Description of Free-form Optical Curved Surface Using Two-Variable Orthogonal Polynomials

Qingfeng, 王庆丰 Wang; Dewen, 程德文 Cheng; Yongtian, 王涌天 Wang

doi:10.3788/aos201232.0922002

Cited by 3 publications

(2 citation statements)

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“…随着光电子技术的不断发展，大口径光电系统在激光通信、天文光学、空间光学、地基空间目标探测与识别等高技术领域得到了越来越广泛的应用，其表面面形的检测与评价直接影响制造精度与成像质量 [1][2][3][4][5] ；如果可以按照不同的误差源将误差分离(如重力印透造成的起伏与磨削、测试造成的噪声)，就可以对系统性能进行针对性的提高 [6][7][8][9][10] 。随着支撑与加工技术的进步，各种噪声的大小变得越来越接近，为了更好地对大口径反射镜进行调节与评价，需要引入一种合理的分离方法 [11][12][13][14][15][16][17]…”

Section: 引言unclassified

Large Aperture Reflection Mirror Figure Analysis with Singular Value

Qichang¹,

Jing-xu²,

Fei³

2014

激光与光电子学进展

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We introduce a singular value method to evaluate the mid-and high-frequency error in the large aperture reflecting mirror figure due to gravity print through and noise from processing and measurement. Firstly, we study the singular value method applied to mirror figure evaluaton. Then, the feasibility that the singular value method can be applied to the reflecting mirror figure is verified by numerical simulation. Finally, the proposed method is applied to autual evaluation of the reflecting mirror figure, and the results with highfrequency error in the system eliminated are obtained. The proposed method may help evaluate the large aperture reflecting mirror figure with lower signal to noise ratio.

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Section: 引言unclassified

Large Aperture Reflection Mirror Figure Analysis with Singular Value

Qichang¹,

Jing-xu²,

Fei³

2014

激光与光电子学进展

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“…In foreign countries, Ares found that the surface fitting technique of B spline method is more suitable for surface reconstruction by comparison [5] . In China, Qingfeng Wang et al also determined that array sampling has better adaptability through the problem of free-form surface fitting accuracy for different orthogonal polynomial surfaces [6] .…”

Section: Introductionmentioning

confidence: 99%

Free-form surface reconstruction of off-axis three mirror optical system based on rhino

Chang

Chen

Zhao

et al. 2023

Conference on Infrared, Millimeter, Terahertz Waves and Applications (IMT2022)

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With the development of modern space optical system, off-axis reflective system with wide spectrum, high resolution and large field of view has become the main direction of optical design. However, the off-axis property of off-axis reflective structure brings asymmetric aberration, which makes designers use free-form surface frequently to correct the aberration of optical system and improve the imaging quality. When the Trace Pro optical mechanical simulation software cannot accurately convert the optical system with free-form surface in CODE V, it is difficult to simulation stray light and analysis environmental in the subsequent studies. The reconstruction of free-form surface of off-axis three mirror optical systems are realized by Rhino in this paper. For the free-form surface in the off-axis three mirror optical systems designed by CODE V, a uniform circular dot ring array sampling method based on polar coordinates is proposed to obtain the free-form surface point cloud data. The point deviation of 5mm-80mm was analyzed, and the optimal sampling interval for the point cloud data of XY polynomial free-form surface with an aperture of 150mm was determined to be 10mm; The NURBS method is used to reconstruct the free-form surface model in Rhino, and the free-form surface reconstruction of the off-axis three mirror optical system is modeled in Trace Pro. Through the simulation of imaging optical path and the analysis of image point dispersion spot radius, it is verified that the free-form surface model of off-axis three mirror optical system can be reconstructed based on rhino. This research provides an effective method reference for optical mechanical joint simulation analysis.

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