How to measure Colour
Joachim Köppen Strasbourg March 2010
Light is composed of electromagnetic waves of different wavelengths: The visible
ranges from about 450 nm wavelength (which we perceive as violet) to about 700 nm
(which we see as red light). The image below gives an impression of how the
normally-sighted human perceives the radaition of the various wavelengths.
When we perceive the colour of an object, our visual system besically compares
the contributions of light of different wavelength. If the longer wavelengths
dominate, the object has a redder colour. In the same way we can build an instrument
which measures colour:
We use a photometer to measure the light intensity
either without or with a colour filter placed in front of the sensor. Suppose this
filter is a red filter. When we shine white light on the photometer, we shall get
two readings of the resistance of the photoresistor:
Now let us repeat the measurements with red light, such as by placing a filter of red
plastic foil in front of our light source. Then the light will no longer contain the
blue spectral part, and therefore the two measurements will give almost the same
values, or the ratio R_red/R_white will go down, near to 1.0.
If we perform the experiment with green or blue light, the photometer without red
filter will receive all the light available, but with the red filter it will receive
much less, so the ratio R_red/R_white goes up!
In this fashion, the ratio R_red/R_white of the resistances is a measure of
the redness or blueness of the light!
Instead of doing measurements by placing a colour filter in front of a single
photometer, we can use two photosensors, placed side-by-side, and shown below.
The two tubes of black cardboard serve as collimators, so that the sensors
can be pointed towards an object to analyse its light, without confusion
from light coming from other directions.
The choice of the colour filter(s) determines the quality of the measurements.
Ideally, a filter should have a sharp transition between passing through light
in one range and blocking it in the other. You can easily look at the filter
characteristics using the CDROM spectroscope.
The following images show what spectral regions a red, green, and blue filter let
pass through (below) from the white light (above):
We may use the same photosensor, but use several different filters. For example,
I used my experimental LDR Photometer making many observations of
various light sources and the sky above Kiel under a great
variety of conditions. Here are some of the original data.
The readings were done through various filters:
In the table below, all resistances are given in kOhm.
The following table shows more mesurements, but here all columns show already
the ratio of the measured resistance and the 'white' resistance. Also, they
have been arranged in order of increasing R_red/R_white. Note that the
description in the first column gives simply my own impression.
One can already see from the table, that the bluer the sky, the larger is
the ratio R_red/R_white. This is very clear with the red gelatine filter
(ERed), but also the poor red filter (Red) shows the same behaviour.
Neither the blue nor the green filter shows an equally clear trend.
For a measurement of the blueness of the sky, it would suffice to
use only two photometers, one without a filter and the other with a good red
filter. If we use an additional blue channel, we are able to discriminate
between the colours in a more precise way:
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last update: March 2010 J.Köppen
The values will not be equal, because the red filter takes out the blue part of the
light, and therefore R_red > R_white, so the ratio R_red/R_white will
be larger than one.
Source White ERed EGreen EBlue
Red Yellow Blue darkBlue IR
Tungsten Lamp 1.1 1.9 23.5 4.4
1.6 1.4 2.1 33.8 9.0
Fluorescent Lamp 16.9 42.8 400 900
28 23 60 630 4000
direct Sun 0.016 0.030 0.122 0.60
0.023 0.020 0.026 0.127 0.120
morning Sky 3.7 14.2 44.0 40.5
7.9 5.7 8.0 30.0 90.5
Snow 1.0 2.7 12 7
1.8 1.47 2.16 11.8 17.7
Dawn 13.0 44 165 135
26 19 28 129 310
blue Sky 2.4 11.3 28 30
5.5 3.9 5.2 18.2 75
Source White ERed EGreen EBlue
Red Yellow Blue darkBlue IR
Tungsten Bulb 1 1.6 20 3.9
1.4 1.2 1.8 30 7.9
direct Sun 1 1.8 9.0 3.8
1.4 1.2 1.7 10.5 7.4
rosy Sky 1 2.1 13.6 5.9
1.6 1.3 1.9 13 11
Fluorescent Lamp 1 2.7 24 53
1.6 1.4 3.6 37 240
grey Sky 1 2.8 14.6 7.4
1.8 1.5 2.2 12.7 --
white Sky 1 2.9 15 7.8
1.8 1.5 2.3 12.7 --
Snow 1 3.3 16 9.6
2.2 1.7 2.4 14.5 --
blue Sky 1 3.5 12.6 10
2.1 1.6 2.2 9.3 23.5
light blue Sky 1 3.7 14 9.3
2.1 1.6 2.1 8.9 --
dawn Sky 1 3.7 13.5 11
2.2 1.6 2.2 10 25
deep blue Sky 1 4.3 13.5 10.4
2.3 1.7 2.1 7.7 --
dark blue Sky 1 4.6 14.5 10
2.4 1.7 2.1 8.2 --