Assume that the total time response of a vacuum photodiode is given by the sum of
the transit time and the RC time constant. (a) Derive an expression for the plate
separation d that minimizes the total response time. Put your answer in terms of the
applied voltage V0, the plate area A, and the load resistor R. (b) Calculate this optimum
plate separation for parallel plates of diameter 2 cm, a voltage 2.5 kV, and a
load resistance 50 _. Repeat for a load resistance 1 k_. (c) Determine the optimized
total response time for the two values of R in part b.
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Assume the total response time of a silicon photodiode can be taken as the sum of the transit time (limited by saturation velocity 105 m/s) and the RC rise time tr. Derive an expression for the optimum intrinsic region thickness d. If the load resistance is 50 _ and the detector area is 0.01 mm2, calculate d and the resulting detector bandwidth.
A vacuum photodiode operates at a voltage of 2.5 kV and has a response time of270 ps. Determine the plate spacing, assuming that the time response is limited bythe transit time.
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