The conditions under which a two-element variable power lens can be created are examined. Such a lens is defined as one in which the functional form of the optical effect created does not change as the elements translate with respect to one another—only the magnitude of the effect changes. It is found that only variable power optical effects that can be described by quadratic functions can be formed by laterally translating two-element variable power lenses. In the case of rotationally translating two-element variable power lenses, possible designs are found by mapping possible laterally translating designs from a Cartesian space to the polar coordinate space of the rotationally translating lens.
© 2011 Optical Society of America
Optical Design and Fabrication
Original Manuscript: August 25, 2011
Manuscript Accepted: August 29, 2011
Published: September 30, 2011
Charles E. Campbell, "Conditions under which two-element variable power lenses can be created. Part 1. Theoretical analysis," J. Opt. Soc. Am. A 28, 2148-2152 (2011)