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Scattering in thick multifractal clouds, Part II: Multiple scattering

Author

Listed:
  • Lovejoy, S.
  • Watson, B.P.
  • Grosdidier, Y.
  • Schertzer, D.

Abstract

In Part I of this paper, we developed asymptotic approximations for single photon scattering in thick, highly heterogeneous, “Log-Lévy” multifractal clouds. In Part II, theoretical multiple scattering predictions are numerically tested using Monte Carlo techniques, which show that, due to long range correlations, the photon paths are “subdiffusive” with the corresponding fractal dimensions tending to increase slowly with mean optical thickness. We develop reasonably accurate statistical relations between N scatter statistics in thick clouds and single scatter statistics in thin clouds. This is explored further using discrete angle radiative transfer (DART) approach in which the radiances decouple into non-interacting families with only four (for 2-D clouds) radiance directions each. Sparse matrix techniques allow for rapid and extremely accurate solutions for the transfer; the accuracy is only limited by the spatial discretization.

Suggested Citation

  • Lovejoy, S. & Watson, B.P. & Grosdidier, Y. & Schertzer, D., 2009. "Scattering in thick multifractal clouds, Part II: Multiple scattering," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(18), pages 3711-3727.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:18:p:3711-3727
    DOI: 10.1016/j.physa.2009.05.037
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