Abstract
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.
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