Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Lens design and local minima

Not Accessible

Your library or personal account may give you access

Abstract

The widespread belief that local minima exist in the least squares lens-design error function is not confirmed by the Los Alamos Scientific Laboratory (LASL) optimization program. LASL finds the optimum-minimum region, which is characterized by small parameter gradients of similar size, small performance improvement per iteration, and many designs that give similar performance. Local minima and unique prescriptions have not been found in many-parameter problems. The reason for these absences is that image errors caused by a change in one parameter can be compensated by changes in the remaining parameters. False local minima have been found, and four cases are discussed.

© 1981 Optical Society of America

Full Article  |  PDF Article
More Like This
Accelerating convergence in automatic lens design

Berlyn Brixner
Appl. Opt. 20(14) 2452-2456 (1981)

Obtaining new local minima in lens design by constructing saddle points

Maarten van Turnhout, Pascal van Grol, Florian Bociort, and H. Paul Urbach
Opt. Express 23(5) 6679-6691 (2015)

Chaotic behavior in an algorithm to escape from poor local minima in lens design

Maarten van Turnhout and Florian Bociort
Opt. Express 17(8) 6436-6450 (2009)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (2)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (1)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved