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Science · Advanced Physics
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5.18 A semiconductor photodiode consists of a light-sensitive layer of thickness, d, coupled to electronic circuitry that measures the current produced in that layer (Figure P5.18). Electrons are generated at a rate, M, by light striking the sensitive layer and are directly proportional to the light intensity. The light gets absorbed by the layer, so the intensity varies exponentially with depth: I exp(-ox M(mol/ms m I Once generated, the electrons diffuse toward the circuitry, and a signal is issued proportional to the electron flux at x d. a. Determine the concentration profile of electrons in the light-sensitive layer and how the flux of electrons depends upon the current. (Hint: Use boundary conditions x 0 c 0; x d Me 3 Mar). b. All photodiodes have a dark current, electrons formed by random thermal means. This dark current is proportional to the volume of light-sensitive material, la 31% and repre sents noise in the system. Develop an expression for the signal to noise ratio. Comment on how to operate the device. Circuitry

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