• Українська
  • English
  • Русский
ISSN 2415-3400 (Online)
ISSN 1028-821X (Print)

On the potential of the total phase accumulation method in object observations through earth’s atmosphere

Kornienko, YV, Liashenko, I, Pugach, VV, Skuratovskiy, SI


O. Ya. Usikov Institute for Radiophysics and Electronics of the National Academy of Sciences of Ukraine
12, Proskura st., Kharkov, 61085, Ukraine

E-mail: ss_snake@urk.net

Язык: ukranian


Subject and Purpose. The influence of Earth’s atmosphere leads to significant distortion of object images obtained with Earth-based instruments. In this case, the distortion of the Fourier component phase plays a far more important role than the module distortion. The influence of Earth’s atmosphere on the Fourier component phase may be considered as a multiplicative noise in the frequency domain. For combatting this influence, we propose signal accumulation, implying that total phases rather than their main values, which are available for the direct measurements by experiment, should be accumulated. The features of the proposed total phase accumulation method are studied in the present paper.

Methods and Methodology. The current studies depend on computer experiment and theoretical analysis of the obtained results. The performance efficiency of the total phase accumulation method is evaluated with the aid of the computer system of astronomical image modeling and processing developed in the O.Ya. Usikov IRE of NASU.

Results. A relationship has been obtained between the error of image reconstruction by the total phase accumulation method and the number of the accumulated images in different observation conditions. The dependence has a non-monotonic behavior, which remains to be investigated.

Conclusion. That the reconstruction error dependence in the total phase accumulation method has a minimum is important for the practical method application as there comes an accumulation point after which the reconstruction accuracy degrades. The location of that minimum depends on the atmospheric parameters, sending us in search of a criterion for choosing an optimal sequence length of image accumulation.

Ключевые слова: image sequence, optimal sequence length, reconstruction error, total phase accumulation method

Manuscript submitted 24.01.2020
Radiofiz. elektron. 2020, 25(3): 60-67
Full text  (PDF)




1. Timofeev, Yu.M., Vasilyev A.V., 2003. Theoretical basis of atmosphere optics. Moscow: Nauka Publ. (in Russian).
2. Kornienko, Yu.V., 2008. Image processing in IRE NAS of Ukraine. In: V.M.Yakovenko, ed. 2008. Radiofizika i elektronika. Kharkov: IRE NAS of Ukraine Publ. 13(spec. iss.), pp. 423-445 (in Russian).
3. Labeyrie, A., 1970. Attainment of diffraction limited resolution in large telescopes by Fourier analysing speckle patterns in star images. Astron. astrophys., 6(1), pp. 85-87.
4. Sodin, L.G., 1976. Prospects for achieving the diffraction limit of telescope resolution in a turbulent atmosphere. Sov. Astron. Lett., 2(6), pp. 220-222.
5. Kornienko, Yu.V., Skuratovskiy, S.I., 2011. Fourier-component phase accumulation in observation of an object through a turbulent atmosphere: I. Kinematics Phys. Celestial Bodies, 27(6), pp. 304-310 (in Russian). DOI: https://doi.org/10.3103/S0884591311060043
6. Kornienko, Yu.V., Skuratovskiy, S.I., 2010. About the reconstruction of the undistorted image of an object by a series of its images distorted by a medium with random inhomogeneities of the refractive index. Dopov. Nac. akad. nauk Ukr., 2, pp. 83-89 (in Russian).
7. Kornienko, Yu.V., Skuratovskiy, S.I., 2012. Mechanism of information degradation in observations through a randomly inhomogeneous medium. Radiophysics and radioastronomy, 17(1), pp. 39-48 (in Russian).
8. Kornienko, Yu.V., Skuratovskiy, S.I., 2012. Fourier-component phase accumulation in observation of an object through a turbulent atmosphere: II. Kinematics Phys. Celestial Bodies, 28(2), pp. 77-84 (in Russian). DOI: https://doi.org/10.3103/S0884591312020043
9. Hadamard, J., 1902. Sur les Problèmes aux Dérivées Partielles et Leur Signification Physique. Princeton Université Bulletin, 13, p. 82.