Flashlight Optics - Dome, Dedoming and Throw

I just did a bit of math and I think a XP-E2 would actually beat a XR-E.

XR-E=114 (max brightness at 350 ma)/.81 (area of EZ900 die)=140.7407

XP-E2=142 (max brightness at 350 ma)/1 (area of die)=142

So this means that a XP-E2 has a higher surface brightness than a XR-E.

Would it also beat an xre r2? If so does that mean it would out throw the xre r2?

Well, this shows that the XP-E2 produces more light per mm2. Of course the XP-E2 has a wider viewing angle at 110 degrees v. the 90 of the XR-E. Then you have to take into account the XP-E2's efficiency at higher currents.

You can beat the h*ll out of a XRE (heat&current-wise that is ) without destroying it, this remains to be seen with the XPE2. In other words: what does it do at 2 Amps instead of 350mA.

Excellent post, thank you very much Dr.Jones!

Thats an effective write up! Thanks, you made leds and even etendue much more clear to me.

Thanks much for this. Great write-up!

Very Good Info.

thanks for the article, very educational. i learned a lot.

i have a question. according to your explanation, d=sqrt(I/E0)=sqrt(L*A/E0)=sqrt(L*pi*0.9 / 4*E0)D = ~ 8200 D,

throw distance is directly proportional to reflector diameter. so what is the purpose of deep reflectors such as solarforce skyline, HS-801/802 ? what do deep reflectors do?

another question. is there a limit to the throw distance-reflector diameter relationship? i mean, having a reflector infinitely big doesn’t give u infinite throw, right? at which point would the reflector size has no effect on throw distance?

I’ll have a go at this. When it is deeper the spill diameter is reduced because the led is farther from the opening. That little bit of light that would have been in the outer spill that is blocked by the longer reflector is instead reflected out the front with the rest of the light, resulting in that fairly dim amount of light being added to the light in that smaller area. So while it does add a little to the hotspot, it’s not enough to make much of a difference.

Wow. You are one scary Dr Mr Jones. Thanks.

Prometheus:

Reflector depth has only a small influence on throw: It affects the size of the reflector's 'dead hole'. An XM-L emits light into the full hemisphere, so those parts of the parabola which would be behind the LED cannot contribute. The deeper the reflector, the smaller that area is. With 'typical' reflectors you get about 10% dead apparent area (that's the factor of 0.9 in the equation), deep reflectors have a few percent less.

A deeper reflector has about the same throw, a smaller spot core, but a wider corona.

However the "deep reflector for throw" rule comes from older times when the typical LED was the XR-E, and the XR-E's collar reduced the maximum emission angle to about 120° (instead of the ~180° hemisphere); that results in a bigger dead hole (about 30% dead area for a typical reflector) and then a deeper reflector gave a more substantial improvement. BTW the XP-E thus does have an advantage over the XR-E regarding throw in a reflector due to it's smaller dead hole.

There is no principal limit to the d to D relation, however the bigger the reflector gets, the better it's quality must be to still reflect the LED precisely into the center beam. Still much less quality than for a professional astronomy telescope of the same size for example, but the price for a D=2m reflector with sufficient quality would be astronomical none the less (16km NEMA-throw...).

If you have access to a, say, 25cm reflector telescope and can get a LED into it's focal plane... -> 2km NEMA-throw. More if you use an XR-E EZ900 R2 :)

1 Thank

thanks for the reply Tecmo and DrJones :slight_smile:

Damn impressive knowledge on this subject. Greatly appreciate you sharing it with us. :slight_smile:

Very good info. Thank you very much DrJones. You answered some questions I have been pondering and much more. It has to be a challenge to translate such technical knowledge into concepts laymen can understand. I'm struggling to wrap my mind around something. Recap as I understood your write up:

  • Dedome causes less lumen (F) output due to more photons not escaping the led crystal because there is about 13° less critical angle.
  • The photons that don't escape bounce around until they finally escape, get absorbed, or reused in the phosphor layer. This increases luminance (L).
  • The beam pattern of both dome and dedome are both approximately lambertian.

Since less photons are emitting out the front of our dedomed lights, it just seems the reused photons is not enough to explain enough of the increase in L. At least when considering the typical magnitude of throw increase we experience in our lights after a dedome.

You may have said it and it just went over my head, but is the biggest contributor to the lower L of the dome the actual surface area of the dome itself being much larger than the surface area of the led crystals?

EDIT: Sentence added to clarify.

This may be a silly question, I don’t know…why can’t we buy LEDs with no dome? Wouldn’t that be easier to manufacture?

ImA4Wheeler said: Since less photons are emitting out the front of our dedomed lights, it just seems the reused photons is not enough to explain enough of the increase in L.

It actually is. Hypothetically assuming you have a flat protection layer without photon reuse (photons above critical angle just get absorbed), it would have the same luminance as the domed LED. The dome would get more photons out, but the apparent die would be bigger, so more flux divided by more area gave the same luminance. It's the total inner reflection (photon reuse) that increases luminance.

I have one question DrJones, since after de-doming the LED tint would be shifted to warmer side, does that mean the CRI of the light improved as well?

It seems to me that the main advantage of de-doming is that the light is spread more to the sides so the reflector catches more of it. An other is that eliminating this converging element makes the spot smaller. Since these are optical advantages, they can be achieved as well by other changes in the optics. An aspheric zoomie catches the light that goes forwards so it will focus more light with the dome in place. A longer focal length gives a smaller spot. A long focal length lens tends to lose a lot of light around the sides and makes the flashlight long, but those can be fixed by using a Fresnel lens.

I found a sketch of a Fresnel flashlight lens in a Chinese Web page. It is similar to the lighthouse lenses, some of which were made by Fresnel himself, with the center of the lens refracting and the outer segments working by total internal reflection (more TIR than the lighthouses). It appears to have little or no reentrant form, so it would come out of a two piece mold. The center focal length is short, so the light focused by the center forms a fairly broad beam, but as one goes out the lens and mirror segments are sections of longer focal length lenses and TIR reflectors, so they contribute a small spot at the center. So the result is a nice gradual transition from throw to “spill” with maximum throw for the physical length of the light.
The question is how can a hobbyist make or obtain such a lens. Maybe such things are used in aircraft beacons. The lighthouse lenses were made by hand, but the effort was prodigious. Maybe the Chinese that posted the drawing are making them already? I don’t read Chinese. I only know that Google found the page when I asked for images of flashlight lenses.
Searching for Fresnel in BLF, I find hits including short focal length Fresnel lenses for sale .

I see the argument that the luminance limits the throw for fixed optics or within a given size constraint. But I don’t think there has been enough thought yet about the optics and the requirements.