I show how computer algebra can be of material help in determining the potential quality of various zoom lens arrangements. One fortuitous result of this work is a proof that, when the object is kept at infinity, it is possible in principle to design zoom lenses for which all third-, fifth-, and seventh-order aberrations are corrected over a continuous range of zoom settings limited only by the restriction that the lens groups may not run into each other.
© 1999 Optical Society of America
Original Manuscript: July 13, 1998
Revised Manuscript: September 16, 1998
Manuscript Accepted: August 28, 1998
Published: January 1, 1999
A. Walther, "Zoom lenses and computer algebra," J. Opt. Soc. Am. A 16, 198-204 (1999)