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From this link:

Photon noise, also known as Poisson noise, is a basic form of uncertainty associated with the measurement of light, inherent to the quantized nature of light and the independence of photon detections.

I couldn’t understand,

… and the independence of photon detections.

What did the author actually mean by that?

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Ultimately at a fundamental level, an image signal as captured by a digital sensor is obtained by integrating the energy transmitted by the photons of the light wave.

If you are imaging a bright scene, there will be a large enough number of photons hitting the detector that this effect will not be detectable, but if the sensor is operating in a dark environment, individual photons may be detected and counted, and the number of photons that have hit a cell of the detector as a function of time is modeled as a Poisson random process.

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