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Verification of a New Model of the Irradiance Distribution from a Unidirectional Point Source in Water Using the Monte Carlo Method

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Radiophysics and Quantum Electronics Aims and scope

We study the spatio-angular structure of a nonstationary light field produced in seawater by a unidirectional point source. The calculation results obtained using an analytical model, which allows for the photon spread over the propagation paths, and the statistical simulation method are compared. It is shown that the analytical model provides a good description of the amplitude-frequency characteristics of irradiance in a wide range of variation in the essential parameters of the problem, namely, the distance from the source, the angle reckoned from the radiation axis, and the frequency. Disagreement of the results of the analytical model and statistical simulation is observed at high frequencies and long distances where the approximations used during the model development are inapplicable.

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References

  1. J. S. Jaffe, K. D. Moore, J. McLean, and M. P. Strand, Oceanography, 14, No. 3, 64–75 (2001). https://doi.org/10.5670/oceanog.2001.24

    Article  Google Scholar 

  2. I. M. Levin, Izv. Acad. Nauk SSSR, Fiz. Atmos. Oceana, 5, 62–76 (1969).

  3. D. M. Bravo-Zhivotovsky, L. SDolin, A. G. Luchinin, and V. A. Savel’ev, Izv. Acad. Nauk SSSR, Fiz. Atmos. Oceana, 5, No. 7, 672–684 (1969).

  4. L. E. Mertens and F. S. Replogle, J. Opt. Soc. Am., 67, No. 8, 1105–1117 (1977). https://doi.org/10.1364/JOSA.67.001105

    Article  ADS  Google Scholar 

  5. L. S. Dolin and I. M. Levin, Handbook in the Theory of Underwater Vision [in Russian], Gidrometeoizdat, Leningrad (1991).

  6. E. P. Zege, A. P. Ivanov, and I. L. Katsev, Image Transfer through a Scattering Medium, Springer, Berlin–Heidelberg (1991).

  7. A. G. Luchinin and L. S. Dolin, Izv. Atmos. Ocean. Phys., 50, No. 4, 411–419 (2014). https://doi.org/10.1134/S0001433814040185

    Article  Google Scholar 

  8. B. Billard, R. H. Abbot, and M. F. Penny, Appl. Opt., 25, No. 13, 2080–2088 (1986). https://doi.org/10.1364/AO.25.002080

    Article  ADS  Google Scholar 

  9. F. E. Hoge, C. W. Wright, W. B. Krabill, et al., Appl. Opt., 27, No. 19, 3969–3977 (1988). https://doi.org/10.1364/AO.27.003969

    Article  ADS  Google Scholar 

  10. R. M. Measures, Laser Remote Sensing: Fundamentals and Applications, Krieger, Malabar (1992).

  11. R. E. Walker, Marine Light Statistics, Wiley, New York (1994).

  12. A. F. Bunkin, D. V. Vlasov, D. M. Mirkamilov, and V. P. Slabodyanin, Dokl. Acad. Nauk SSSR, 277, 335–337 (1984).

    Google Scholar 

  13. A. P. Vasilkov, Y. A. Goldin, B. A. Gureev, et al., Appl. Opt., 40, No. 24, 43–53 (2001). https://doi.org/10.1364/AO.40.004353

    Article  Google Scholar 

  14. V. I. Feygels, Y. I. Kopilevich, A. I. Surkov, et al., Proc. SPIE, 5155, 12–21 (2003). https://doi.org/10.1117/12.506976

    Article  ADS  Google Scholar 

  15. J. H. Churnside and L. A. Ostrovsky, Int. J. Remote Sens., 26, No. 1, 167–177 (2005). https://doi.org/10.1080/01431160410001735076

    Article  Google Scholar 

  16. Y. I. Kopilevich, V. I. Feygels, G. H. Tuell, and A. I. Surkov, Proc. SPIE, 5885, 5885OD (2005). https://doi.org/10.1117/12.618923

  17. G. H. Tuell, V. Feygels, Yu. Kopilevich, et al., Proc. SPIE., 5885, 5885OE (2005). https://doi.org/10.1117/12.619215

  18. A. G. Luchinin, Izv. Atmos. Ocean. Phys., 48, No. 6, 663–671 (2014). https://doi.org/10.1134/S0001433812060072

    Article  Google Scholar 

  19. L. S. Dolin, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 7, No. 2, 380–382 (1964).

  20. L. S. Dolin, Radiophys. Quantum Electron., 9, No. 1, 40–47 (1966). https://doi.org/10.1007/BF01108374

    Article  ADS  Google Scholar 

  21. D. M. Bravo-Zhivotovsky, L. SDolin, A. G. Luchinin, and V. A. Savel’ev, Izv. Acad. Nauk SSSR, Fiz. Atmos. Oceana, 5, No. 2, 160–167 (1969).

  22. D. Arnush, J. Opt. Soc. Am., 62, 1109–1111 (1972). https://doi.org/10.1364/JOSA.62.001109

    Article  ADS  Google Scholar 

  23. A. Ishimaru, Wave Propagation and Scattering in Random Media, Academic Press, New York (1978).

  24. L. S. Dolin and V. A. Savel’ev, Radiophys. Quantum Electron., 22, No. 11, 911–917 (1979). https://doi.org/10.1007/BF01040301

    Article  ADS  Google Scholar 

  25. A. G. Luchinin and V. A. Savel’ev, Radiophys. Quantum Electron., 12, No. 2, 205–211 (1969). https://doi.org/10.1007/BF01031281

    Article  ADS  Google Scholar 

  26. D. V. Rogozkin, Izv. Ros. Acad. Nauk, Fiz. Atmos. Oceana, 23, No. 3, 275–281 (1987).

  27. L. S. Dolin, Dokl. Acad. Nauk SSSR, 260, 1344–1347 (1981).

    ADS  Google Scholar 

  28. L. S. Dolin, Radiophys. Quantum Electron., 26, No. 3, 220–228 (1983). https://doi.org/10.1007/BF01045097

    Article  ADS  Google Scholar 

  29. J. W. McLean, J. D. Freeman, and R. E. Walker, Appl. Opt., 37, No. 21, 4701–4711 (1998). https://doi.org/10.1364/AO.37.004701

    Article  ADS  Google Scholar 

  30. L. S. Dolin, J. Mar. Sci. Eng., 8, No. 2, 79 (2020). https://doi.org/10.3390/jmse8020079

    Article  Google Scholar 

  31. E. P. Zege, I. L. Katsev, A. S. Prikhach, et al., Appl. Opt., 45, No. 25, 6577–6585 (2006). https://doi.org/10.1364/AO.45.006577

    Article  ADS  Google Scholar 

  32. A. G. Luchinin and M. Yu. Kirillin, Izv. Atmos. Oceanic Phys., 53, No. 2, 242–249 (2017). https://doi.org/10.1134/S0001433817020086

    Article  ADS  Google Scholar 

  33. A. G. Luchinin and M. Yu. Kirillin, Appl. Opt., 55, No. 27, 7756–7762 (2016). https://doi.org/10.1364/AO.55.007756

    Article  ADS  Google Scholar 

  34. A. G. Luchinin, M. Yu. Kirillin, and L. S. Dolin, Appl. Opt., 59, No. 20, 6046–6053 (2020). https://doi.org/10.1364/AO.395561

    Article  ADS  Google Scholar 

  35. G. I. Marhuk, ed., Monte Carlo Method in Atmospheric Optics [in Russian], Nauka, Novosibirsk (1976).

  36. A. Ivanov, Introduction to Oceanography [Russian translation], Mir, Moscow (1978).

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Correspondence to A. G. Luchinin.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 64, No. 5, pp. 354–365, May 2021. Russian DOI: 10.52452/00213462_2021_64_05_354

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Luchinin, A.G., Kirillin, M.Y. & Dolin, L.S. Verification of a New Model of the Irradiance Distribution from a Unidirectional Point Source in Water Using the Monte Carlo Method. Radiophys Quantum El 64, 321–331 (2021). https://doi.org/10.1007/s11141-022-10134-x

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  • DOI: https://doi.org/10.1007/s11141-022-10134-x

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