Abstract
Applying flux conserving properties between the entrance and exit pupils of a lens system, as well as ideas concerning irradiance magnification in the low numerical aperture limit, it is shown that some basic radiometric equations may be recast into an expression for relative illumination that reveals effects from image distortion and a lesser known quantity called “differential distortion.” The expression presented offers a rapid means for estimating the effects of image distortion on relative illumination, which may be useful for basic analysis prior to applying the more comprehensive formulary for relative illumination that has been provided by Reshidko and Sasian.
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