Conclusions
We have thus obtained asymptotic expressions for the Green functions of the Dyson equation in the nonlinear approximation of Kraichnan for the mass operator in the case of shortwave propagation in a Gaussian turbulent medium in the one- and three-dimensional cases, and these expressions are valid in the domain where the Bourret approximation fails. The applicability of the nonlinear approximation in this kind of problem is corroborated by a specific example. The results can be used to analyze problems of shortwave propagation in highly turbulent media.
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Institute of Radio Engineering and Electronics, Academy of Sciences of the USSR. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 23, No. 5, pp. 555–569, May, 1980.
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Armand, N.A., Sekistov, V.N. Application of the nonlinear Dyson equation for the investigation of shortwave propagation in a Gaussian turbulent medium. Radiophys Quantum Electron 23, 373–385 (1980). https://doi.org/10.1007/BF01033735
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DOI: https://doi.org/10.1007/BF01033735