Looking for order in the optical design landscape

Florian Bociort; Maarten van Turnhout

doi:10.1117/12.681541

31 August 2006 Looking for order in the optical design landscape

Proceedings Volume 6288, Current Developments in Lens Design and Optical Engineering VII; 628806 (2006) https://doi.org/10.1117/12.681541
Event: SPIE Optics + Photonics, 2006, San Diego, California, United States

Abstract

In present-day optical system design, it is tacitly assumed that local minima are points in the merit function landscape without relationships between them. We will show however that there is a certain degree of order in the design landscape and that this order is best observed when we change the dimensionality of the optimization problem and when we consider not only local minima, but saddle points as well. We have developed earlier a computational method for detecting saddle points numerically, and a method, then applicable only in a special case, for constructing saddle points by adding lenses to systems that are local minima. The saddle point construction method will be generalized here and we will show how, by performing a succession of one-dimensional calculations, many local minima of a given global search can be systematically obtained from the set of local minima corresponding to systems with fewer lenses. As a simple example, the results of the Cooke triplet global search will be analyzed. In this case, the vast majority of the saddle points found by our saddle point detection software can in fact be obtained in a much simpler way by saddle point construction, starting from doublet local minima.

Citation Download Citation

Florian Bociort and Maarten van Turnhout "Looking for order in the optical design landscape", Proc. SPIE 6288, Current Developments in Lens Design and Optical Engineering VII, 628806 (31 August 2006); https://doi.org/10.1117/12.681541

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available