If we consider the light source as a point source then the illuminance at any distance will be:
q= q_0*(d_0/d)^2
where q is illuminance (lux) at distance d (m) and
q_0 (lux) is illuminance at distance d_0 (m)
If you come too close to the light, it is of course not correct to consider it as a point source, but at a certain distance, this model i quite accurate. In this region, you can calculate the illuminance at any distance by just measuring it at one point.
To find out where this formula is accurate for my DBS, I measured the max illuminance at different distances:
By jenskh
The red dots show the measurements. The yellow curve show for each point the calculated illuminance at 1 m distance. This curve show that this calculated flux varies substantially for the measuring points closest to the light. This means that in this region, it is not accurate to consider the light as a point source. At distance above 5- 6 m the calculated illuminance (@1m) seems independent of distance.
This means that to measure an illuminance representative for throw, we need to measure the illuminance at a distance greater than about 5 m from the light. We can then calculate the representative illuminance @1m which for my DBS seems to be about 30400 lux. Some of you may have seen that I earlier have given you a value of 32000 lux. The reason is that I measured it at 3 m and did not make any control at greater distance
Now that we have the representative illuminance @1m, we can calculate the illuminance at any distance. So, then the question is how should we define the throw.
I have earlier used the distance where I get 1 lux (moonlight). For my DBS that will be 174 m. In earlier threads where I have mentioned distances like this as the throw of my DBS, I get the reactions that this throw is far too short. I also agree that I normally can see the light longer than this. Many have mentioned the throw of the DBS to be about twice the distance I got above. If that is a normal perception of the throw distance, may be we should use 1/4 lux as the limit.
I do not know what would be best to use, but we should agree on a number for the limiting illuminance representative of what people perceive as the throw distance.
What do you think?
Regards from
Jens
q= q_0*(d_0/d)^2
where q is illuminance (lux) at distance d (m) and
q_0 (lux) is illuminance at distance d_0 (m)
If you come too close to the light, it is of course not correct to consider it as a point source, but at a certain distance, this model i quite accurate. In this region, you can calculate the illuminance at any distance by just measuring it at one point.
To find out where this formula is accurate for my DBS, I measured the max illuminance at different distances:

By jenskh
The red dots show the measurements. The yellow curve show for each point the calculated illuminance at 1 m distance. This curve show that this calculated flux varies substantially for the measuring points closest to the light. This means that in this region, it is not accurate to consider the light as a point source. At distance above 5- 6 m the calculated illuminance (@1m) seems independent of distance.
This means that to measure an illuminance representative for throw, we need to measure the illuminance at a distance greater than about 5 m from the light. We can then calculate the representative illuminance @1m which for my DBS seems to be about 30400 lux. Some of you may have seen that I earlier have given you a value of 32000 lux. The reason is that I measured it at 3 m and did not make any control at greater distance
Now that we have the representative illuminance @1m, we can calculate the illuminance at any distance. So, then the question is how should we define the throw.
I have earlier used the distance where I get 1 lux (moonlight). For my DBS that will be 174 m. In earlier threads where I have mentioned distances like this as the throw of my DBS, I get the reactions that this throw is far too short. I also agree that I normally can see the light longer than this. Many have mentioned the throw of the DBS to be about twice the distance I got above. If that is a normal perception of the throw distance, may be we should use 1/4 lux as the limit.
I do not know what would be best to use, but we should agree on a number for the limiting illuminance representative of what people perceive as the throw distance.
What do you think?
Regards from
Jens