Experiments with a genetic algorithm for structural design of cemented doublets with prespecified aberration targets

Banerjee, Saswatee; Hazra, Lakshminarayan

doi:10.1364/ao.40.006265

Cited by 32 publications

(18 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Using methods given in [2,[21][22][23][24][25][26][27][28][29], we can determine the radii and refractive indices of the lenses from which the individual elements will be composed of. Our design may serve as the starting point for further optimization using optical system design software such as ZEMAX, OSLO, etc.…”

Section: Seidel Aberration Coefficientsmentioning

confidence: 99%

Theoretical and experimental analysis of basic parameters of two-element optical systems

Mikš

Novák

2012

Appl. Opt.

View full text Add to dashboard Cite

Our work presents detailed theoretical analysis of two-element optical systems of telephoto lenses and objectives of anallactic telescopes with internal focusing. The first element of such systems has positive optical power and the second element has negative optical power. This type of optical system is widespread in practice mainly in the field of photographic lenses and in surveying instruments (theodolites, leveling instruments, etc.) where the anallactic telescope with internal focusing is being used. In our work we propose methods to determine the basic parameters of such objectives, i.e., the focal lengths of both the elements of the objective lens and their mutual axial separation. Furthermore, the detailed analysis of aberration properties of such optical systems is performed and methods for measuring the focal lengths of individual elements and their mutual distance without the need for disassembling the investigated optical system are presented.

show abstract

Section: Seidel Aberration Coefficientsmentioning

confidence: 99%

Theoretical and experimental analysis of basic parameters of two-element optical systems

Mikš

Novák

2012

Appl. Opt.

View full text Add to dashboard Cite

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

“…Practical implementation of this algorithm for structural lens design problems has already been reported in our recent publications, and we refer to them for details. 28,29 When we tried to adopt the algorithm utilized for structural design of doublets to the present problem, it was noted that most optimization runs were giving rise to premature stagnation problems. Further investigations revealed that it was being caused by rapid loss of genetic diversity in the population during the early phases of the optimization run, so much so that crossover operations were not effective in yielding better results.…”

Section: Optimum Values For Threshold Genetic Diversity and Mutation mentioning

confidence: 99%

“…The role of these parameters in enhancing performance of the genetic algorithm has been dealt with in detail in our earlier reports. 28,29 The effect of the genetic diversity criteria, as enunciated in the last section, was manifest by a significant increase in acceleration of convergence of the optimization algorithm, so much so that in most optimization runs, about 100 generations were adequate to obtain the optimum solution. Table 1 gives a selected list of 15 cemented triplets with zero aberration targets.…”

Section: Solution Numbermentioning

confidence: 99%

Structural design of cemented triplets by genetic algorithm

Chatterjee

2004

Opt. Eng

View full text Add to dashboard Cite

We present an implementation of a genetic algorithm in the structural design of cemented triplets according to a prespecified set of Gaussian characteristics and primary aberration targets. The approach is directed toward obtaining a suite of promising solutions allowing some floating of the primary aberration targets. This method obviates the need for any heuristic preselection of glasses for the three elements of the triplet. Searches for optimal solutions are conducted in the total configuration space of the degrees of freedom, consisting of continuous variables like shape factor and power distributions, and discrete variables like available glass types. The role of genetic diversity in the evolving population on convergence of the optimization runs has been investigated, and, accordingly suitable modifications are incorporated in the basic genetic algorithm to eliminate undue stagnation and premature convergence problems. Some illustrative examples are given.

show abstract

Experiments with a genetic algorithm for structural design of cemented doublets with prespecified aberration targets

Cited by 32 publications

References 6 publications

Theoretical and experimental analysis of basic parameters of two-element optical systems

Theoretical and experimental analysis of basic parameters of two-element optical systems

Human-competitive lens system design with evolution strategies

Structural design of cemented triplets by genetic algorithm

Contact Info

Product

Resources

About