Problem 2 Assume a detector of light, for example a digital camera, has square pixels (x * y) of size L x L. If a photon

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Problem 2 Assume A Detector Of Light For Example A Digital Camera Has Square Pixels X Y Of Size L X L If A Photon 1 (31.85 KiB) Viewed 32 times

Problem 2 Assume a detector of light, for example a digital camera, has square pixels (x * y) of size L x L. If a photon arrives at a specific pixel, the detector assigns the center of that pixel as the measured position. Consider one such pixel only, centered on the origin for simplicity. Assume the incoming photons are uniformly distributed in r and y. (a) What is the probability distribution of the incoming photon x position, again considering this one pixel only? Is it continuous or discrete? (b) What are the mean and standard deviation of the error on the x and y positions assigned to incoming photons? Hint: r and y are completely independent, and you can solve for both with the same 1-dimensional treatment.