Problem 4) - a) If d is the thickness of a photodetector material, Io is the intensity of the incoming radiation, show that the number of photons absorbed per unit volume of sample is = 1,[1-exp(-ad)] dhy b) What is the thickness of a Ge and In0.53Ga0.47As crystal layer that is needed for absorbing 90% of the incident radiation at 1.5 μm? c) Suppose that each absorbed photon liberates one electron (or electron hole pair) in a unity quantum efficiency photodetector and that the photogenerated electrons are immediately collected. Thus, the

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4a and 4b) please help with parts A and B only. Thank you!
Problem 4)
-
a) If d is the thickness of a photodetector material, Io is the intensity of the incoming radiation,
show that the number of photons absorbed per unit volume of sample is
1 ph
1,[1-exp(-ad)]
dhv
b) What is the thickness of a Ge and In0.53Ga0.47As crystal layer that is needed for absorbing
90% of the incident radiation at 1.5 μm?
c) Suppose that each absorbed photon liberates one electron (or electron hole pair) in a unity quantum
efficiency photodetector and that the photogenerated electrons are immediately collected. Thus, the
Transcribed Image Text:Problem 4) - a) If d is the thickness of a photodetector material, Io is the intensity of the incoming radiation, show that the number of photons absorbed per unit volume of sample is 1 ph 1,[1-exp(-ad)] dhv b) What is the thickness of a Ge and In0.53Ga0.47As crystal layer that is needed for absorbing 90% of the incident radiation at 1.5 μm? c) Suppose that each absorbed photon liberates one electron (or electron hole pair) in a unity quantum efficiency photodetector and that the photogenerated electrons are immediately collected. Thus, the
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