get-lit
Flashlight Enthusiast
Surface brightness works in conjunction with optical etendue to produce candlepower and throw:
Relative Candlepower = Relative Intensity x Relative Light Gather x (Relative Optic Focal Length)^2
Relative Throw = sqrt(Relative Intensity) x sqrt(Relative Light Gather) x Relative Optic Focal Length
What is really beginning to ring a bell here for me is that the collar increases luminous intensity while possibly maintaining enough light gather for the trade off to be beneficial to throw just has been suggested; because the same amount of light is gathered through the light paths, albiet with an additional loss due to the reflectance loss of the collar as well as the reflectance loss of the emitter itself. So for example if 50% of the light is captured by the collar and 50% exits the aperture directly, and the collar has a reflectance of 85%, and the emitter has a reflectance of 75%, we retain a total 80% of the light gather:
50% direct aperture light + (50% collar light x (100% - 15% reflectance loss - 25% emitter reflectance loss)) = 80%
or
.5 direct aperture light + (.5 collar light x (1 - .15 reflectance loss - .25 emitter reflectance loss)) = .8
So when replacing a collimating lens with an equivelent diameter collet and smaller diameter collimating lens of matching focal length, we would then have traded 20% light gather for 58% more luminous intensity, resulting in net gains in relative candlepower and throw:
Relative Candlepower = 1.58 x .8 x (Relative Optic Focal Length)^2
Relative Throw Distance = sqrt(1.58) x sqrt(.8) x Relative Optic Focal Length
We would then have a net 26.4% more candlepower and 12.4% more throw!
If the losses could be minimized, these gains could be much more! What I wasn't realizing before is that the light gather of the extra side light is still for the most part retained with the use of the collar, which is what has been throwing me off all along. This is actually very intriguing now. :twothumbs
Relative Candlepower = Relative Intensity x Relative Light Gather x (Relative Optic Focal Length)^2
Relative Throw = sqrt(Relative Intensity) x sqrt(Relative Light Gather) x Relative Optic Focal Length
What is really beginning to ring a bell here for me is that the collar increases luminous intensity while possibly maintaining enough light gather for the trade off to be beneficial to throw just has been suggested; because the same amount of light is gathered through the light paths, albiet with an additional loss due to the reflectance loss of the collar as well as the reflectance loss of the emitter itself. So for example if 50% of the light is captured by the collar and 50% exits the aperture directly, and the collar has a reflectance of 85%, and the emitter has a reflectance of 75%, we retain a total 80% of the light gather:
50% direct aperture light + (50% collar light x (100% - 15% reflectance loss - 25% emitter reflectance loss)) = 80%
or
.5 direct aperture light + (.5 collar light x (1 - .15 reflectance loss - .25 emitter reflectance loss)) = .8
So when replacing a collimating lens with an equivelent diameter collet and smaller diameter collimating lens of matching focal length, we would then have traded 20% light gather for 58% more luminous intensity, resulting in net gains in relative candlepower and throw:
Relative Candlepower = 1.58 x .8 x (Relative Optic Focal Length)^2
Relative Throw Distance = sqrt(1.58) x sqrt(.8) x Relative Optic Focal Length
We would then have a net 26.4% more candlepower and 12.4% more throw!
If the losses could be minimized, these gains could be much more! What I wasn't realizing before is that the light gather of the extra side light is still for the most part retained with the use of the collar, which is what has been throwing me off all along. This is actually very intriguing now. :twothumbs
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