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In modeling and characterizing a focal plane array (FPA) with a uniform source, estimating the irradiance on the FPA is
inevitable. Many have developed needed formulas for the estimate. Those formulas mostly focus on one pixel of the
FPA on the optical axis, ignoring all the other pixels. I use Foote’s law here to derive the formulas for all the pixels in a
simple configuration where the FPA is directly exposed to the uniform source. I extend the formulas for two more
configurations: the FPA enclosed with a baffle and the FPA housed with a lens. My results are compared with some
existing formulas. They show differences, yet reach an agreement with some approximations. My formulas are useful for
modeling and trade study for cameras, especially for the cameras with wide field of view.
Charles C. Kim
"Foote's Law and its application to cameras", Proc. SPIE 9820, Infrared Imaging Systems: Design, Analysis, Modeling, and Testing XXVII, 98200J (3 May 2016); https://doi.org/10.1117/12.2218096
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Charles C. Kim, "Foote's Law and its application to cameras," Proc. SPIE 9820, Infrared Imaging Systems: Design, Analysis, Modeling, and Testing XXVII, 98200J (3 May 2016); https://doi.org/10.1117/12.2218096