. Chem. B 14, 371–376 (2020). https://doi.org/10.1134/S199079312002027X

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S199079312002027X

Keywords:

Search

Navigation