Optics and Spectroscopy

, Volume 127, Issue 4, pp 612–617 | Cite as

A Mathematical Model of Laser Radiation Propagation in Seawater

  • N. M. KostylevEmail author
  • V. Ya. Kolyuchkin
  • R. O. Stepanov


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.


underwater vision system water inherent optical properties optical radiation transfer turbid medium 



The authors declare that they have no conflict of interest.


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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  • N. M. Kostylev
    • 1
    Email author
  • V. Ya. Kolyuchkin
    • 1
  • R. O. Stepanov
    • 1
  1. 1.Bauman Moscow State Technical UniversityMoscowRussia

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