Technical Physics Letters
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Solving of the Hufford integral equation for short distances in the radio wave propagation problem
Abdulkhakov A. A. 1, Andreev A. G. 1, Erokhin A. A. 1, Knyazeva K. V.1, Panko V. S. 1, Senchenko A. A. 1
1Siberian Federal University, Krasnoyarsk, Russia
Email: aabdulhakov@sfu-kras.ru, AAndreyev@sfu-kras.ru, aerokhin@sfu-kras.ru, vpanko@sfu-kras.ru, alsenchenko@mail.ru

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The article examines the Hufford integral equation and two simplified versions of it. It is shown that the second version of the simplified equation can be used for distances up to approximately 100 km. A method for the analytical solution of the Hufford integral equation for a homogeneous spherical earth is presented. A refined formula for short distances to calculate the attenuation factor is derived. Keywords: diffraction, attenuation function, attenuation factor, Hufford integral equation, Sprut-N1.
  1. I.V. Kulikovskii, O.R. Adamovich, D.V. Berbenev, Voen. Mysl', No 12, 50 (2023). https://elibrary.ru/ebcise
  2. A.S. Seliverstov, Zap. Gidrogr., 308, 54 (2019) (in Russian). https://mil.ru/activity/social/media/journal/notes_on_ hydrography
  3. E.L. Feinberg, Rasprostranenie radiovoln vdol' zemnoi poverkhnosti (Nauka, M., 1999), pp. 167, 281, 284 (in Russian)
  4. V.A. Fock, Problemy difraktsii i rasprostraneniya elektromagnitnykh voln (Sov. Radio, M., 2011), p. 249 (in Russian)
  5. M.G. Dembelov, Yu.B. Bashkuev, Fiz. Volnovykh Protsessov Radiotekh. Sist., 11 (1), 89 (2008) (in Russian). https://www.elibrary.ru/item.asp?id=12946241
  6. G.I. Makarov, V.V. Novikov, S.T. Rybachek, Rasprostranenie elektromagnitnykh voln nad zemnoi poverkhnost'yu (Nauka, M., 1991), pp. 33--49 (in Russian)
  7. A.A. Senchenko, Yu.P. Salomatov, Izv. Vyssh. Uchebn. Zaved. Fiz., 53 (9/2), 114 (2010) (in Russian). https://www.elibrary.ru/item.asp?id=16036544
  8. G.A. Hufford, Quart. Appl. Math., 9 (4), 391 (1952). DOI: 10.1090/qam/44350
  9. I.S. Berezin, N.P. Zhidkov, Metody vychislenii (Fizmatlit, M., 1959), Vol. 2, p. 613 (in Russian)
  10. A.A. Senchenko, Yu.P. Salomatov, Dokl. TUSUR, 26 (2-2), 36 (2012) (in Russian). https://www.elibrary.ru/item.asp?id=18900071
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