alanr0
Veteran Member
It seems clear from Mark's context that he was referring to doubling the sensor width without changing the lens design - in other words increasing the field of view while keeping aperture and focal length constant.It isn't simple. For the SAME size lens, if you double the sensor width and redesign the lens for the same FOV, you get the same amount of light.Double the width of a sensor, and you get four times the total light. It's simple. Same with lenses: double the front pupil diameter of a lens, and also get four times the total light. Neither one of these factors has a greater effect than the other.
Uniform luminance, 4x sensor area, so 4x more light - simple.
Correct.The total light only goes up if 1.) The FOV goes up (you "see" more light) or 2.) The lens has a larger front diameter.
But if you are discussing total light, you do need to take into account the sensor size, because this determines field of view.Sensor's don't gather light. Lenses do. You can't talk about total light w/o talking about the lens assumptions made.
Re-phrasing your statement:
Lenses concentrate light from the subject. Luminance in the image plane is proportional to the square of the numerical aperture (0.25 / f-number^2)
Sensors intercept light in the image plane. Total light collected is the product of exposure time, image plane luminance and sensor area.
As you say, at fixed field of view, total light is proportional to the square of entrance pupil diameter.
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Alan Robinson
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