One-dimensional searches for finding new lens design solutions efficiently

Abstract

A special structure is present in the lens design landscape that makes it different from a general global optimization problem: many local minimums are closely related to minimums of simpler problems and can therefore be found by decomposing the search for them in simple steps. We show here that in the design landscape of a wide-angle pinhole lens and in closely related optimization landscapes, all good local minimums found by other methods can be obtained easily with a succession of one-dimensional searches starting from simpler systems. By replacing high-dimensional searches with a succession of one-dimensional searches, the design efficiency can be increased significantly. By combining this method with conventional design methods, the wide-angle pinhole lens can be designed starting from a single lens.

Producibility analysis of lens system during optical design stage

“…Thanks to the research of a group of scientists 5 [1,[3][4][5], this problem was solved as an Expert System, which provides knowledge unification within development of optical devices. The Expert System is the first step to start an artificial intelligent approach to this complex engineering field.…”

“…PanDao identifies a three step fabrication chain (Fig. 4) featuring curve generator CNC (Computer Numerical Control) [6] grinding with a final full-aperture CNC 1 ISO 10110-1 1996. Optics and optical instruments -Preparation of drawings for optical elements and systems -Part 1: General.…”

“…Materials, which we have picked up from Schott glass catalogue1 are: BK1 and F2 and they have refractive index close to plastic materials. 1 https/schott.com/ Fig. 4.…”

“…The design of optical devices characteristically exhibits the presence of several technical solutions [1]; the difference between them is not obvious. It is possible to choose the best one, for example, by determination of their optimal production chain, and comparison of production costs for alternative variants.…”

“…These issues are successfully solved by using the recently developed PanDao software tool 1 . In brief, PanDao is a software which analyses optical layout and tolerances prepared by an optical designer.…”