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*If you do all of this maybe you could also implement a drawing which shows the divergence and intensity of the different parts of the beam (calculating the divergence of the spill is probably easy for you).

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I will try to find it when I have time, it seems that I have deleted it from my desmos account so I can’t get it immediately.

Can you include that one to calculate the reflector dimensions? You linked it in the gt thread but it’s hard to find in all those posts.

Also, the way I calculated the max spot diameter is by taking the distance from the LED to the closest point on the reflector/lens (which is not equal to the focal point since there is a hole) Then just using similar triangles, LED diameter / distance * 1km = spot diameter. This is essentially the outer edge of the “corona”. Keep in mind I am using the MAX spot diameter, so that means using the diagonal LED diameter, not the side length.

Recoil Reflector: . . Using these equations, it is possible to find: -candela (lux @ 1m) -throw (ANSI to .25 lux) -lumens in spot -lumens in spill (for standard reflectors only) -total lumens OTF -max beam divergence (half-angle) . What you need to input: -led intensity in cd/mm^2 -led lumens -led die diameter (if square, multiply by 1.41 (root 2)) -dimensions and focal length of the lens/reflector -wavien collar (yes or no option) -number and thickness of arms (for recoil reflector only): For example, this light here has 3 “arms”: The arms are what hold the center light source in place. I would guess that these are ~3mm thick.

Gaussianbeam divergence calculator

That will be really difficult, more of a job for an advanced ray tracing program If you want to estimate stuff like that I suggest using this free software here: * OpticalRayTracer Home Page

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Ultrasonicbeam divergence calculator

The visual field brightness (B) of the microscope is determined by the following formula in relation to the objective lens magnification (M). The larger the ...

I am testing using the values of the Maxabeam reflector: Diameter: 118mm - 4.65in Small opening: 40mm - 1.58in focal length: 10mm “max focal length”: 94mm - 3.7in reflectivity: 75%

Thanks, I will double check that everything is in mm and add labels for the units. Do you know which one of the three imperial calculators you’re having the issues with?

I don’t see your point? I never wanted you to use the “maximum focal length” for the calulation of the reflector. It is only needed for calculating the size of the actual hotspot in a specific distance.

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sma tested it here (in German). A very high degree of precision is required to get the maximum benefit. So the people who only got 60% benefit simply need to position the collar more carefully.

Beam divergenceformula

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Or are you talking about the problems I had before? I was trying to test the imperial calculator by inputting the measurements (converted from metric) of the Maxabeam reflector. I got a different result. It didn’t look right and the luminous flux values were off compared to the metric version.

Can you include that one to calculate the reflector dimensions? You linked it in the gt thread but it’s hard to find in all those posts.

Curlcalculator

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IMPERIAL CALCULATORS (reflector dimensions are in inches): Aspheric Lens: Lens calculator (imperial) | Desmos Standard Reflector: Reflector calculator (imperial) | Desmos Recoil Reflector: Recoil calculator (imperial) | Desmos

Beam divergenceangle

Ok, that first part is very nice. I hadn’t thought of that. So in my case it wouldn’t be 20mm (only for an ideal point source), but 20mm - sqrt(2 * 1.06mm^2)/2 = 19.25mm

These values can be set by adjusting the sliders or by clicking the number and typing in your value. . NOTE the lumen calculations are based on the lambertian emission pattern of a FLAT or DEDOMED led. Using these calculators for an LED with a dome will yield inaccurate results. . . METRIC CALCULATORS (reflector dimensions are in mm): Aspheric Lens: Lens calculator (metric) | Desmos Standard Reflector: Reflector calculator (metric) | Desmos Recoil Reflector: Recoil calculator (metric) | Desmos

That will be really difficult, more of a job for an advanced ray tracing program If you want to estimate stuff like that I suggest using this free software here: * OpticalRayTracer Home Page

You cannot use lumens=lux/m^2 because the brightness is not uniform, the outer edge of the spot will be much dimmer than the inner part of the spot.

EDIT2: I am having problems with the imperial version. There seems to be some problem with the geometrical part (the orange reflector curve is not touching the Y-axis where the focal point is when using the test numbers above). The lumen values are also too high.

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You cannot use lumens=lux/m^2 because the brightness is not uniform, the outer edge of the spot will be much dimmer than the inner part of the spot.

Beamdiametercalculator

C-mount and CS-mount are medium format screw mount lenses. Unlike board mount lenses, these lenses typically feature variable focus and aperture capabilities.

Angle ofdivergenceformula

I would be interested in how did you arrive at the collar improvement. I remember seeing +25% as a lower-bound sanity test. And 60% as a top result. Your calculator uses 116%…

A parabolic reflector does not have a fixed focal length (is is not a lens). That is why I call it “maximum focal length”. The longest possible distance. Thus, there is also a minimum focal length. It depends on the type of light source used. With an LED it is the horizontal distance between the led and reflector surface (calculated above in post 13). With a bulb (emits light in all directions) it is half of this value, so 10mm.

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I’m just going by what the datasheets of optics manufacturers say. You can take the values from any one of their datasheets and plug them into the calculator and you will get a reflector that is exactly like the one they designed

The BLF GT reflectors measurements might be interesting for some people to play around with: Diameter: 118mm center hole diameter: 20.1mm Max focal length: 11.5cm Reflectivity: 90% Cree XHP-35 HI diagonal: 2.9mm (2.5mm side length)

Also, the way I calculated the max spot diameter is by taking the distance from the LED to the closest point on the reflector/lens (which is not equal to the focal point since there is a hole) Then just using similar triangles, LED diameter / distance * 1km = spot diameter. This is essentially the outer edge of the “corona”. Keep in mind I am using the MAX spot diameter, so that means using the diagonal LED diameter, not the side length.

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Laserbeam divergenceand spot size

I would be interested in how did you arrive at the collar improvement. I remember seeing +25% as a lower-bound sanity test. And 60% as a top result. Your calculator uses 116%…

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Ok, that first part is very nice. I hadn’t thought of that. So in my case it wouldn’t be 20mm (only for an ideal point source), but 20mm - sqrt(2 * 1.06mm^2)/2 = 19.25mm

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It will take a lot more calculations to find the true hotspot, because I need to figure out exactly where the projected images of the LED are overlapping the most, at the same time taht the images are changing in shape, and also moving away from the center of the spot. I’ll have to spend some time thinking about that one and see if I can find an equation that isn’t just brute-forcing the answer.