What is the minimum light level a camera can detect?

Asked 3/27/2012

3 views

2 answers

0

I'm trying to estimate how faint a light source a camera can record. In my earlier experiments I was interested in very dim bioluminescence, and now I want the more general question: what sets the minimum detectable light level for a camera? For example, is there any meaningful way to express this in lumens, or does it depend mostly on exposure time, ISO, aperture, and how much of the sensor area the light falls on?

Originally by Photography Stack Exchange contributor. Source · Licensed CC BY-SA 4.0

Photography Stack Exchange contributor

14y ago

2 Answers

12

Note: The dark adjusted human eye can detect a single photon!

Short: About 5 picolumen per pixel with the best commercial DSLRs such as a Nikon D3s.

Long :-) :

Minimum detectable light source will depend on camera and how much of the image area the source occupies. For best detectability, a source will be "brightest" if all it's energy arrives in a one pixel area. The image will not be very interesting in most cases :-).

But, to attempt to put a very approximate empirical answer to the question:

I'll make various assumptions along the way and summarize them at the end so they can be adjusted as desired.

1 EV is a bit above bright Moonlight and is correctly exposed at ISO 100 at f1 for 1 second.

1 EV = 1 lux = 1 lumen per square meter.

I'll avoid the temptation here to leap into steradians and candela and stick with more intuitive empirical terms :-).

Let's assume you are using a Nikon D3s which has a 12 megapixel sensor that can just about see in the dark with no photons at all.
At about 100,000 ISO and an exposure of one second at f1 at 1 EV and dark field subtraction you may perhaps have difficulty detecting whether a given pixel was illuminated or not as even a D3s is getting somewhat noisy. At around 12800 ISO there would be little doubt.

If you set your camera to image 1 square meter then then the 1 EV lighting will be providing 1 lumen total so the 12 million pixel sensor will be accepting ~1/12,000,000 th of a lumen per pixel.

That's at f1 and ISO 100 and 1 second exposure.
Increase ISO to 12800 as above and you can detect 1/12800th less light again.
1/12 million x 1/12800 ~= 6.5 x 10^-12 lumen = 6.5 picolumen.
I don't think I've seen picolumen used before :-)

So, if, all of:

  • You use an f1 lens

  • Your camera can image at ISO 12800 for one second at 1 lux or 1 EV and produce a discernible change in a given pixel

  • You have a 12 megapixel sensor

Then you can DETECT about 5 picolumen **in a single pixel area.
A Nikon D3S should do thus with relative ease.
Longer exposure times will produce increased sensitivities but in time noise will catch up with even a D3s.

Over the whole 12 megapixel sensor his corresponds to 78 microlumen which is 1/12800 th of a lumen total which is no surprise as it is just the inverse of the ISO setting when imaging a square meter at 1 lumen per square meter.

If you vary imaged area, aperture, ISO, sensor pixels, exposure time or camera capability then the answer will vary accordingly.

The biggest gain you can make with a given sensor is to cryo cool it.
And then there are advanced photo multiplying sensors that take the question away from the realm of "normal photography". eg Electron Multiplying CCD, Frame Transfer CCD, Intensified CCD, ...

See also:

Wikipedia astrophotography


Added: Sensor dynamic range -

It's been suggested that some cameras are superior to the D3s in light detection ability per pixel. For cameras which are actually available to take real photos wih, The D3s is still the king of low ISO. See DxOMark's evaluations here.
They explain their reasoning and method on the above site.

In per pixel terms raher than whole image the closest contenders are actually worse than shown by a factor of square_root(Mp/12) where Mp is the megapixel rating of the comparative camera and 12 = D3s 12 Mp. eg 36 Mp D800 is worse than shown by a facor of sqrt(36/12) = 1.7 on a per pixel basis.

enter image description here


Added:

For those who have the time and patience to wade through a long thread, this DPReview user discussion discusses sensor dynamic range and MUCH more related material. There are several quite capable and high powered people there banging heads together rather solidly but they largely seem to come to a good degree of agreement overall.

Max dynamic range of a sensor is one of their easy topics. It is generally agreed that gains due partially due to dithering allow up to +1.8dB more dynamic range than ADC bits.

Note that you can get more again IF the sensor is better than the resolution of the ADC used BUT if the ADC is either more precise than its number of bits ie LSb = 1.0 or 1.00 and not just 1. in actual accuracy OR if the ADC is stable in its results, regardless of actual accuracy. In such cases the addition of controlled noise of designed characteristics can allow more bits to be extracted from the ADC than it notionally possesses.

Here is a NatSemi (now TI) application note which covers the subject well.
TI literature Number: SNOA232. Here -> Improving A/D converter performance using dither

National Semiconductor Application Note 804, Leon Melkonian, February 1992

See figure 12, page 5, where the addition of optimum dither noise allows recovery of a 1/4 LSB amplitude signal - effectively adding 2 bits to the ADC!!!.

Originally by user6263. Source · Licensed CC BY-SA 4.0

user6263

14y ago

0

AI Answer

Generated from our catalog & community — verify before relying on it.

There isn’t one universal “minimum lumens” value for a camera. Detectability depends on several things: exposure time, aperture, ISO/gain, sensor noise, and especially how concentrated the light is on the sensor.

A source is easiest to detect when its light is focused into a very small area (ideally about one pixel). If the same light is spread over many pixels, it becomes harder to distinguish from noise.

Exposure time matters a lot: with long exposures, cameras can record extremely faint sources. This is why cameras can image nebulae, very dim displays, and other low-light subjects over seconds to minutes.

One community estimate suggested roughly 5 picolumen per pixel for the best commercial DSLRs, but that should be treated only as a very rough empirical figure, not a general rule.

So, in practice, the minimum detectable light level is not a fixed lumen number. It’s better described as a signal-to-noise problem determined by lens speed, exposure duration, sensor performance, and how much of the image area the light occupies.

UniqueBot

AI

14y ago

Your Answer