With the help of Gaussian Brackets, this paper presents a paraxial study of the mechanically compensated zoom lens which consists of a fixed front component, three independently movable components, and a fixed fifth component. The expressions, which define the displacement of components at zooming, the critical point of displacement, and the singular point of displacement are derived. Some numerical examples of the zooming locus are given.
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Kazuo Tanaka (1983) studied this question.