In an ordinary varifocal or zoom lens system one or more lenses are moved back and forth along the optical axis. But lateral movements can also cause a zoom effect. The refractive or diffractive elements to be moved are no longer rotationally symmetrical. The elements can be made out of transparent material or as a grating with curved lines or as a special version of a kinoform. The zoom systems with lateral motion are very compact.
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A. W. Lohmann (1970) studied this question.
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