光学学报, 2016, 36 (7): 0712002, 网络出版: 2016-07-13
拼接菲涅耳透镜子镜失调误差分析
Analysis of Stitched Fresnel Lens Segmented Mirrors Miss-Adjustment Error
测量 误差分析 拼接衍射透镜 菲涅耳透镜 光学波前 measurement error analysis stitched diffraction lens Fresnel lens optical wave-front
摘要
大口径菲涅耳透镜由多个子镜拼接而成,子镜失调误差会影响拼接菲涅耳透镜的成像质量,以瑞利判据作为评价标准,根据菲涅耳透镜波前像差理论,分析了拼接菲涅耳透镜子镜各个自由度失调误差公差允限,给出了理论计算公式。分析表明:拼接菲涅耳透镜F数越大,各自由度失调误差公差允限越宽松。采用Zemax软件进行理论仿真,利用干涉仪对拼接波前进行实验检测,检测结果显示,拼接波前与理论计算最大误差为0.006λ,验证了理论的正确性。分析结果为拼接菲涅耳透镜光机设计、检测与装调提供了理论依据与指导。
Abstract
Fresnel lens with large aperture is stitched by multiple segmented mirrors, and miss-adjustment error of segmented mirror will affect imaging quality of stitched Fresnel lens. Using the Rayleigh criterion as evaluation criteria, according to Fresnel lens wave-front aberration theory, each degree of freedom allowed limit for Fresnel lens miss-adjustment error tolerance is analyzed, and the theoretical formula is given. Analysis result shows the bigger the stitched Fresnel lens F-number is, the looser each freedom degree of the miss-adjustment error tolerance limit becomes. Using Zemax software to simulate, the stitched Fresnel lens wave-front is tested by interferometer. The result shows that the maximum error between the stitched wave-front and the theoretical calculation is 0.006λ, which verifies the correctness of the theory. The results provide a theoretical basis and guidance for design, test and alignment of the stitched Fresnel lens.
汪利华, 吴时彬, 杨伟, 任戈. 拼接菲涅耳透镜子镜失调误差分析[J]. 光学学报, 2016, 36(7): 0712002. Wang Lihua, Wu Shibin, Yang Wei, Ren Ge. Analysis of Stitched Fresnel Lens Segmented Mirrors Miss-Adjustment Error[J]. Acta Optica Sinica, 2016, 36(7): 0712002.