GrowLightResearch
Well-Known Member
This is true.So measurements extremely close to the light can also show a hint of "inverse square".
This is false.because then the reflection isn't countering the effect yet.
It's because of the five times rule. Do you understand why there is a five times rule?
What were the dimensions of the fixture?
For ISL to work well at 5", the fixture cannot be more than 1" corner to corner.
If you supply me with the size of the fixture, the number of and orientation of the LEDs I can calculate the results you measured.
This five times rule is the problem I was working on ≈18 months ago, August 18, 2016.
It was a small 12" strip with 16 LEDs measured from 200 mm down to 100 mm in 20 mm increments.
What I did was calculate ISL for each individual LED as 16 light sources and summed the16 intensities at each distance (height).
The results were nearly perfect given the setup required for accuracy with such small distances.
ISL worked perfectly for both measured and calculated values.
Point Source Approximation
The inverse square law can only be used in cases where the light source approximates a point source. A general rule of thumb to use for irradiance measurements is the “five times rule”: the distance to a light source should be greater than five times the largest dimension of the source. For a clear enveloped lamp, this may be the length of the filament. For a frosted light bulb, the diameter is the largest dimension. Figure 6.2 below shows the relationship between irradiance and the ratio of distance to source radius. Note that for a distance 10 times the source radius (5 times the diameter), the error from using the inverse square is exactly 1 %, hence the “five times” approximation.
-International Light Technologies, https://www.intl-lighttech.com/basic-light-measurement-principles-chapter-6-light-measurement-tutorial
https://www.intl-lighttech.com/basic-light-measurement-principles-chapter-6-light-measurement-tutorial
Also, ISL is for isotropic approximate point light sources. The inverse square law can only be used in cases where the light source approximates a point source. A general rule of thumb to use for irradiance measurements is the “five times rule”: the distance to a light source should be greater than five times the largest dimension of the source. For a clear enveloped lamp, this may be the length of the filament. For a frosted light bulb, the diameter is the largest dimension. Figure 6.2 below shows the relationship between irradiance and the ratio of distance to source radius. Note that for a distance 10 times the source radius (5 times the diameter), the error from using the inverse square is exactly 1 %, hence the “five times” approximation.
-International Light Technologies, https://www.intl-lighttech.com/basic-light-measurement-principles-chapter-6-light-measurement-tutorial
https://www.intl-lighttech.com/basic-light-measurement-principles-chapter-6-light-measurement-tutorial
LEDs light distribution does not radiate the same intensity in all angles as a light bulb does.
Therefore the calculations must take the angle of the light light source with respect to the sensor and the distance of the light light source to the sensor.
At a height of 5" with a 48" strip with the sensor located below the center LED, the angle of LED to sensor and the last LED on the end of the strip is 78° and the distance 24.52".
At that angle and distance the ISL for the center LED with a 0° angle and distance of 5" only the center LED will follow ISL.
A Samsung 561C LED has a relative intensity of 17% at 78°.
By ISL, the intensity at 24.53" is 4.16% of the intensity at 5".