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Title:
Methods to Determine Best-Fit Sphere for Off-Axis Aspheric Surface
Author: Zheng, LiXin(郑立新) ; Zhu, YongTian(朱永田)
Issued Date: 2007-11-21
Conference Date: 2007-7-8
Conference Place: Chengdu, China
Keyword: Off-axis aspheric surface ; Root mean square of asphericity ; Best-fit sphere ; Constraint conditions ; Cyclic Coordinate Method
Subject: 天文技术与方法::天文镜面(材料、加工、检测)
English 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.
Sponsorship: The International Society for Optical Engineering
Source: Advanced Optical Manufac. and Testing Tech.: Advanced Optical Manufacturing Technologies
Publisher: SPIE
Content Type: 会议论文
URI: http://ir.niaot.ac.cn/handle/114a32/473
Appears in Collections:中科院南京天光所知识成果_会议论文
镜面技术实验室_会议论文

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Recommended Citation:
ZHENG Li-xin,ZHU Zheng. Methods to Determine Best-Fit Sphere for Off-Axis Aspheric Surface[C]. 见:. Chengdu, China. 2007-7-8.
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文件名: Methods to Determine Best-Fit Sphere for Off-Axis Aspheric Surface.pdf
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