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Proceedings Paper

Nonlinearity and lens design
Author(s): Berge Tatian
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Paper Abstract

This article addresses the impact of nonlinearity on the problem of designing lenses and the connection of Newton''s method with ordinary differential equations (ODE''s) and describes a method for improving its convergence inspired by the total least squares problem. A possible subtitle for this article might be " Why Haven''t All Possible Lenses Been Designed Already?" I first heard that question asked by Dr. Kingslake when he visited Itek over 15 years ago when we were demonstrating our computer lens design capabilities to him. It''s a question that comes to mind when one contemplates that there are more designers around today than back in precomputer times each of today''s designers can do more computation in a couple of days than a precomputer designer could do in a lifetime and very many different lens forms were already discovered by the time the computer came into use. So one might begin to wonder how many lenses are there? Or more in he spirit of this article how many solutions are there to the nonlinear equation of the lens design problem? In response to this question consider Fig. 1. This is a montage of sixelement lens forms gleaned from several books on the history of the photographic objective about which Dr. Kingslake has written extensively1. The lens forms shown are all from precomputer times and it is evident that there were a large number

Paper Details

Date Published: 1 January 1991
PDF: 11 pages
Proc. SPIE 1354, 1990 Intl Lens Design Conf, (1 January 1991); doi: 10.1117/12.47930
Show Author Affiliations
Berge Tatian, Itek Optical Systems (United States)


Published in SPIE Proceedings Vol. 1354:
1990 Intl Lens Design Conf

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