Abstract

The dependence of the light field of a limited radiation beam in a turbid medium on the form of the forward-scattering index is investigated in the small-angle-scattering approximation. The contribution of small-angle scattering to the attenuation index of the separate spatial harmonics of the beam's initial radiance distribution is analyzed. Calculations are carried out with the volume scattering functions experimentally measured by Petzold for three types of sea water (clear ocean, coastal ocean, and turbid harbor) and Dolin's model index, as well as in the small-angle diffusion approximation. A discussion is given of how the “small-angle” scattering index affects the irradiance-attenuation index and the size of the light-beam cross section in the problem of remote laser probing of the ocean.

© 2010 Optical Society of America

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  1. A.S.Monin, ed., The Optics of the Ocean, vol. 1, The Physical Optics of the Ocean (Nauka, Moscow, 1983).
  2. L. S. Dolin and I. M. Levin, Handbook on the Theory of Underwater Vision (Gidrometeoizdat, Leningrad, 1991).
  3. I. S. Dolina, L. S. Dolin, I. M. Levin, and A. A. Rodionov, “Diagnostic abilities of oceanic lidar,” in Proceedings of the Third International Conference on Current Problems of Natural Waters, 2005, pp. 220-225.
  4. D. M. Bravo-Zhivotovskiĭ, L. S. Dolin, A. G. Luchinin, and V. A. Savel'ev, “On the structure of a narrow light beam in sea water,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 5, 160 (1969).
  5. T. J. Petzold, “Volume scattering functions for selected ocean waters,” Scripps Institute of Oceanography, 1972, UC San Diego.
  6. C. D. Mobley, “Optical Properties of Water,” in Handbook of Optics, ed. M.Bass (McGraw-Hill, 1994).
  7. R. Sanches and N. J. McCormick, “Analytic beam spread function for ocean optics applications,” Appl. Opt. 41, 6276 (2002).
    [CrossRef]
  8. L. S. Dolin, O. V. Kopelevich, I. M. Levin, and V. I. Feĭgel's, “Small-parameter models of light fields in the sea and the overall characteristics of the scattering index of water,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 5, No. 2, 160 (1969).
  9. Yu. I. Kopilevich and A. G. Surkov, “Mathematical modeling of the input signals of oceanological lidars,” Opt. Zh. 75, No. 5, 45 (2008) Yu. I. Kopilevich and A. G. Surkov,[Sov. J. Opt. Technol. 75, 321 (2008)].

2008

Yu. I. Kopilevich and A. G. Surkov, “Mathematical modeling of the input signals of oceanological lidars,” Opt. Zh. 75, No. 5, 45 (2008) Yu. I. Kopilevich and A. G. Surkov,[Sov. J. Opt. Technol. 75, 321 (2008)].

Yu. I. Kopilevich and A. G. Surkov, “Mathematical modeling of the input signals of oceanological lidars,” Opt. Zh. 75, No. 5, 45 (2008) Yu. I. Kopilevich and A. G. Surkov,[Sov. J. Opt. Technol. 75, 321 (2008)].

2002

1969

D. M. Bravo-Zhivotovskiĭ, L. S. Dolin, A. G. Luchinin, and V. A. Savel'ev, “On the structure of a narrow light beam in sea water,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 5, 160 (1969).

L. S. Dolin, O. V. Kopelevich, I. M. Levin, and V. I. Feĭgel's, “Small-parameter models of light fields in the sea and the overall characteristics of the scattering index of water,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 5, No. 2, 160 (1969).

Bravo-Zhivotovskii, D. M.

D. M. Bravo-Zhivotovskiĭ, L. S. Dolin, A. G. Luchinin, and V. A. Savel'ev, “On the structure of a narrow light beam in sea water,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 5, 160 (1969).

Dolin, L. S.

D. M. Bravo-Zhivotovskiĭ, L. S. Dolin, A. G. Luchinin, and V. A. Savel'ev, “On the structure of a narrow light beam in sea water,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 5, 160 (1969).

L. S. Dolin, O. V. Kopelevich, I. M. Levin, and V. I. Feĭgel's, “Small-parameter models of light fields in the sea and the overall characteristics of the scattering index of water,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 5, No. 2, 160 (1969).

I. S. Dolina, L. S. Dolin, I. M. Levin, and A. A. Rodionov, “Diagnostic abilities of oceanic lidar,” in Proceedings of the Third International Conference on Current Problems of Natural Waters, 2005, pp. 220-225.

L. S. Dolin and I. M. Levin, Handbook on the Theory of Underwater Vision (Gidrometeoizdat, Leningrad, 1991).

Dolina, I. S.

I. S. Dolina, L. S. Dolin, I. M. Levin, and A. A. Rodionov, “Diagnostic abilities of oceanic lidar,” in Proceedings of the Third International Conference on Current Problems of Natural Waters, 2005, pp. 220-225.

Feigel's, V. I.

L. S. Dolin, O. V. Kopelevich, I. M. Levin, and V. I. Feĭgel's, “Small-parameter models of light fields in the sea and the overall characteristics of the scattering index of water,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 5, No. 2, 160 (1969).

Kopelevich, O. V.

L. S. Dolin, O. V. Kopelevich, I. M. Levin, and V. I. Feĭgel's, “Small-parameter models of light fields in the sea and the overall characteristics of the scattering index of water,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 5, No. 2, 160 (1969).

Kopilevich, Yu. I.

Yu. I. Kopilevich and A. G. Surkov, “Mathematical modeling of the input signals of oceanological lidars,” Opt. Zh. 75, No. 5, 45 (2008) Yu. I. Kopilevich and A. G. Surkov,[Sov. J. Opt. Technol. 75, 321 (2008)].

Yu. I. Kopilevich and A. G. Surkov, “Mathematical modeling of the input signals of oceanological lidars,” Opt. Zh. 75, No. 5, 45 (2008) Yu. I. Kopilevich and A. G. Surkov,[Sov. J. Opt. Technol. 75, 321 (2008)].

Levin, I. M.

L. S. Dolin, O. V. Kopelevich, I. M. Levin, and V. I. Feĭgel's, “Small-parameter models of light fields in the sea and the overall characteristics of the scattering index of water,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 5, No. 2, 160 (1969).

I. S. Dolina, L. S. Dolin, I. M. Levin, and A. A. Rodionov, “Diagnostic abilities of oceanic lidar,” in Proceedings of the Third International Conference on Current Problems of Natural Waters, 2005, pp. 220-225.

L. S. Dolin and I. M. Levin, Handbook on the Theory of Underwater Vision (Gidrometeoizdat, Leningrad, 1991).

Luchinin, A. G.

D. M. Bravo-Zhivotovskiĭ, L. S. Dolin, A. G. Luchinin, and V. A. Savel'ev, “On the structure of a narrow light beam in sea water,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 5, 160 (1969).

McCormick, N. J.

Mobley, C. D.

C. D. Mobley, “Optical Properties of Water,” in Handbook of Optics, ed. M.Bass (McGraw-Hill, 1994).

Petzold, T. J.

T. J. Petzold, “Volume scattering functions for selected ocean waters,” Scripps Institute of Oceanography, 1972, UC San Diego.

Rodionov, A. A.

I. S. Dolina, L. S. Dolin, I. M. Levin, and A. A. Rodionov, “Diagnostic abilities of oceanic lidar,” in Proceedings of the Third International Conference on Current Problems of Natural Waters, 2005, pp. 220-225.

Sanches, R.

Savel'ev, V. A.

D. M. Bravo-Zhivotovskiĭ, L. S. Dolin, A. G. Luchinin, and V. A. Savel'ev, “On the structure of a narrow light beam in sea water,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 5, 160 (1969).

Surkov, A. G.

Yu. I. Kopilevich and A. G. Surkov, “Mathematical modeling of the input signals of oceanological lidars,” Opt. Zh. 75, No. 5, 45 (2008) Yu. I. Kopilevich and A. G. Surkov,[Sov. J. Opt. Technol. 75, 321 (2008)].

Yu. I. Kopilevich and A. G. Surkov, “Mathematical modeling of the input signals of oceanological lidars,” Opt. Zh. 75, No. 5, 45 (2008) Yu. I. Kopilevich and A. G. Surkov,[Sov. J. Opt. Technol. 75, 321 (2008)].

Appl. Opt.

Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana

L. S. Dolin, O. V. Kopelevich, I. M. Levin, and V. I. Feĭgel's, “Small-parameter models of light fields in the sea and the overall characteristics of the scattering index of water,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 5, No. 2, 160 (1969).

D. M. Bravo-Zhivotovskiĭ, L. S. Dolin, A. G. Luchinin, and V. A. Savel'ev, “On the structure of a narrow light beam in sea water,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 5, 160 (1969).

Opt. Zh.

Yu. I. Kopilevich and A. G. Surkov, “Mathematical modeling of the input signals of oceanological lidars,” Opt. Zh. 75, No. 5, 45 (2008) Yu. I. Kopilevich and A. G. Surkov,[Sov. J. Opt. Technol. 75, 321 (2008)].

Other

T. J. Petzold, “Volume scattering functions for selected ocean waters,” Scripps Institute of Oceanography, 1972, UC San Diego.

C. D. Mobley, “Optical Properties of Water,” in Handbook of Optics, ed. M.Bass (McGraw-Hill, 1994).

A.S.Monin, ed., The Optics of the Ocean, vol. 1, The Physical Optics of the Ocean (Nauka, Moscow, 1983).

L. S. Dolin and I. M. Levin, Handbook on the Theory of Underwater Vision (Gidrometeoizdat, Leningrad, 1991).

I. S. Dolina, L. S. Dolin, I. M. Levin, and A. A. Rodionov, “Diagnostic abilities of oceanic lidar,” in Proceedings of the Third International Conference on Current Problems of Natural Waters, 2005, pp. 220-225.

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