Journal ArticleDOI
Structural design of cemented triplets by genetic algorithm
TLDR
The role of genetic diversity in the evolving population on convergence of the optimization runs has been investi- gated, and, accordingly suitable modifications are incorporated in the basic genetic algorithm to eliminate undue stagnation and premature convergence problems.Abstract:
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 configu- ration space of the degrees of freedom, consisting of continuous vari- ables 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 investi- gated, and, accordingly suitable modifications are incorporated in the basic genetic algorithm to eliminate undue stagnation and premature convergence problems. Some illustrative examples are given. © 2004read more
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Journal ArticleDOI
Human-competitive lens system design with evolution strategies
TL;DR: Through the use of two evolution strategies, namely non-isotropic Self-Adaptive evolution strategy and Covariance Matrix Adaptation evolution strategy, as well as multiobjective Non-Dominated Sort Genetic Algorithm 2 (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 is demonstrated.
Journal ArticleDOI
Genetic Algorithms for Lens Design: a Review
TL;DR: The basic ideas behind GAs are discussed and their application in optical lens design is demonstrated and it is shown that GAs simulate the processes of natural evolution.
Journal ArticleDOI
Aberration correction of zoom lenses using evolutionary programming
TL;DR: An evolutionary algorithm is developed to explore the multivariate hyperspace of design variables formed by spherical aberration, central coma, and longitudinal chromatic aberration of each component for infinite conjugate of each part of the zoom system.
Journal ArticleDOI
Aberration correction of double-sided telecentric zoom lenses using lens modules
TL;DR: A systematic approach for the aberration design of a four-component double-sided telecentric zoom lens system is presented and mean pupil spherical aberration of every component in every zoom position is adopted in the objective function to control high-order aberrations.
Journal ArticleDOI
Genetic algorithms for lens design: a review
TL;DR: In this article, the basic ideas behind GAs and their application in optical lens design are discussed, and a number of newer studies explore the application of GAs or hybrid GAs in optical design.
References
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Book
Genetic algorithms in search, optimization, and machine learning
TL;DR: In this article, the authors present the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields, including computer programming and mathematics.
Journal ArticleDOI
Optimization by Simulated Annealing
TL;DR: There is a deep and useful connection between statistical mechanics and multivariate or combinatorial optimization (finding the minimum of a given function depending on many parameters), and a detailed analogy with annealing in solids provides a framework for optimization of very large and complex systems.
Journal ArticleDOI
Equation of state calculations by fast computing machines
TL;DR: In this article, a modified Monte Carlo integration over configuration space is used to investigate the properties of a two-dimensional rigid-sphere system with a set of interacting individual molecules, and the results are compared to free volume equations of state and a four-term virial coefficient expansion.
Book
Adaptation in natural and artificial systems
TL;DR: Names of founding work in the area of Adaptation and modiication, which aims to mimic biological optimization, and some (Non-GA) branches of AI.
Book
Principles of Optics
TL;DR: In this paper, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.