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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 32, Iss. 33 — Nov. 20, 1993
  • pp: 6789–6803

Lidar multiple scattering: improvement of Bissonnette's paraxial approximation

Matthias Wiegner and Georg Echle  »View Author Affiliations


Applied Optics, Vol. 32, Issue 33, pp. 6789-6803 (1993)
http://dx.doi.org/10.1364/AO.32.006789


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Abstract

It is generally accepted that multiple scattering is important for evaluating backscatter lidar signals in the case of moderate or high optical depths and large receiver fields of view. On one hand, multiple scattering must be considered in inverting signals to obtain backscatter coefficients; on the other hand, it offers the opportunity to derive microphysical parameters of the scattering medium. Bissonnette developed a numerical code for the propagation of a continuous-wave laser beam through an atmosphere including multiple scattering. His model is also applicable to a backscatter lidar approximatively. In this paper we investigate if the assumptions on which his backscatter lidar application is based are valid for typical atmospheric situations. It is found that for small and moderate optical depths, a prerequisite for the backscatter lidar application is fulfilled: second-order iterations of the solution to the radiative transfer equation can indeed be neglected as proposed by Bissonnette. Furthermore, we propose an improvement of the simulation for limited fields of view that significantly alters the radial dependences of the backscattered signals. Essentially, on-axis backscattered signals are increased and the profiles tend to be somewhat narrower near the optical axis. The dependence of the radiative distribution on the phase function of the scattering medium, the optical depth, and on the field of view of the receiver is also changed. The modifications only slightly increase the computer time. Examples for typical atmospheric situations are shown, and proposals for intercomparisons with other models and measurements are made.

© 1993 Optical Society of America

History
Original Manuscript: September 17, 1992
Published: November 20, 1993

Citation
Matthias Wiegner and Georg Echle, "Lidar multiple scattering: improvement of Bissonnette's paraxial approximation," Appl. Opt. 32, 6789-6803 (1993)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-32-33-6789


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References

  1. R. J. Allen, C. M. R. Platt, “Lidar for multiple backscattering and depolarization observations,” Appl. Opt. 16, 3193–3199 (1977). [CrossRef] [PubMed]
  2. S. R. Pal, A. I. Carswell, “Polarization anisotropy in lidar multiple scattering from atmospheric clouds,” Appl. Opt. 24, 3464–3471 (1985). [CrossRef] [PubMed]
  3. L. R. Bissonnette, D. L. Hutt, “Multiple scattering lidar,” Appl. Opt. 29, 5045–5046 (1990). [CrossRef] [PubMed]
  4. C. Werner, P. Hörmann, H. G. Dahn, H. Hermann, “Technical problems with respect to the separation of single and multiple scattering in a monostatic lidar,” presented at the Proceedings of the MUSCLE 4 Workshop (Florence, Italy, 1991).
  5. K. E. Kunkel, J. A. Weinman, “Monte Carlo analysis of multiply scattered lidar returns,” J. Atmos. Sci. 33, 1772–1781 (1976). [CrossRef]
  6. W. Carnuth, R. Reiter, “Cloud extinction profile measurements by lidar using Klett's inversion method,” Appl. Opt. 25, 2899–2907 (1986). [CrossRef] [PubMed]
  7. L. R. Bissonnette, “Multiple scattering technique lidar,” in 16th International Laser Radar Conference, M. P. McCormick, ed., NASA Conf. Publ. 3158 (NASA, Washington, D.C., 1992), pp. 447–450.
  8. H. S. Snyder, W. T. Scott, “Multiple scattering of fast charges particles,” Phys. Rev. 76, 220–225 (1949). [CrossRef]
  9. L. R. Dolin, “Propagation of a narrow beam of light in a medium with strongly anisotropic scattering,” Izv. Vyssh. Uchebn. Zaved. Radiofiz. 9, 40–47 (1966).
  10. D. Arnush, “Underwater light-beam propagation in the small-angle-scattering approximation,” J. Opt. Soc. Am. 62, 1109–1111 (1972). [CrossRef]
  11. R. L. Fante, “Propagation of electromagnetic waves through turbulent plasma using transport theory,” IEEE Trans. Antennas Propag. AP-21, 750–755 (1973). [CrossRef]
  12. L. B. Stotts, “The radiance produced by laser radiation transversing a particulate multiple-scattering medium,” J. Opt. Soc. Am. 67, 815–819 (1977). [CrossRef]
  13. W. G. Tam, A. Zardecki, “Multiple scattering of a laser beam by radiational and advective fogs,” Opt. Acta 26, 659–670 (1979). [CrossRef]
  14. W. G. Tam, “Multiple scattering corrections for atmospheric aerosol extinction measurements,” Appl. Opt. 19, 2090–2092 (1980). [CrossRef] [PubMed]
  15. W. G. Tam, A. Zardecki, “Multiple scattering corrections to the Beer–Lambert law. 1: Open detector,” Appl. Opt. 21, 2405–2412 (1982). [CrossRef] [PubMed]
  16. A. Zardecki, W. G. Tam, “Multiple scattering corrections to the Beer–Lambert law. 2: Detector with a variable field of view,” Appl. Opt. 21, 2413–2420 (1982). [CrossRef] [PubMed]
  17. K. Altmann, “Forward scattering formula of Tam and Zardecki evaluated by use of cubic sections of spherical hypersurfaces,” Appl. Opt. 28, 4077–4087 (1989). [CrossRef] [PubMed]
  18. W. G. Tam, “Aerosol backscattering of a laser beam,” Appl. Opt. 22, 2965–2969 (1983). [CrossRef] [PubMed]
  19. A. Ishimaru, Y. Kuga, R. L. T. Cheung, K. Shimizu, “Scattering and diffusion of a beam wave in randomly distributed scatterers,” J. Opt. Soc. Am. 73, 131–136 (1983). [CrossRef]
  20. W. G. Tam, A. Zardecki, “OfF-axis propagation of a laser beam in low visibility weather conditions,” Appl. Opt. 19, 2822–2827 (1980). [CrossRef] [PubMed]
  21. S. A. W. Gerstl, A. Zardecki, W. P. Unruh, D. M. Stupin, G. H. Stokes, N. E. Elliott, “OfF-axis multiple scattering of a laser beam in turbid media: comparison of theory and experiment,” Appl. Opt. 26, 779–785 (1987). [CrossRef]
  22. L. R. Bissonnette, “Multiscattering model for propagation of narrow light beams in aerosol media,” Appl. Opt. 27, 2478–2484 (1988). [CrossRef] [PubMed]
  23. L. R. Bissonnette, Defence Research Establishment, Valcartier, P.O. Box 8800, Courcelette, Quebec GOA 1R0, Canada (personal communication, 1989).
  24. D. L. Hutt, L. R. Bissonnette, “Multiple scattering lidar returns from stratus clouds,” in 16th International Laser Radar Conference, M. P. McCormick, ed., NASA Conf. Publ. 3158 (NASA, Washington, D.C., 1992), pp. 463–466.
  25. A. J. Heymsfield, C. M. R. Platt, “A parameterization of the particle size spectrum of ice clouds in terms of the ambient temperature and the ice water content,” J. Atmos. Sci. 41, 846–855 (1984). [CrossRef]
  26. M. Hess, M. Wiegner, “Optical properties of hexagonal ice crystals: model calculations,” presented at the ICO Topical Meeting on Atmospheric, Volume and Surface Scattering and Propagation, Florence, Italy, 1991.
  27. R. M. Welch, S. K. Cox, J. M. Davis, “Solar radiation and clouds,” Meteorol. Monogr. 17, 96 (1980).
  28. F. Tampieri, C. Tomasi, “Size distribution models of fog and cloud droplets and their volume extinction coefficients at visible and infrared wavelengths,” Pure Appl. Phys. 114, 571–586 (1976).
  29. L. R. Bissonnette, “Multiple-scattering laser propagation model and comparison with laboratory measurements,” Rep. DREV 4422/86 (Defence Research Establishment, Valcartier, Quebec, Canada, 1986), p. 40.
  30. L. R. Bissonnette, R. B. Smith, A. Utilsky, J. D. Houston, A. I. Carswell, “Transmitted beam profiles, integrated backscatter, and range-resolved backscatter in inhomogeneous laboratory water droplet clouds,” Appl. Opt. 27, 2485–2494 (1988). [CrossRef] [PubMed]

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