The distortion introduced in t he image by a lens for a give n ax ial inclinat ion of t he chi ef ray is a linear function of t he magnification. Specifi cally, if Do re presen ts t he di stort ion with parall el light incident on one side of t he lens (zer o magnification) a nd D oo the distortion with parallel light incident on t h e other, t hen t he di stort ion Dm at any magn ifi cation m is given by Dm= Do-mDoo . This equat ion has been expe rimen tally verified for examples of three types of symmetrical lenses. '-STOP I A XIS F' K FIGU RE 1. Di agram of a lens and a given chief my.
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Arthur A. Magill (1955) studied this question.