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Simulation of a Random Profile of the Sea Surface

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Radiophysics and Quantum Electronics Aims and scope

We consider the problem of simulation of the slope field of a random surface profile, which is represented as a sum of a finite number of sinusoids with random phases. The behavior of the correlation function of the slopes is studied for equidistant and nonequidistant locations of the nodes of the model-field spectrum on the frequency axis. A new node-location method, which is based on the equalization of the amplitudes of the spectral components of the actual slope field and ensures maximum proximity of the correlation functions of the model and actual fields over the entire region of their definition, is proposed. Using this method, one can significantly reduce the number of the summed harmonics during the simulation of the sea wind waves. The problem of fluctuations of the above-water irradiance is studied using the proposed slope-simulation method and, as a result, its application efficiency is proved.

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References

  1. V. S. Pugachev, Theory of Random Functions and its Application to the Problems of Automatic Control [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  2. A. S. Shalygin and Yu. I. Palagin, Applied Methods for Statistical Simulation [in Russian], Mashinostroenie, Leningrad (1986).

    MATH  Google Scholar 

  3. S. M. Prigarin, Methods of Numerical Simulation of the Random Processes and Fields [in Russian], Inst. Comp. Math. Math. Geophys., Novbosibirsk (2005).

    Google Scholar 

  4. B. A. Kargin and S. M. Prigarin, Atmos. Oceanic Opt. 5, No. 3, 186 (1992).

    Google Scholar 

  5. S. R. Anvarov and S. M. Prigarin, Atmos. Oceanic Opt., 7, No. 5, 361 (1994).

    Google Scholar 

  6. V. L. Weber, “Simulation of the one-dimensional random surface,” Preprint No. 603 [in Russian], Inst. Appl. Phys., Nizhny Novgorod (2002).

  7. D. I. Abrosimov and A. G. Luchinin, “Statistical simulation of the lidar signals when sounding the upper ocean layer through the rough surface,” Preprint No. 438 [in Russian], Inst. Appl. Phys. Nizhny Novgorod (1997).

  8. V. L. Veber, Atmos. Oceanic Opt. 8, No. 9, 1394 (1995).

    Google Scholar 

  9. E. G. Burtsev and V. N. Pelevin, in: Light Fields in the Ocean [in Russian], Inst. Oceanolog., Moscow (1979), p. 231.

  10. G. A. Mikhailov, Dokl. Akad. Nauk SSSR, 238, No. 4, 793 (1978).

    MathSciNet  Google Scholar 

  11. B. A. Kargin, Simulation of the Wave Fields [in Russian], Comp. Center Siberian Branch USSR Acad. Sci., Novosibirsk (1983), p. 25.

  12. V. L. Weber, Radiophys. Quantum Electron., 53, No. 1, 13 (2010).

    Article  ADS  Google Scholar 

  13. V. L. Weber, in: Proc. IInd Int. Conf. “Current Problems in Optics of Natural Waters,” St. Petersburg, September 8–13, 2003, p. 201.

  14. V. L. Weber, in: Proc. IIIrd Int. Conf. “Current Problems in Optics of Natural Waters,” St. Petersburg, 12–16 Sept., 2005, p. 345.

  15. D. I. Abrosimov and V. L. Weber, in: Proc. IVth Int. Conf. “Current Problems in Optics of Natural Waters,” Nizhny Novgorod, September 11-15, 2007, p. 238.

  16. V. L. Weber, in: Proc. VIIth Int. Conf. “Current Problems in Optics of Natural Waters,” St. Petersburg, September 10-14, 2013, p. 239.

  17. V. L. Weber, in: Proc. VIIth Int. Conf. “Current Problems in Optics of Natural Waters,” St. Petersburg, September 10-14, 2013, p. 234.

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Correspondence to V. L. Weber.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 60, No. 4, pp. 346–360, April 2017.

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Weber, V.L. Simulation of a Random Profile of the Sea Surface. Radiophys Quantum El 60, 309–322 (2017). https://doi.org/10.1007/s11141-017-9801-3

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  • DOI: https://doi.org/10.1007/s11141-017-9801-3

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