A new method is proposed to calculate the mean level of an electromagnetic field propagating along sea paths, based on a numerical solution of the parabolic equation. A way of taking the influence of waviness of the sea surface on the mean level of the field strength of the radio field is proposed. This method is based on the method of conformal mapping of a curvilinear coordinate system above the uneven sea surface onto a Cartesian coordinate system above the sea surface. A comparison with computer simulations obtained using the Monte Carlo method is carried out.
Similar content being viewed by others
References
A. Ishimaru, Wave Propagation and Scattering in Random Media, Vol. 2, Academic Press, New York (1978).
V. B. Rasskazovskii and Yu. F. Logvinov, Radiofiz. Elektron., 12, No. 1, 168–176 (2007).
S. Mudaliar and F. Lin, IEEE Antennas and Propagation Society International Symposium, Honolulu, Hawaii, (2007), pp. 4809– 4812.
A. Karimian et al., Radio Science, 46, No. 6, 1–16 (2011).
I. M. Fuks, IEEE Trans. Antennas Propag., 49, No. 4, 630–639 (2001).
S. M. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii, Principles of Statistical Radiophysics, Vols. 3 and 4, Wave Propagation Through Random Media, Springer Verlag, Berlin (1989).
Recommendation R-REP-P.1008-1 (1990). Reflection from the Surface of the Earth.
A. V. Novikov and Yu. P. Akulinichev, Dokl. TUSURa, No. 1(23), 55–59 (2011).
M. Levy, Parabolic Equation Methods for Electromagnetic Wave Propagation, IEE, London (2000).
J. R. Kuttler and G. D. Dockery, Radio Science, 26, No. 2, 381–393 (1991).
F. N. Zakharov et al., Twenty-fourth Int. Crimean Conf. “Microwave & Telecommunication Technology” (CriMiCo’2014), Sevastopol (2014), pp. 1107–1108.
F. N. Zakharov and Yu. P. Akulinichev, Dokl. TUSURa, No. 2(36), 10–18 (2015).
F. N. Zakharov and Yu. P. Akulinichev, Dokl. TUSURa, No. 3(37), 5–11 (2015).
A. N. Fedosov and I. L. Filimonov, Sb. Nauchn. Trudov Akademii Voenno-Morskikh Sil im. P. S. Nakhimova, 3, 46–55 (2010).
D. Rouseff, IEEE Trans. Antennas Propag., 40, No. 9, 1076–1083 (1992).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 57–63, March, 2017.
Rights and permissions
About this article
Cite this article
Zakharov, F.N., Akulinichev, Y.P. & Anikin, A.S. Use of Conformal Mapping to Calculate the Mean Level of the Electromagnetic Field Above the Sea Surface. Russ Phys J 60, 441–448 (2017). https://doi.org/10.1007/s11182-017-1092-9
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11182-017-1092-9