The BTDFs (k = 3, 4) were applied to this problem and the results were compared with the theoretical solution.
The results given in  are reproduced in Table 3 and compared with the results given by BTDFs. It is seen from Table 3 that the BTDFs perform better than the TOM.
This example was chosen in order to test the performance of BTDFs on a BVP with Neumann boundary condition.
The change of the incident angle for BTDF is achieved by rotating the sample, and for BRDF, by simultaneously rotating the sample and changing the trajectory of the incident beam (see Fig.
Second, the matted plate and the optical fiber have close (similar) BTDFs near the zero incident angle.
This data obtained by using the [facade.sup.s]s BTDF data in a method known as Dynamic Radiance (Saxena.
Analytical correlations between many inputs and the ECD value were explored and developed but investigation showed that although the ECD value can be predicted in perfect accuracy using a regression formula for each fa?ade, climate conditions, and the BTDF, the high degree of variation in systems and operation does not permit a single equation to suffice for all CFS.
In order to identify the direct component of the values that make up the BTDF. the CFS sample BTDF is compared to the quantitative behavior of a hole, assumed to be correlated with perfect transmission, as shown in Equation 1.
In the case of the horizontal blinds (1+), the flux in patch 4 is approximately 21 percent of its theoretical value, while in patch 1-3 and 5-9 it is roughly seven to twelve times the theoretical value determined using the BTDF, and in patches 13, 14 and 15, it is 37 to 87 times higher (Fig.
Separate tests at angles where a concentrated direct source beam is completely blocked by the shade, as well as a test where a uniformly luminous hemisphere illuminated the BTDF material, showed excellent agreement across all patches.