Abstract

A method for automatic lens design is described, based upon the approximation of the curve describing the merit function plotted against a certain parameter, by a parabola. The minima of the parabolas of all design parameters are then chosen as the new values of the corrected system. When the order of the parabola is either known or approached sufficiently close, this method results in a fast convergence and avoids oscillations around the minimum point of the merit function. It thus has definite advantages over the least squares or the steepest descent methods, although the time required for one iteration is doubled in comparison with the corresponding time in the other methods.

An actual correction of a Cooke triplet both by the least squares and by the new method is outlined.

© 1960 Optical Society of America

Automatic Lens Design by the Least Squares Method

Joseph Meiron
J. Opt. Soc. Am. 49(3) 293-298 (1959)

Damped Least-Squares Method for Automatic Lens Design

Joseph Meiron
J. Opt. Soc. Am. 55(9) 1105-1109 (1965)

Automatic Lens Design Methods*

Donald P. Feder
J. Opt. Soc. Am. 47(10) 902-912 (1957)

Automatic Lens Design with a High-Speed Computer*

Donald P. Feder
J. Opt. Soc. Am. 52(2) 177-183 (1962)

Automatic Correction of Residual Aberrations

Joseph Meiron and H. Michael Loebenstein
J. Opt. Soc. Am. 47(12) 1104-1109 (1957)