Ross Thin Kernel

The Ross-thin kernel is a volume-scattering kernels that models the reflection of surface facets (leaves). It is purely geometric and depends on no additional parameters.

This is one of eight BRDF kernels listed by Spurr in his 2002 paper.

Equation A.18 from Spurr is implemented with the following changes:

  • cos(phi) is replaced with -cos(phi)

  • the reflectance is divided by pi

Example

import sasktranif.sasktranif as skif
import math

brdf = skif.ISKBrdf('ROSS_THIN_KERNEL')
mjd            = 52393.3792987115;
location       = [0.0, 0.0, 25000.0, mjd];
[ok,brdfvalue] = brdf.BRDF( 600.0, location, 0.6, 0.7, -0.8)

References

W. Wanner and A. H. Strahler, “On the derivation of kernels for kernel-driven models of bidirectional reflectance,” Journal of Geophysical Research, vol. 100, no. d10, pp. 21077-21089, Oct. 20, 1995. doi: 10.1029/95JD02371, url: http://onlinelibrary.wiley.com/doi/10.1029/95JD02371/abstract

Robert J. D. Spurr, “A new approach to the retrieval of surface properties from earthshine measurements”, Journal of Quantitative Spectroscopy & Radiative Transfer, vol. 83, pp. 15-46, Oct. 9, 2002. doi:10.1016/S0022-4073(02)00283-2 url: http://www.sciencedirect.com/science/article/pii/S0022407302002832