The documentation for RADIANCE Visual Comfort Calculation
(http://radsite.lbl.gov/radiance/refer/Notes/glare.html) states:

 

The Guth position index is used by this formula as well, and its calculation
is described in [Levin75].

 

This is true for  IESNA Visual Comfort Probability (VCP) calculations, but
it is *not* true for CIE UGR calculations. Quoting from CIE 117-1995,
"Discomfort Glare in Interior Lighting," Section 4.5:  "The position index
is found by interpolating the data of Table 4.1 [Table of position
indices]."

 

The equation of Levin, R. E. 1975, "Position Index in VCP Calculations,"
Journal of the IES, pp. 99-105, is based on:

 

Committee on Recommendations of Quality and Quantity of Illumination of the
IES, "Outline of a Standard Procedure for Computing Visual Comfort Ratings
for Interior Lighting, Report No. 2 (1966), Illuminating Engineering, Vol.
61, No. 10, October 1966, p. 643.

 

which shows a plot of the Guth position index.

 

As noted by Levin, "The maximum difference between the basic Guth plot and
Equation (6) is about 12 percent." An error plot shows that errors in excess
of 5 percent occur over most of the range of the Guth position plot.

 

This issue aside, the RADIANCE documentation states:
 
If a single view direction is selected, findglare samples uniformly on the
projected hemisphere.

 

Unfortunately, CIE 117-1995, Section 4.5, states: "It is recommended that
luminaires with T/R values outside the range of the table (0 to 3) be
ignored. It is further noted that some positions in the table at large H/R
values are void. These correspond to positions hidden from observers by
eyebrows and foreheads, and accordingly to luminaires which do not add to
the UGR."

 

The entries of Table 4.1 define an elliptical field of view measuring
approximately 62 degrees vertical by 73 degrees horizontal.

 

The problem is that by ignoring the shielding effect of eyebrows and
forehead in the Guth position index (which regrettably assumes a Caucasian
physiognomy), the UGR values for narrow-beam luminaires with small luminous
areas seen at high viewing angles can be grossly overestimated. In one
study, the difference was 23 versus 14.

 

Such errors typically occur within a range of less than 30 cm [12 inches]
for the observer position, but it remains that findglare does not appear to
be in full compliance with the requirements and recommendations of CIE
117-1995. To do so would require replacing the Levin analytic equation with
an interpolation of the Guth position indices table published therein.

 

(This analysis is based on the above-referenced Visual Comfort Calculation
document, dated 1992. I have not examined the current source code for
findglare to see whether it still applies.)

 

Ian Ashdown, P. Eng., FIES

President

byHeart Consultants Limited

http://www.helios32.com <http://www.helios32.com/> 

 

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