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Statistical properties of an effective index of refraction in a flat-layered randomly inhomogeneous medium

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Abstract

The notion of the effective index of refraction in a one-dimensional randomly inhomogeneous medium is introduced based on the generalized eikonal equation. This physical quantity furnishes an unambiguous definition of the wave field propagating under prescribed boundary conditions in the medium considered. Within the framework of a Markovian diffusion approximation, the one-point probability density of the averaged effective index of refraction is found as well as a number of its statistical properties, namely, the mean value and its fluctuation variance. The applicability range of the results obtained is discussed for random inhomogeneities with a finite correlation radius.

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References

  1. M. B. Vinogradova, V. D. Gusev, Radiotekh. Élektron.,19, No. 3, 481 (1974).

    Google Scholar 

  2. S. M. Golynski, V. D. Gusev, Phys. Lett. A.,154, No. 3, 4, 145 (1990).

    Google Scholar 

  3. V. L. Ginzburg, Propagation of Electromagnetic Waves in Plasma [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  4. G. C. Papanicolaou, SIAM J. Appl. Math.,21, No. 1, 13 (1971).

    Google Scholar 

  5. V. I. Klyatskin, Submersion Method in the Theory of Wave Propagation [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  6. S. M. Golynski, V. D. Gusev, “Waves in random media,”2, No. 2, 111 (1992).

  7. N. G. Van Kampen, Stochastic Processes in Physics and Chemistry [in Russian], Vysshaya Shkola, Moscow (1990).

    Google Scholar 

  8. R. L. Stratonovich, Selected Issues of Fluctuation Theory in Radio Engineering [in Russian], Sovetskoe Radio (1961).

  9. S. M. Rytov, Yu. A. Kravtsov, V. I. Tatarsky, Introduction into Statistical Radiophysics. Part II. Random Fields. [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  10. L. A. Chernov, Waves in Randomly Inhomogeneous Media [in Russian] (1977).

  11. J. A. Morrison, G. C. Papanicolaou, J. B. Keller, Comm. Pure Appl. Math.,24, No. 4, 473 (1971).

    Google Scholar 

  12. W. Magnus, F. Oberhettinger, R. P. Sony, Formulas and Theorems for the Special Functions of Mathematical Physics, Springer-Verlag, New York (1966).

    Google Scholar 

  13. V. I. Klyatskin, V. I. Tatarskii, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,20, No. 10, 1040 (1977).

    Google Scholar 

  14. V. D. Gusev, S. M. Golynskii, Vestn. Mosk. Univ. Ser. 3, Fiz. Astron.,31, No. 5, 90 (1920).

    Google Scholar 

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Authors
  1. S. M. Golynskii
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  2. V. D. Gusev
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Additional information

Moscow State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 36, No. 9, pp. 914–927, September, 1993.

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Golynskii, S.M., Gusev, V.D. Statistical properties of an effective index of refraction in a flat-layered randomly inhomogeneous medium. Radiophys Quantum Electron 36, 630–637 (1993). https://doi.org/10.1007/BF01038207

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  • DOI: https://doi.org/10.1007/BF01038207

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