Optical detectors and D* One formula given the specific detectivity D* = where A

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Optical detectors and D* One formula given the specific detectivity D* = where A is the area of the detector, B is the measurement bandwidth (usually taken to be 1 Hz), P the incident optical power, and v is the voltage and v the noise voltage. Another form was given as: D* = where eta is the quantum efficiency, hv is the photon energy, and l the background irradiance. Show that the two definitions are equivalent. Hint: Show that the dimensions are the same. Hint: The Background-limited NEP (Noise Equivalent Power) is (NEP)at, = vn(p/ ) Hint: The Bandwidth B of filter which averages for a time tau is B = l/(2 tau). Hint: The background irradiance I = P /A Hint: Try to calculate the various currents. Remember that power is proportional to current squared.

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