Skip to main content
SpringerLink
Log in

Comparison оf Shooting Method and Variational Approach for Two-Point Ionospheric Ray Tracing

  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A comparative analysis of two methods for two-point ionospheric ray tracing problem is presented. For the chosen model conditions, the accuracy and computing time parameters are compared using the shooting method and the variational approach.

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. Kravtsov, Yu.A. and Orlov, Yu.I., Geometricheskaya optika neodnorodnykh sred (Geometric Optics of Heterogeneous Media), Moscow: Nauka, 1980.

  2. Kazantsev, A.N., Lukin, D.S., and Spiridonov, Yu.G., Kosm. Issled., 1967, vol. 5, no. 4, p. 593.

    Google Scholar 

  3. Kryukovskii, A.S., Lukin, D.S., and Kiryanova, K.S., J. Commun. Technol. Electron., 2012, vol. 57, no. 9, p. 1039.

    Article  Google Scholar 

  4. Kotova, D.S., Klimenko, M.V., Klimenko, V.V., et al., Adv. Space Res., 2015, vol. 56, no. 9, p. 2012.

    Article  ADS  Google Scholar 

  5. Andreeva, E.S., Frolov, V.L., Kunitsyn, V.E., et al., Radio Sci., 2016, vol. 51, no. 6, p. 638.

    Article  ADS  Google Scholar 

  6. Padokhin, A.M., Andreeva, E.S., Nazarenko, M.O., et al., Moscow Univ. Phys. Bull. (Engl. Transl.), 2019, vol. 74, no. 3, p. 282.

  7. Nelder, J.A. and Mead, R., Comput. J., 1965, vol. 7, no. 4, p. 308.

    Article  MathSciNet  Google Scholar 

  8. Andreev, M.Yu., Blagoveshchenskii, D.V., Vystavnoi, V.M., et al., Geomagn. Aeron., 2007, vol. 47, no. 4, p. 487.

    Article  ADS  Google Scholar 

  9. Karpenko, A.L. and Popov, A.V., in Rasprostranenie radiovoln v ionosfere (Propagation of Radio Waves in the Ionosphere), Moscow: Inst. Zemn. Magn., Ionosfery Rasprostraneniya Radiovoln, Ross. Akad. Nauk, 1986, p. 51.

  10. Balaganskii, B.A., Cand. Sci. (Phys.–Math.) Dissertation, Chita: Baikal State Univ., 2003.

  11. Laryunin, O.A. and Kurkin, V.I., Soln.-Zemn. Fiz., 2011, no. 19, p. 107.

  12. Borisova, T.D., Blagoveshchenskaya, N.F., and Kalishin, A.S., Probl. Arkt. Antarkt., 2017, no. 3, p. 78.

  13. Voronkov, V.A. and Danilkin, I.P., Available from Immanuel Kant Baltic Fed. Univ., 1985, Kaliningrad, no. 5545-85 DEP.

  14. Benzik, A.V., Tekh. Radiosvyazi, 2014, no. 1, p. 32.

  15. Coleman, CJ., Radio Sci., 2011, vol. 46, no. 05, RS004748.

    Article  Google Scholar 

  16. Nosikov, I.A., Klimenko, M.V., Zhbankov, G.A., et al., IEEE Trans. Antennas Propag., 2020, vol. 68, no. 1, p. 455.

    Article  ADS  Google Scholar 

  17. Kotova, D.S., Nosikov, I.A., and Klimenko, M.V., Sb. dokl. Baikal’sk. shkoly po fundam. fiz. 2019 (BShFF 2019) (Proc. Baikal. Schools for Fundamental Physics 2019), Irkutsk, 2019, p. 169.

  18. Zakharov, V.E. and Chernyak, A.A., Vestn. Balt. Fed. Univ. im. I. Kanta, Ser. Fiz.-Mat. Tekh. Nauki, 2007, no. 3, p. 36.

  19. Kotova, D.S., Proc. Phys. Auroral Phenom., 2018, no. 41, p. 129.

  20. Nosikov, I.A., Klimenko, M.V., Bessarab, P.F., et al., Adv. Space Res., 2017, vol. 60, no. 2, p. 491.

    Article  ADS  Google Scholar 

  21. Andersen, H.C., J. Chem. Phys., 1980, vol. 72, no. 4, p. 2384.

    Article  ADS  Google Scholar 

Download references

ACKNOWLEDGMENTS

The authors are grateful to Dr. P. F. Bessarab for his long cooperation and valuable contribution to developing variational method. The authors are grateful to Dr. F. S. Bessarab and Dr. I. V. Karpov for their interest in our work and helpful consultations.

Funding

Our modeling was supported by RF Presidential Grant for Young Scientists no. MK-2584.2019.5 (D.S. Kotova, and I.A. Nosikov). Generalized force approach and global optimization were developed and refined with the support of the Russian Science Foundation, project no. 17-77-20009 (M.V. Klimenko).

Author information

Authors and Affiliations

  1. Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation, West Department, Kaliningrad, Russia

    D. S. Kotova, I. A. Nosikov & M. V. Klimenko

  2. Department of Physics, University of Oslo, 0316, Oslo, Norway

    D. S. Kotova

  3. Immanuel Kant Baltic Federal University, Kaliningrad, Russia

    V. E. Zakharov

Authors
  1. D. S. Kotova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. A. Nosikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. V. Klimenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. V. E. Zakharov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. S. Kotova.

Additional information

Translated by V. Vetrov

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kotova, D.S., Nosikov, I.A., Klimenko, M.V. et al. Comparison оf Shooting Method and Variational Approach for Two-Point Ionospheric Ray Tracing. Bull. Russ. Acad. Sci. Phys. 85, 262–267 (2021). https://doi.org/10.3103/S1062873821030114

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1062873821030114

Search

Navigation