[OPTICAL REVIEW Vol. 4, No. 6 (1997) 695-699]
Formulation of an Automatic Lens Design Problem by Modification of Weighted Tchebycheff Norm Method
Hiroshi MATSUI1 and Kazuo TANAKA2
1Engineering Information Systems Development & Operation Center, CANON Inc., 30-2, Shimomaruko 3, Ohta-ku, Tokyo, 146 Japan, 2R&D Headquarters, CANON Inc., 9-4, Shimomaruko 2, Ohta-ku, Tokyo, 146 Japan
(Received August 22, 1997 ; Accepted October 22, 1997)
Automatic lens design is viewed as a multiobjective optimization problem and is resolved by a minimization of the weighted Tchebycheff norm of objective functions. It is analytically solved using the multiplier method and a solution vector is transformed into the same form as the normal equation of the least squares method. Some numerical examples are given to show the effectiveness of the proposed method. The resultant solutions can not be obtained using the damped least squares method.
Key words : automatic lens design, damped least squares, least squares, multiobjective programming, Tchebycheff norm, zoom lens