Corrective polishing of freeform optical surfaces in an off-axis three-mirror imaging system

Zhang, Lei; Huang, Dengpeng; Zhou, Wansong; Cheng, Fan; Ji, Shijun; Zhao, Jun

doi:10.1007/s00170-016-8995-4

Cited by 7 publications

(2 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For multiray surface intersection, one of the industrial applications in optical engineering is freeform optical system. However, freeform optics that achieve excellent optical performance have broad application prospects in various areas, such as green energy, manufacturing, illumination, and biomedical [34][35][36][37][38]. The typical feature of such an imaging system is that the object plane or the phase plane is freeform surface.…”

Section: Implementation Examplesmentioning

confidence: 99%

An Approach to Computing Multipoint Inversion and Multiray Surface Intersection on Parametric Surface

Pei

Wang

Zhang

2019

Mathematical Problems in Engineering

View full text Add to dashboard Cite

This article presents a method for multipoint inversion and multiray surface intersection problem on the parametric surface. By combining tracing along the surface and classical Newton iteration, it can solve point inversion and ray-surface intersection issues concerning a large number of points or rays in a stable and high-speed way. What is more, the computation result can approximate to exact solutions with arbitrary precision because of the self-correction of Newton-Raphson iteration. The main ideas are adopting a scheme tracing along the surface to obtain a good initial point, which is close to the desired point with any prescribed precision, and conducting Newton iteration process with the point as a start point to compute desired parameters. The new method enhances greatly iterative convergence rate compared with traditional Newton’s iteration related methods. In addition, it has a better performance than traditional methods, especially in dealing with multipoint inversion and multiray surface intersection problems. The result shows that the new method is superior to them in both speed and stability and can be widely applied to industrial and research field related to CAD and CG.

show abstract

Section: Implementation Examplesmentioning

confidence: 99%

An Approach to Computing Multipoint Inversion and Multiray Surface Intersection on Parametric Surface

Pei

Wang

Zhang

2019

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…Scientists pay a lot of attention to the processing of complex shapes. An integrated polishing process system for finishing primary and tertiary mirrors is introduced in [16], and a self-optimization system for corrective polishing of optical freeform surfaces in [17]. These and similar systems require large investments and highly skilled workers.…”

Section: Introductionmentioning

confidence: 99%

Investigation Into Levitating Polishing Disc Used for Flat Surface Finishing

Švagždytė

Borodinas

Kilikevičius

et al. 2021

TFAMENA

View full text Add to dashboard Cite

The paper presents a new type of flat surface polishing device. The polishing disc rotates using the pressure of compressed air. The polishing disc has a special geometry, wherein it has holes for flow turbulence minimisation in the air pressure areas of the boundary. The influence of the hole inclination angle on the rotational speed of the disk and the system efficiency was studied experimentally and numerically. It was established that the optimal inclination angle is a 20° angle that results in the maximum efficiency of the proposed system. In the experiment, three polishing discs with hole inclination angles of 0°, 20°, and 30° were studied; the discs were rotated using four air pressure values: 0.2, 0.3, 0.4, and 0.5 MPa. It was found that the optimal inclination angle of holes was 20° and that the fastest rotational speed, i.e. 1900 1/min, was reached at a maximum air pressure of 0.5 MPa.

show abstract