In my backyard are an empty hot tub and an empty shot glass. It has just started raining. It is raining with the same intensity on both the glass and the tub. Which one do you think will collect more water?
Interesting thought there... i get the point that a larger sensor will gather a total of more light.
But in your example above, how long do you suppose it will(should) rain ?
Same amount of time for both containers will provide the same depth of water (but still, different volumes) . Same shutter speed for two formats will provide the same motion blur, but different amounts of total light.
Keeping this sub-thread on track, an f/1.4 lens on MFT (let's say focal length F) will need the same exposure time as f/1.4 2xF lens on full frame ... No ?
If you shoot f/1.4 on both formats, you will get the same exposure if you also use the same shutter speeds. Using the same shutter and aperture number on two different formats will yield different DoF, shot noise and diffraction blur. The smaller format will have more of all three.
Assuming sensitivity is the same for all pixel sizes, the resulting images will be equally bright ?
Depends what you mean by "sensitivity". Same ISO and same quantum efficiency will yield the same image brightness for a given set of scene luminance, shutter speed and aperture number.
The one with MFT will have greater DoF ?
Yes.
Now, can equivalence arithmetic say that an f/2.8 FF lens will give similarly bright image with the same exposure time as with our f/1.4 MFT lens ?
Sorry for dragging this on... But it's kinda intriguing.
Not at a problem at all. You are exploring knowledge. That's great. I'll answerr this last question over the following three paragraphs.
Most people already know that to get the same FoV you need to use an equivalent focal length. That's why everybody and their dog refers to a 25mm MFT lens as a 50mm equivalent. To determine a lens' FF equivalent focal length, multiply by the format's crop factor.
To get the same DoF and diffraction blur for a given FoV, you have to use the equivalent aperture number as well. To calculate the equivalent aperture number, multiply the aperture number you use on your format by the format's crop factor. The equivalent aperture number gives you equal aperture diameter. If you use the same aperture diameter and the same shutter speed on sensors of equal efficiency, you will get the same shot noise.
To get the same image brightness for a given combination of shutter speed and aperture diameter, you have to use the equivalent ISO. To calculate the equivalent ISO, multiply the ISO you use on the smaller format by the square of the crop factor. So ISO 200 on MFT is equivalent to ISO 800 on FF.
Some people get a little wary about this last point because they have learned to associate higher ISO with higher noise. But higher ISO doesn't
cause higher noise. Less captured light is what causes higher noise. You get less captured light when either you have a lower exposure or a smaller sensor. The amount of light captured is the product of the exposure, the surface area of the sensor and the sensor quantum efficiency. (Sensor quantum efficiencies vary by much less than do sensor sizes or exposure values, so they are insignificant for purposes of this discussion.)
Exposure is the amount of light falling on the sensor per unit area during the time the shutter is open. For a given scene luminance, exposure is controlled by the product of shutter speed and aperture diameter (not aperture number) alone. Changing ISO on its own doesn't change exposure. The association of more noise with higher ISO exists because with a lower exposure you generally want to add more brightening. That's what increasing ISO does.
When shutter speed and aperture are both constrained, - i.e. you need a specific amount of motion blur and a specific DoF - a larger format provides no benefit regarding shot noise. It still retains any resolution advantage it might have. The benefit of FF wrt shot noise comes from two things.
- In many shooting situations, shutter speed and aperture diameter are not both completely constrained.
- In some cases, it can be appropriate to stop up to the wider aperture diameter most FF lenses can achieve.
Finally I'll mention that smaller formats provide no advantage regarding deeper DoF. Smaller formats have a deeper
minimum DoF, but they have the same effective
maximum DoF. That's because by the time you stop a smaller format lens down to an aperture diameter smaller than what the FF lens can achieve, any gains to sharpness due to deeper DoF have been cancelled out by additional unsharpness from diffraction. Thus there is no net increase in DoF from stopping down to such apertures, and indeed there may actually be a reduction of DoF by stopping down so far.