Skip to main content
Log in

A Mathematical Model of Laser Radiation Propagation in Seawater

  • PHYSICAL OPTICS
  • Published:
Optics and Spectroscopy Aims and scope Submit manuscript

Abstract

Based on the well-known models of optical properties of a seawater layer in the spectral range of 530–550 nm, a mathematical model of the propagation of laser radiation is proposed. The mathematical model is obtained by solving radiative transfer equation for a narrow beam using a few-parameter approximation of the scattering indicatrix of the seawater layer. The model makes it possible to determine the spatial distribution of irradiance at a given distance from the laser radiation source by the known Secchi disk depth. The results of numerical experiments for water areas with known optical properties are given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.

Similar content being viewed by others

REFERENCES

  1. L. Prieur and S. Sathyendranath, Limnol. Oceanogr. 26, 671 (1981).

    Article  ADS  Google Scholar 

  2. O. V. Kopelevich, in Proceedings of the 1st International Conference on Current Problems in Optics of Natural Waters ONW'2001, Ed. by I. Levin, G. Gilbert, and D. S. Rozhdestvensky (Opt. Soc., St. Petersburg, 2001), p. 18.

  3. L. S. Dolin and V. A. Savel’ev, Izv., Atmos. Ocean. Phys. 36, 730 (2000).

    Google Scholar 

  4. L. S. Dolin, Izv., Atmos. Ocean. Phys. 38, 240 (2002).

    Google Scholar 

  5. R. A. Arnone, S. Tucker, and F. Hilder, Proc. SPIE 489, 195 (1984).

    Article  ADS  Google Scholar 

  6. I. M. Levin and O. V. Kopelevich, Oceanology 47, 344 (2007).

    Article  ADS  Google Scholar 

  7. I. M. Levin, in Fundamental and Appliled Hydrophysics, Collection of Articles (2007), p. 20.

    Google Scholar 

  8. E. E. Mukhina, Extended Abstract of Cand. Sci. Dissertation (Bauman Mosc. State Tech. Univ., Moscow, 2005).

  9. R. W. Gould, R. A. Arnone, and P. M. Martinolich, Appl. Opt. 38, 2377 (1999).

    Article  ADS  Google Scholar 

  10. A. V. Zimin, A. A. Rodionov, M. A. Rodionov, N. E. Pokrovskaya, and O. N. Frantsuzov, in Proceedings of the 5th International Conference on Current Problems in Optics of Natural Waters ONW’2009, p. 171.

  11. R. E. Vlasenkov and A. P. Makshtas, Oceanography and Sea Ice (Paulsen, Moscow, 2011), p. 208 [in Russian].

    Google Scholar 

  12. A. S. Lubkov, E. N. Voskresenskaya, and A. S. Kukushkin, in Proceedings of the Youth Conference on Ecological Problems of the Azov-Black Sea Region and Integrated Coastal Zone Management, Sevastopol,2014, p. 67.

  13. M. A. Rodionov, Extended Abstract of Cand. Sci. Dissertation (St. Petersburg, 2012).

  14. I. M. Levin, Fundam. Prikl. Gidrofiz., No. 3, 3 (2014).

  15. V. E. Karasik and V. M. Orlov, Locational Laser Vision Systems (MGTU im. N.E. Baumana, Moscow, 2013) [in Russian].

  16. V. E. Karasik, E. E. Mukhina, and V. M. Orlov, Vestn. MGTU im. N.E. Baumana, Ser. Priborostr., No. 1, 19 (2004).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. M. Kostylev.

Ethics declarations

The authors declare that they have no conflict of interest.

Additional information

Translated by O. Kadkin

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kostylev, N.M., Kolyuchkin, V.Y. & Stepanov, R.O. A Mathematical Model of Laser Radiation Propagation in Seawater. Opt. Spectrosc. 127, 612–617 (2019). https://doi.org/10.1134/S0030400X1910014X

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0030400X1910014X

Keywords:

Navigation