Models of nonlinearities in focal plane arrays

Statistics – Applications

Scientific paper

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Scientific paper

Focal plane applications demand a high degree of linearity in the detector response function (voltage out vs. photon flux in). For calibrating radiometric data and for correcting channel-to- channel nonuniformities in nonradiometric data, the response function of the focal plane must be correctable to within 0.1%. This specification requires either significant improvement in focal plane technologies or in methods to correct for it. Two-point calibration is often used to correct for nonuniformities across a focal plane array (FPA), as well as for calibration. Because the input-output curves of FPA channels are nonlinear, two-point calibration produces a systematic calibration error as a function of flux, and the channel-to-channel variations of this calibration error leave a significant post-correction nonuniformity. A simple physical model of the detector nonlinearity is used to illustrate these points. The sensor degradation due to nonlinearities is predicted from the pixel-to-pixel variations in nonlinearity after two-point correction. Variations of only 0.2% can result in significant degradations of the array D(superscript *).

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