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Applied Optics

Applied Optics


  • Vol. 37, Iss. 21 — Jul. 20, 1998
  • pp: 4701–4711

Beam spread function with time dispersion

John W. McLean, Jonathan D. Freeman, and Ronald E. Walker  »View Author Affiliations

Applied Optics, Vol. 37, Issue 21, pp. 4701-4711 (1998)

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An analytical model for the beam spread function with time dispersion is modeled and validated against Monte Carlo calculations. The model, which is structured on simple statistical concepts and relies on only first and second moments for displacement, angle, and multipath time, is suitable for describing pulsed laser radiation propagation in nonconservative scattering media out to tens of scattering lengths. Numerical examples for marine environments are used to show its robustness and versatility.

© 1998 Optical Society of America

OCIS Codes
(010.3310) Atmospheric and oceanic optics : Laser beam transmission
(010.3640) Atmospheric and oceanic optics : Lidar
(010.4450) Atmospheric and oceanic optics : Oceanic optics
(030.5620) Coherence and statistical optics : Radiative transfer
(290.7050) Scattering : Turbid media

Original Manuscript: July 25, 1997
Revised Manuscript: April 9, 1998
Published: July 20, 1998

John W. McLean, Jonathan D. Freeman, and Ronald E. Walker, "Beam spread function with time dispersion," Appl. Opt. 37, 4701-4711 (1998)

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  1. D. Arnush, “Underwater light-beam propagation in the small-angle approximation,” J. Opt. Soc. Am. 62, 1109–1111 (1972). [CrossRef]
  2. L. S. Dolin, “Solution to the radiation transfer equation in a small-angle approximation for a stratified turbid medium with photon path dispersion taken into account,” Izv. Acad. Sci. USSR Atmos. Oceanic Phys. 16, 34–39 (1980).
  3. A. Ishimaru, “Pulse propagation, scattering, and diffusion in scatterers and turbulence,” Radio Sci. 14, 269–276 (1979). [CrossRef]
  4. A. Ishimaru, “Theory of optical propagation in the atmosphere,” Opt. Eng. 21, 63–70 (1981).
  5. D. B. Rogozkin, “Propagation of light pulse in a medium with strongly anisotropic scattering,” Izv. Acad. Sci. USSR Atmos. Oceanic Phys. 23, 275–281 (1987).
  6. H. C. van de Hulst, G. Kattawar, “Exact spread function for pulsed collimated beam in a medium with small-angle scattering,” Appl. Opt. 33, 5820–5829 (1994). [CrossRef] [PubMed]
  7. J. A. Weinman, S. T. Shipley, “Effects of multiple scattering on laser pulses transmitted through clouds,” J. Geophys. Res. 26, 7123–7128 (1972). [CrossRef]
  8. A. G. Luchinin, “Some properties of backscattering signal in laser sounding of the upper ocean through a wavy surface,” Izv. Acad. Sci. USSR Atmos. Oceanic Phys. 23, 725–729 (1987).
  9. I. L. Katsev, E. P. Zege, A. S. Prikhach, I. N. Polonsky, “Efficient technique to determine backscattered light power for various atmospheric and ocean sounding and imaging systems,” J. Opt. Soc. Am. A 14, 1338–1346 (1997). [CrossRef]
  10. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978).
  11. R. E. Walker, Marine Light Field Statistics (Wiley, New York, 1994).
  12. R. F. Lutomirski, A. P. Ciervo, G. J. Hall, “Moments of multiple scattering,” Appl. Opt. 34, 7125–7136 (1995). [CrossRef] [PubMed]
  13. L. B. Stotts, “Closed form expression for optical pulse broadening in multiple-scattering media,” Appl. Opt. 17, 504–505 (1978). [CrossRef] [PubMed]
  14. J. Tessendorf, “Radiative transfer as a sum over paths,” Phys. Rev. A 35(2), 872–878 (1987). [CrossRef] [PubMed]
  15. R. Deutsch, Nonlinear Transformations of Random Processes (Prentice-Hall, Englewood Cliffs, N.J., 1962).
  16. C. D. Mobley, Light and Water (Academic, New York, 1994).
  17. T. J. Petzold, Volume Scattering Functions for Selected Ocean Waters, SIO Ref. 72–78 (Scripps Institution of Oceanography, La Jolla, Calif., 1972).
  18. R. M. Lerner, J. D. Summers, “Monte Carlo description of time- and space-resolved multiple forward scatter in natural water,” Appl. Opt. 21, 861–869 (1982). [CrossRef] [PubMed]

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