Analysis of Various Evolutionary Algorithms and the Classical Dumped Least Squares in the Optimization of the Doublet

Vasiljević, Darko; Golobic, Janez

doi:10.1007/978-1-4471-0427-8_19

Cited by 9 publications

(11 citation statements)

References 8 publications

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“…The three types of zoom lens offer three, five, and nine positions, respectively, designated by T 1-1 , T 1-2 , T 1-3 , T 2-1 , T 2-2 , T 2-3 , T 2-4 , T 2-5 , T 3-1 , T 3-2 , T 3-3 , T 3-4 , T 3-5 , T 3-6 , T 3-7 , T 3-8 , T [3][4][5][6][7][8][9] . Calculations for each position are executed three times by the GA method, and one time only by CODE V software.…”

Section: Analysis Of Experimental Resultsmentioning

confidence: 99%

“…Ray tracing by computer is important in modern optical design; however, the limitations of damped least squares ͑DLS͒ 1,2 are such that optical design software cannot easily yield the right optical design solution. 3 Much effort has been directed to obtaining optimum optical results, but the results show little success. The literature includes few reports of the use of genetic algorithms ͑GAS͒ in lens design optimization.…”

Section: Introductionmentioning

confidence: 98%

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Eliminating lateral color aberration of a high-resolution digital projection lens using a novel genetic algorithm

Fang

Liu

2007

Opt. Eng

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Advances in digital image optics have increased the significance of lateral color aberration because it is easily seen in the projected area. The choice of optical glass plays a role in the elimination of lateral color aberration. Current optical software still has difficulty in finding the optimal combination of optical glasses for twelve or more elements in a projection lens, the choice being among at least 300 optical glasses that have been developed. Even the modern damped least squares, a raytracing-based method, is limited, owing to its inability to identify an enhanced optical system configuration. As an alternative, this research proposes a new optimization process by using algorithms involving the theory of geometric optics in a projector lens, real encoding, multiple dynamic crossover, and random gene mutation techniques. Results and conclusions show that attempts to achieve negligible axial and lateral color aberration are successful.

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Section: Analysis Of Experimental Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Eliminating lateral color aberration of a high-resolution digital projection lens using a novel genetic algorithm

Fang

Liu

2007

Opt. Eng

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“…Each design modified by these operators is re-optimized with traditional local search algorithms. Since 1996, several papers have been published on the use of bit string GAs [19,20], real-valued GA [21][22][23] or ES [22,24] for the optimization of a fixed number of real-valued parameters. Results presented in [21] are apparently very good, with the successful automatic design of large-scale lens systems composed of more than ten parts with real-valued GA, and experiments on the use of Pareto optimal selection strategy for multiobjective optimization [25].…”

Section: Lens System Optimizationmentioning

confidence: 99%

Human-competitive lens system design with evolution strategies

Gagné

Beaulieu

Parizeau

et al. 2008

Applied Soft Computing

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Lens system design provides ideal problems for evolutionary algorithms: a complex non-linear optimization task, often with intricate physical constraints, for which there is no analytical solutions. This paper demonstrates, through the use of two evolution strategies, namely non-isotropic SA-ES and CMA-ES, as well as multiobjective NSGA-II optimization, the human competitiveness of an approach where an evolutionary algorithm is hybridized with a local search algorithm to solve both a classic benchmark problem, and a real-world problem.

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“…Ray-tracing by computer plays a role in modern optical design; however, due to the limitations of DLS [6] [9], optical design software still has difficulty in finding the right optical design solution [10]. Much effort has been made to reach the optimum optical results but the results show little success.…”

Section: Introductionmentioning

confidence: 99%

Primary chromatic aberration elimination via optimization work with genetic algorithm

Liu

Fang

et al. 2008

SPIE Proceedings

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Chromatic Aberration plays a part in modern optical systems, especially in digitalized and smart optical systems.Much effort has been devoted to eliminating specific chromatic aberration in order to match the demand for advanced digitalized optical products. Basically, the elimination of axial chromatic and lateral color aberration of an optical lens and system depends on the selection of optical glass. According to reports from glass companies all over the world, the number of various newly developed optical glasses in the market exceeds three hundred. However, due to the complexity of a practical optical system, optical designers have so far had difficulty in finding the right solution to eliminate small axial and lateral chromatic aberration except by the Damped Least Squares (DLS) method, which is limited in so far as the DLS method has not yet managed to find a better optical system configuration.In the present research, genetic algorithms are used to replace traditional DLS so as to eliminate axial and lateral chromatic, by combining the theories of geometric optics in Tessar type lenses and a technique involving Binary/Real Encoding, Multiple Dynamic Crossover and Random Gene Mutation to find a much better configuration for optical glasses. By implementing the algorithms outlined in this paper, satisfactory results can be achieved in eliminating axial and lateral color aberration.

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Analysis of Various Evolutionary Algorithms and the Classical Dumped Least Squares in the Optimization of the Doublet

Cited by 9 publications

References 8 publications

Eliminating lateral color aberration of a high-resolution digital projection lens using a novel genetic algorithm

Eliminating lateral color aberration of a high-resolution digital projection lens using a novel genetic algorithm

Human-competitive lens system design with evolution strategies

Primary chromatic aberration elimination via optimization work with genetic algorithm

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