pab data visualisation

The coordinate system used for self-luminous samples (lamps, LEDs, etc) and for passive reflecting/transmitting samples is basically the same: A standard spherical coordinate system, as shown below.

visualisation of light distribution of lamps and scatter data BSDF

coordinate system

For lamps, LEDs and the like, a direction from the sample is given by two angles ϑ, φ, which defines a standard 3D polar, or spherical coordinate system.

In case of light scattering, the outgoing direction is given by the same two angles: ϑ_out, φ_out . The incident direction is given by ϑ_in, φ_in. The X-axis, to which φ is measured, can be selected and marked on the sample by client.
This coordinate system has been used by us since the first gonio-photometer in 1989 and is compatible to Standard E2387. Additionally, we provide data formatted according to client requirements. For example in the EULUMDAT format for luminescent samples. Other coordinate systems can be used if material properties are more easily described with these (e.g. materials with symmetries).

data format

The standard data format consists of ASCII text files with lines:

Decimal sign is '.' (dot), columns are separated by tabs and line endings are marked with NL-CR. The files should readable by UNIX/Linux and Windows/Mac programs alike. Additional parameters (incident angle, time, place, machine of measurement, detector settings, etc) are given as comments in the datafile. Comment lines start with ASCII symbol # (hash sign).
Custom data formats can be readily supplied (CSV, binary, matrix, etc). Please contact us with your specifications.

With the standard detector, the measured signal is proportional to the incident power on the detector, spectrally weighted by detector response and optional filters. With photo-voltaic detectors (e.g. photo-diodes), the units are typically current or, using the characteristics of the detector element, power. For LEDs, the signal is proportional to the radiant intensity [W/sr] emitted from the LED towards the sensor.
For the BSDF, the signal is then scaled by the incident power onto the sample, resulting in absolute BSDF/BRDF data. Units for the BSDF are [1/sr], as usual (see ASTM2387).
The number of measured points varies between a few hundred and a few hundred thousand points per measurement, depending on the angular resolution. The number of spectral channels depend on the detector configuration.

mountain visualisation

Our proprietary visualisation tools handle complex data effectively and provide a detailed, interactive view of the measured data sets. They serve to get the maximum information out of measurements and thereby form the essential basis for further analysis of material and lamp characteristics. By providing the function of a looking glass, they ensure the quality and consistency of our measurements.
Please check part II for advanced mountain settings.
The example below consisted of 93138 measured points in the hemisphere.

Visualisation BSDF data using other plot programs (e.g. Gnuplot)

Some plot programs handle data in spherical coordinates with difficulty. Furthermore some programs don't handle scattered data, which is data like z=f(x,y) , when the (x,y) datapoints are not on a regular grid.

Nevertheless, most programs can be used to plot BSDF data, as an example, here's an input file for gnuplot: Gnuplot input and PDF result. There are two key elements to handle this: First, the BRDF data is interpolated to a regular (ϑ,φ) grid (by us or by you). Secondly a crude mountain-like plot in a Cartesian coordinate system can be generated by:
x=ϑcos(φ) , y=ϑsin(φ) , z=BSDF

Please find numerous BSDF test data at our sister website.

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