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Methods to Determine Best-Fit Sphere for Off-Axis Aspheric Surface
ZHENG Li-xin; ZHU Zheng
2007-11-21
Source PublicationAdvanced Optical Manufac. and Testing Tech.: Advanced Optical Manufacturing Technologies
Volume6722
Issue6722
PagesVol.6722 45-1-8
Conference Date2007-7-8
Conference PlaceChengdu, China
Funding OrganizationThe International Society for Optical Engineering
PublisherSPIE
Abstract
In this paper we present an approach which can calculate the radius R of best-fit sphere in optical replication of off-axis aspheric surface. For regular shape, we choose the marginal points as constraint condition to get the radius R of best-fit sphere, which satisfies the root mean square of asphericity minimal. The aspheric rms under different constraints can be compared on the condition that the optical parameters, such as the paraxial radius R0 and conic constant k, are same for the parent aspheric surface of the circle, sector and regular hexagon-shaped off-axis aspheric surfaces. Moreover, we used the Golden Section Method and Cyclic Coordinate Method for optimization to solve the rms, and analyze the constraint conditions for the best-fit spheres.
KeywordOff-axis Aspheric Surface Root Mean Square Of Asphericity Best-fit Sphere Constraint Conditions Cyclic Coordinate Method
Subject Area天文镜面(材料、加工、检测)
Document Type会议论文
Identifierhttp://ir.niaot.ac.cn/handle/114a32/473
Collection中国科学院南京天文光学技术研究所_会议论文
镜面技术实验室_会议论文
Recommended Citation
GB/T 7714
ZHENG Li-xin,ZHU Zheng. Methods to Determine Best-Fit Sphere for Off-Axis Aspheric Surface[C]:SPIE,2007:Vol.6722 45-1-8.
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