Lens Design by Computer

Wynne, C. G.; Wormell, P. M. J. H.

doi:10.1364/ao.2.001233

Cited by 59 publications

(14 citation statements)

References 4 publications

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“…The real chromatic aberration is corrected for optimization. The damped least-squares method [13][14][15] is applied for an optimization design of the chromatic aberration. A merit function is defined as the summation of the squared values of the weighting differences between the aberrations and their target values.…”

Section: Merit Functionmentioning

confidence: 99%

A Low-cost Optimization Design for Minimizing Chromatic Aberration by Doublet Prisms

Sun¹,

Tien²,

Sun³

et al. 2012

Journal of the Optical Society of Korea

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A low-cost optimal double-prism method is proposed by using the developed MATLAB program to correct chromatic aberration. We present an efficient approach to choose a couple of low-cost glasses to obtain a low aberration double prism. The doublet prisms were made of two lead-free glasses. The relative partial dispersion of the two lead-free glasses is identical and their Abbe numbers are different greatly. The proposed design aims to minimize chromatic aberration, such as in apochromats, for paraxial ray tracing. Finally, an optimization design for real ray tracing can be evaluated by the chromatic aberration curve with a minimal area.

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Section: Merit Functionmentioning

confidence: 99%

A Low-cost Optimization Design for Minimizing Chromatic Aberration by Doublet Prisms

Sun¹,

Tien²,

Sun³

et al. 2012

Journal of the Optical Society of Korea

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“…(ATA+pl)AX= -ATF(XO) ' (2) where A indicates a Jacobian matrix, p signifies a damping factor, I is the unit matrix, and AX is the solution vector.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Determination of Initial Variable Derivative Increments Using Genetic Algorithm in Damped Least-Squares Automatic Lens Design Problem

Matsui¹,

Tanaka

1996

OPT REV

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An important factor in performing effective optimization with the damped least-squares method is to establish appropriate initial values for the variable derivative increments prior to starting the optimi2;ation process. It is shown first that the determination of these increments can be treated as a combinatorial problem. Then, a novel method of determining optimum variable derivative increments is developed using a genetic algorithm and the characteristics of the eigenvalues of the Jacobian matrix. Some numerical experiments to show the effectiveness 0L this method are also presented. The proposed method reduces the number of optimization reiterations required to reach a stationary point.

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“…The damped least squares method [1,2] has been extensively used in lens optimization programs [3][4][5][6] . These programs aim at minimizing the merit function, which is defined as the sum of the squares of the weighted aberrations .…”

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confidence: 99%

“…The efficiency of the program depends on the proper selection of the damping factor which constrains the magnitude of parameter changes, so that these remain within the range of linearity . Considerable work [3,4,7,8] has been done on the subject of selecting the damping factor . In this letter a new method of selecting the damping factor is described .…”

mentioning

confidence: 99%