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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 38, Iss. 12 — Apr. 20, 1999
  • pp: 2384–2397

Lidar equations for turbid media with pulse stretching

Ronald E. Walker and John W. McLean  »View Author Affiliations


Applied Optics, Vol. 38, Issue 12, pp. 2384-2397 (1999)
http://dx.doi.org/10.1364/AO.38.002384


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Abstract

Lidar equations for a system with multiple-scattering beam spreading and pulse stretching are developed from an analytical model for the beam spread function. The resulting lidar equations are transparent to the physics and with some simple approximations for system transfer functions become mathematically simple engineering models for system studies. Application to and comparison with a variety of lidar applications in ocean environments (turbidity and bathymetry) and clouds (aerosol scattering) are presented. These examples provide model validation. The lidar model developed represents a significant extension beyond historical lidar models that exclude pulse stretching. Their mathematical simplicity should foster use in a broader class of problems involving light propagation in turbid media.

© 1999 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
(280.3640) Remote sensing and sensors : Lidar
(290.7050) Scattering : Turbid media

History
Original Manuscript: August 17, 1998
Revised Manuscript: January 4, 1999
Published: April 20, 1999

Citation
Ronald E. Walker and John W. McLean, "Lidar equations for turbid media with pulse stretching," Appl. Opt. 38, 2384-2397 (1999)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-38-12-2384


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References

  1. R. M. Measures, Laser Remote Sensing: Fundamentals and Applications (Krieger, Malabar, Fla., 1992).
  2. V. I. Feigels, Y. I. Kopilevich, eds., Laser Remote Sensing in Natural Water: From Theory to Practice, Proc. SPIE2964 (1996).
  3. L. R. Bissonnette, P. Bruscaglioni, A. Ismalli, G. Zaccanti, A. Cohen, Y. Benayahu, M. Kleinman, S. Egert, P. Schwendimann, A. V. Starkov, M. Noormohammadian, U. G. Oppel, D. M. Winker, E. P. Zege, I. L. Katsev, I. N. Polonsky, “LIDAR multiple scattering from clouds,” Appl. Phys. B 60, 355–362 (1995). [CrossRef]
  4. D. Arnush, “Underwater light-beam propagation in the small-angle approximation,” J. Opt. Soc. Am. 62, 1109–1111 (1972). [CrossRef]
  5. 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]
  6. Y. I. Kopilevich, V. I. Feigels, “Theoretical model for backscattered pulse kinetics and interpretation of some anomalies in lidar remote sensing data,” in Ocean Optics XII, J. S. Jaffe, ed., Proc. SPIE2258, 458–471 (1994). [CrossRef]
  7. A. Ishimaru, Wave Propagation and Scattering in a Random Media (Academic, N.Y., 1978).
  8. R. E. Walker, Marine Light Field Statistics (Wiley, N.Y., 1994).
  9. A. G. Luchinin, “Some properties of the backscattered signal in laser sounding of the upper ocean through a wavy surface,” Izv. Acad. Sci. Atmos. Oceanic Phys. 23, 725–729 (1987).
  10. T. V. Kondranin, D. V. Yurin, “Effect of waves and the aperture characteristics of a lidar on the statistical properties of the backscatter signal in laser sounding of the upper sea layer,” Izv. Acad. Sci. Atmos. Oceanic Phys. 27, 453–461 (1973).
  11. G. W. Kattawar, G. N. Plass, “Time of flight lidar measurements as an ocean probe,” Appl. Opt. 11, 662–666 (1972). [CrossRef] [PubMed]
  12. H. R. Gordon, “Interpretation of airborne oceanic lidar: effects of multiple scattering,” Appl. Opt. 21, 2996–3001 (1982). [CrossRef] [PubMed]
  13. J. W. McLean, J. D. Freeman, R. E. Walker, “Beam spread function with time dispersion,” Appl. Opt. 37, 4701–4711 (1998). [CrossRef]
  14. D. B. Rogozkin, “Propagation of light pulse in a medium with strongly anisotropic scattering,” Izv. Acad. Sci. Atmos. Oceanic Phys. 23, 275–281 (1987).
  15. J. A. Weinman, S. T. Shipley, “Effects of multiple scattering on laser pulses transmitted through clouds,” J. Geophys. Res. 26, 7123–7128 (1972). [CrossRef]
  16. 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]
  17. B. D. Joelson, G. W. Kattawar, H. C. van de Hulst, “Multiple scattering metamorphosis of a non-Gaussian single-scatter phase function,” in Ocean Optics XII, J. S. Jaffe, ed., Proc. SPIE2258, 234–246 (1994). [CrossRef]
  18. E. P. Zege, I. L. Katsev, I. N. Polonsky, “Analytical solution to LIDAR return signals from clouds with regard to multiple scattering,” Appl. Phys. B 60, 345–353 (1995). [CrossRef]
  19. Y. I. Kopilevich, V. I. Feigels, “Characteristics of light backscattered by sea water and lidar sounding of water column,” in Underwater Light Measurements, H. C. Eilertsen, ed., Proc. SPIE2048, 85–94 (1994). [CrossRef]
  20. R. A. Maffione, R. C. Honey, “Instrument for measuring the volume scattering function in the backward direction,” in Ocean Optics XI, G. Gilbert, ed., Proc. SPIE1750, 15–26 (1992). [CrossRef]
  21. V. I. Feigels, Yu. I. Kopilevich, “Applicability of lidar remote sensing methods for vertical structure investigation of ocean optic properties distribution,” in Ocean Optics XII, J. S. Jaffe, ed., Proc. SPIE2258, 449–457 (1994). [CrossRef]
  22. R. F. Lutomirski, A. P. Ciervo, G. J. Hall, “Moments of multiple scattering,” Appl. Opt. 34, 7125–7136 (1995). [CrossRef] [PubMed]
  23. N. G. Jerlov, Marine Optics (Elsevier, Amsterdam, 1976).
  24. B. Billard, “Remote sensing of scattering coefficient for airborne laser hydrography,” Appl. Opt. 25, 2099–2108 (1986). [CrossRef] [PubMed]
  25. R. H. Abbot, D. W. Lane, M. J. Sinclair, T. A. Spurling, “Lasers chart the waters of Australia’s Great Barrier Reef,” in Laser Remote Sensing of Natural Waters: From Theory to Practice, V. I. Feigels, Y. I. Kopilevich, ed., Proc. SPIE2964, 72–90 (1996).
  26. O. Steinvall, K. Koppari, U. Karsson, “Airborne laser depth sounding. System aspects and performance,” in Ocean Optics XII, J. S. Jaffe, ed., Proc. SPIE2258, 392–412 (1994). [CrossRef]
  27. O. Steinvall, K. Koppari, “Depth sounding lidar—an overview of Swedish activities and future prospects,” in Laser Remote Sensing of Natural Waters: From Theory to Practice, V. I. Feigels, Y. I. Kopilevich, ed., Proc. SPIE2964, 2–25 (1996).
  28. J. H. Smart, K. H. Kwon, “Comparison between in situ and remote sensing estimates of diffuse attenuation profiles,” in Laser Remote Sensing of Natural Waters: From Theory to Practice, V. I. Feigels, Y. I. Kopilevich, ed., Proc. SPIE2964, 100–109 (1996).
  29. G. D. Gilbert, M. H. North, “Studies of optical ringing in sea water,” in Ocean Optics XII, J. S. Jaffe, ed., Proc. SPIE2258, 472–479 (1994). [CrossRef]
  30. C. D. Mobley, Light and Water (Academic, N.Y., 1994).
  31. L. R. Bissonnette, “Multiple scattering of narrow light beams in aerosols,” Appl. Phys. B 60, 315–323 (1995). [CrossRef]
  32. G. D. Hickman, J. E. Hogg, “Application of an airborne pulsed laser for near-shore bathymetric measurements,” Remote Sens. Environ. 1, 47–58 (1969). [CrossRef]
  33. G. C. Guenther, R. W. L. Thomas, P. E. LaRaocque, “Design considerations for achieving high accuracy with the SHOALS bathymetric lidar system,” in Laser Remote Sensing of Natural Waters: From Theory to Practice, V. I. Feigels, Y. I. Kopilevich, ed., Proc. SPIE2964, 54–71 (1996).
  34. W. J. Lillycrop, L. E. Parson, J. L. Irish, “Development and operation of the SHOALS airborne hydrographic survey system,” in Laser Remote Sensing of Natural Waters: From Theory to Practice, V. I. Feigels, Y. I. Kopilevich, ed., Proc. SPIE2964, 26–37 (1996).
  35. A. Papoulis, Signal Analysis (McGraw-Hill, New York, 1977).
  36. H. Krumboltz, “Experimental investigation of system attenuation coefficient for HALS,” (Naval Air Development Center, Warminster, Pa., 1979).

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