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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 35, Iss. 36 — Dec. 20, 1996
  • pp: 7151–7164

Multiple scattering from Chebyshev particles: Monte Carlo simulations for backscattering in lidar geometry

A. Mannoni, C. Flesia, P. Bruscaglioni, and A. Ismaelli  »View Author Affiliations


Applied Optics, Vol. 35, Issue 36, pp. 7151-7164 (1996)
http://dx.doi.org/10.1364/AO.35.007151


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Abstract

Lidar measurements are often interpreted on the basis of two fundamental assumptions: absence of multiple scattering and sphericity of the particles that make up the diffusing medium. There are situations in which neither holds true. We focus our interest on multiply-scattered returns from homogeneous layers of monodisperse, randomly oriented, axisymmetric nonspherical particles. T2 Chebyshev particles have been chosen and their single-scattering properties have been reviewed. A Monte Carlo procedure has been employed to calculate the backscattered signal for several fields of view. Comparisons with the case of scattering from equivalent (equal-volume) spheres have been carried out (narrow polydispersions have been used to smooth the phase functions’ oscillations). Our numerical effort highlights a considerable variability in the intensity of the multiply-scattered signal, which is a consequence of the strong dependence of the backscattering cross section on deformation of the particles. Even more striking effects have been noted for depolarization; peculiar behavior was observed at moderate optical depths when particles characterized by a large backscattering depolarization ratio were employed in our simulations. The sensitivity of depolarization to even small departures from sphericity, in spite of random orientation of the particles, has been confirmed. The results obtained with the Monte Carlo codes have been successfully checked with an analytical formula for double scattering.

© 1996 Optical Society of America

History
Original Manuscript: July 26, 1995
Revised Manuscript: April 30, 1996
Published: December 20, 1996

Citation
A. Mannoni, C. Flesia, P. Bruscaglioni, and A. Ismaelli, "Multiple scattering from Chebyshev particles: Monte Carlo simulations for backscattering in lidar geometry," Appl. Opt. 35, 7151-7164 (1996)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-35-36-7151


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References

  1. J. D. Klett, “Stable analytical inversion solution for processing lidar returns,” Appl. Opt. 20, 211–220 (1981).
  2. J. D. Klett, “Lidar inversion with variable backscatter/extinction ratio,” Appl. Opt. 24, 1638–1643 (1985).
  3. L. R. Bissonnette, “Sensitivity analysis of lidar inversion algorithms,” Appl. Opt. 25, 2122–2125 (1986).
  4. D. C. Woods, “Examples of realistic aerosol particles collected in a cascade impactor,” in Light Scattering by Irregularly Shaped Particles, D. W. Schuerman, ed. (Plenum, New York, 1980).
  5. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, New York, 1983).
  6. C. F. Bohren, S. B. Singham, “Backscattering by non-spherical particles: a review of methods and suggested new approaches,” J. Geophys. Res. 96, 5269–5277 (1991).
  7. K. Sassen, “The polarization lidar technique for cloud research: a review and current assessment,” Bull. Am. Meteorol. Soc. 72, 1848–1866 (1991).
  8. M. I. Mishchenko, J. W. Hovenier, “Depolarization of light backscattered by randomly oriented nonspherical particles,” Opt. Lett. 20, 1356–1358 (1995).
  9. R. J. Allen, C. M. R. Platt, “Lidar for multiple backscattering and depolarization observation,” Appl. Opt. 16, 3193–3199 (1977).
  10. S. R. Pal, A. I. Carswell, “Polarization anisotropy in lidar multiple scattering from atmospheric clouds,” Appl. Opt. 24, 3464–3471 (1985).
  11. C. Werner, J. Streicher, H. Herrmann, H.-G. Dahn, “Multiple-scattering lidar experiments,” Opt. Eng. 31, 1731–1745 (1992).
  12. L. R. Bissonnette, D. L. Hutt, “Multiply scattered aerosol lidar returns: inversion method and comparison with in situ measurements,” Appl. Opt. 34, 6959–6975 (1995).
  13. C. Flesia, P. Schwendimann, “Analytical multiple-scattering extension of the Mie theory: the LIDAR equation,” Appl. Phys. B 60, 331–334 (1995).
  14. 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).
  15. P. Bruscaglioni, A. Ismaelli, G. Zaccanti, “Monte-Carlo calculations of LIDAR returns: procedure and results,” Appl. Phys. B 60, 325–329 (1995).
  16. A. V. Starkov, M. Noormohammadian, U. G. Oppel, “A stochastic model for a variance-reduction Monte-Carlo method for the calculation of light transport,” Appl. Phys. B 60, 335–340 (1995).
  17. D. M. Winker, L. R. Poole, “Monte-Carlo calculations of cloud returns for ground-based and space-based LIDARS,” Appl. Phys. B 60, 341–344 (1995).
  18. A. Mugnai, W. J. Wiscombe, “Scattering from nonspherical Chebyshev particles. 1: Cross sections, single-scattering albedo, asymmetry factor, and backscattered fraction,” Appl. Opt. 25, 1235–1244 (1986).
  19. W. J. Wiscombe, A. Mugnai, “Scattering from nonspherical Chebyshev particles. 2: Means of angular scattering patterns,” Appl. Opt. 27, 2405–2421 (1988).
  20. A. Mugnai, W. J. Wiscombe, “Scattering from nonspherical Chebyshev particles. 3: Variability in angular scattering patterns,” Appl. Opt. 28, 3061–3073 (1989).
  21. W. J. Wiscombe, A. Mugnai, “Single scattering from non-spherical Chebyshev particles: a compendium of calculations,” (NASA Goddard Space Flight Center, Greenbelt, Md., 1986).
  22. P. C. Waterman, “Matrix formulation for electromagnetic scattering,” Proc. IEEE 53, 805–812 (1965).
  23. P. C. Waterman, “Symmetry, unitarity and geometry in electromagnetic scattering,” Phys. Rev. D 3, 825–839 (1971).
  24. P. Barber, C. Yeh, “Scattering of electromagnetic waves by arbitrarily shaped dielectric particles,” Appl. Opt. 14, 2864–2872 (1975).
  25. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978).
  26. D. Deirmendjian, Electromagnetic Scattering on Spherical Polydispersions (Elsevier, New York, 1968).
  27. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
  28. S. Asano, G. Yamamoto, “Light scattering by a spheroidal particle,” Appl. Opt. 14, 29–49 (1975).
  29. P. Barber, S. C. Hill, Light Scattering by Particles: Computational Methods (World Scientific, Singapore, 1990).
  30. P. Bruscaglioni, G. Zaccanti, “Multiple scattering in dense media,” in Scattering in Volumes and Surfaces, M. Nieto-Vesperinas, J. C. Dainty, eds. (Elsevier, New York, 1990).
  31. P. Bruscaglioni, A. Ismaelli, G. Zaccanti, “Simple scaling relationships for calculation of lidar returns from turbid media in multiple scattering regime,” J. Mod. Opt. 39, 1003–1015 (1992).
  32. P. Bruscaglioni, “On the contribution of double scattering to the lidar returns from clouds,” Opt. Commun. 27, 9–12 (1978).

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