A new approach for 'ab initio' synthesis of thin lens structure of optically compensated zoom lenses is reported. This is accomplished by an implementation of evolutionary programming that explores the available configuration space formed by powers of individual components and inter-component separations to obtain globally or quasiglobally optimum solutions for the problem. Normalization of the variables is carried out to get an insight on the optimum structures. The method has been successfully used to get thin lens structures of optically compensated zoom lens systems by suitable formulation of merit function of optimization. Investigations have been carried out on four-component zoom lens structures. Illustrative numerical results are presented. © 2011 Elsevier GmbH. All rights reserved.

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University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

Optik

This paper reports our investigations on the design of globally or quasi-globally optimal structures for three-component and four-component mechanically compensated zoom lenses. This is accomplished by implementation of a global optimization technique based on evolutionary programming. The technique searches optimal structures in the configuration space formed by the specific design variables: powers of individual components and the intercomponent separations. Any requirements for system length and Petzval curvature of the zoom lens can be incorporated in the search for optimal solutions. Illustrative numerical results of our investigations on four regular types of zoom systems, as classified by Tanaka, are presented. © 2012 Society of Photo-Optical Instrumentation Engineers (SPIE).

Optical Engineering

Structural design of mechanically compensated zoom lenses by evolutionary programming

An approach for ab initio synthesis of the thin lens structure of linearly compensated zoom lenses is reported. This method uses evolutionary programming that explores the available configuration space formed by powers of the individual components, the intercomponent separations, and the relative movement parameters of the moving components. Useful thin lens structures of optically and linearly compensated zoom lens systems are obtained by suitable formulation of the merit function of optimization. This paper reports our investigations on three-component zoom lens structures. Illustrative numerical results are presented. © 2011 Optical Society of America.

Applied Optics

Ab initio synthesis of linearly compensated zoom lenses by evolutionary programming

A new approach for 'ab initio' synthesis of thin lens structure of zoom lenses is reported. This is accomplished by an implementation of evolutionary programming, based on Genetic Algorithm, which explores the available configuration space formed by powers of individual components and inter-component separations. Normalization of the variables is carried out to get an insight on the optimum structures. The method has been successfully used to get thin lens structures of mechanically compensated, optically compensated, and linearly compensated zoom lens systems by suitable formulation of merit function of optimization. Investigations have been carried out on three component and four component zoom lens structures. Illustrative numerical results are presented. © 2010 SPIE.

Proceedings of SPIE - The International Society for Optical Engineering

A novel approach for structural synthesis of zoom systems

A new approach for structural synthesis of optically compensated zoom lenses is reported. An implementation of evolutionary programming facilitates the procedure by carrying out a global search over the available degrees of freedom, namely, powers of the components and the inter-component separations. Practical success of the method depends on suitable formulation of the fitness function. Normalization of the variables is carried out to get an insight on the optimum structures. Illustrative numerical results are presented. © 2009 Copyright SPIE - The International Society for Optical Engineering.

Structural design of optically compensated zoom lenses using genetic algorithm

In a recent paper1 we have reported on the feasibility of reducing the problem of structural design of a multicomponent lens system in accordance with a prespecified set of Gaussian characteristics and primary aberration targets to the relatively simpler problem of determining optimum structures for the component lenses with central aberration targets. The structural design of the individual components can be suitably tackled by evolutionary algorithm so that one can obtain globally or quasiglobally optimum solutions for the purpose. Details of the latter part of the approach are presented in this paper. Contrary to the usual practice of heuristic selection of glass types for the lens elements of the component, the glass types for individual lens elements are treated as discrete independent variables to be selected from a set of prespecified list of actual glasses. We have dealt with the global or quasiglobal synthesis of the individual lens components with the help of structures of increasing complexity, e.g. singlets, cemented doublets, broken contact doublets, cemented triplets, photovisual objectives etc. as necessary for the purpose. The total configuration space consists of continuous variables like shape variable and power distributions, and discrete variables like available glass types. This approach reduces significantly the chance of overlooking promising and better solutions by carrying out searches in the total configuration space simultaneously. Some illustrative examples will be presented.

Structural design of a lens component with prespecified aberration targets by evolutionary algorithm

Prefaced with a brief description of the state of the art in computer aided lens design optimization, this paper reports a prophylactic strategy to obtain global or quasiglobal optimum solutions for this nondeterrninistic polynomial (NP) time hard problem. For the synthesis of multicomponent lens systems, a top down approach is employed first to obtain paraxial and central aberration targets for the constituent thin components. Central aberrations of a component are the aberrations when stop is on the component. Suitable structural designs for the individual components are determined by evolutionary programming. Overall systems synthesized with these quasiglobally optimum components are reoptimied by local optimization algorithms. Illustrative numerical results on the second step of the design procedure are presented. © 2005 The Optical Society of Japan.

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