This set of experiments was suggested to simulate the radiative transfer regime under conservative scattering conditions for heterogeneous environments.
These scenes - which are structurally identical to those used for the discrete floating spheres test cases in the solar domain - are composed of a large number of non overlapping spherical objects representing the individual plant crowns, located over and only partially covering a horizontal plane standing for the underlying soil surface.
These objects, in turn, contained randomly distributed finite size disc-shaped scatterers characterized by conservative radiative properties (reflectance=0.5, transmittance=0.5), and the orientation of the normals to the scatterers followed exclusively a uniform distribution function. The radiative properties of the underlying soil were also specified (in this case a simple Lambertian scattering law) with the surface albedo being unity. To address the needs of different RT models, we are providing both a statistical scene description, as well as, a file with the exact coordinates of every leaf in one of the spherical volumes. Please make use of this information as suits the needs of your particular model.
The architecture of this scene (HET01) is precisely characterized as follows:
|( X × Y × Z)||100.0 × 100.0 × 30.0 [m × m × m]|
|(Xmin, Ymin, Zmin)||−50.0, −50.0, 0.0 [m, m, m]|
|(Xmin, Ymax, Zmin)||−50.0, +50.0, 0.0 [m, m, m]|
|(Xmax, Ymin, Zmin)||+50.0, −50.0, 0.0 [m, m, m]|
|(Xmax, Ymax, Zmin)||+50.0, +50.0, 0.0 [m, m, m]|
|(Xmin, Ymin, Zmax)||−50.0, −50.0, 30.0 [m, m, m]|
|(Xmin, Ymax, Zmax)||−50.0, +50.0, 30.0 [m, m, m]|
|(Xmax, Ymin, Zmax)||+50.0, −50.0, 30.0 [m, m, m]|
|(Xmax, Ymax, Zmax)||+50.0, +50.0, 30.0 [m, m, m]|
|Scatterer shape||Disc of negligible thickness|
|Scatterer radius||0.1 [m]|
|LAI of individual sphere||5.0|
|Scatterer normal distribution||Uniform|
|Number of spheres||15|
|Fractional scene area coverage of spheres||0.471|
|Sphere radius||10.0 [m]|
|Minimum sphere center height||11.0 [m]|
|Maximum sphere center height||19.0 [m]|
where the Leaf Area Index (LAI) is calculated as follows:
LAI = (# of leaves × one-sided area of single leaf) ⁄ (π × square of the radius of sphere)
An ASCII file with the radius (R), centre coordinates (Xc,Yc,Zc), and direction cosines (Dx,Dy,Dz) of every single leaf in a spherical volumes centered at 0,0,0 can be found here. This file (is ~ 2.2 Mbytes and) contains 49999 lines of format R Xc Yc Zc Dx Dy Dz and may serve as input to your scene creation process (provided that you are able to create multiple instances of its content, each one of which is then translated to the actual locations of the sphere centers in the scene. The coordinates (X, Y, Z) of the various sphere centers are as follows:
|−24.8302; 11.6110; 15.6210||−38.3380; −9.06342; 17.6094||−31.3562; 32.5297; 14.3051|
|11.9126; 8.32062; 12.1220||39.4855; 37.1247; 16.3647||−8.30999; −4.39422; 14.4241|
|12.2769; −25.1402; 12.4492||32.4756; −26.9023; 16.3684||−7.46991; −32.2138; 12.6678|
|−27.4794; −32.0266; 15.9146||33.5709; −6.31039; 14.5332||−5.24326; 39.8405; 16.8247|
|18.1699; 35.8223; 11.5683||−5.26569; 18.9618; 17.2535||37.8226; 14.6769; 11.5936|
The underlying soil is occupying the entire lower surface of the scene, i.e., the area enclosed between the following coordinates: (−50.0, −50.0, 0.0), (−50.0, +50.0, 0.0), (+50.0, −50.0, 0.0), and (+50.0, +50.0, 0.0), where all values are in meters.
The tables below provide the details required to execute each of the experiments in this category. Every table is preceeded by the corresponding experiment identifier tag
Please follow the links below to find further information relating to the results derived from RT simulations of structurally heterogeneous ``floating spheres'' environments under conservative scattering conditions for discrete representation of the individual scatterers.