Abstract

A new aberration-balancing merit function for automatic lens design is described in which the MTF squared, with suitable weightings, serves directly as image-quality criterion. Details concerning the optimization procedure are given and a new set of normal equations is described. The basic assumption is that the design-parameter changes should be kept small, which is a valid approximation for the optimization technique employed. The evaluation of the coefficients in the normal equations requires extensive numerical integration; a method based on the modified Hopkins algorithm is suggested.

© 1969 Optical Society of America

Modulation-Transfer-Function-Based Merit Function for Automatic Lens Design, II*

William B. King
J. Opt. Soc. Am. 62(2) 230-233 (1972)

Correlation between the Relative Modulation Function and the Magnitude of the Variance of the Wave-Aberration Difference Function

William B. King
J. Opt. Soc. Am. 59(6) 692-697 (1969)

The Use of Merit Functions Based on Wavefront Aberrations in Automatic Lens Design

Joseph Meiron
Appl. Opt. 7(4) 667-672 (1968)

The Evaluation of the Variance of the Wave-Aberration Difference Function

W. B. King and J. Kitchen
Appl. Opt. 7(6) 1193-1197 (1968)

Diffraction-Based Merit Function as a Quadratic Form of Aberration Coefficients

Yoshinobu Itoh
J. Opt. Soc. Am. 61(3) 302-307 (1971)