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Journals >Chinese Optics Letters >Volume 13 >Issue Suppl. >Page S22401 > Article

Chinese Optics Letters
Vol. 13, Issue Suppl., S22401 (2015)

Manufacture of a large off-axis SiC parabolic mirror

Xiaokun Wang^*

Author Affiliations

Key Laboratory of Optical System Advanced Manufacturing Technology, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China

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DOI: 10.3788/COL201513.S22401 Cite this Article Set citation alerts

Xiaokun Wang. Manufacture of a large off-axis SiC parabolic mirror[J]. Chinese Optics Letters, 2015, 13(Suppl.): S22401 Copy Citation Text

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Abstract

The advantages of manufacturing a space aspheric mirror of SiC material are analyzed, and the key methods and technology of fabricating and measuring SiC aspheric surfaces are introduced and researched. The off-axis SiC aspheric mirror is ground and polished by computer controlled optical surfacing (CCOS) technology with a FSGJ-2 numerical control machine, the contour and optical parameters are measured and controlled by a coordinate measuring machine (CMM) and laser tracker. Finally, an example for fabricating and testing an off-axis parabolic mirror with an aperture of 820 mm is given. A null lens is specifically designed and customized in order to test the large aspheric mirror by interferometry and null compensation. The resulting PV and RMS of the surface error are

0.335 λ

and

0.018 λ

(

λ

is 632.8 nm), respectively, which meets the requirements of the optical design.

[\begin{matrix} X_{i} \\ Y_{i} \\ 1 \end{matrix}] = T \cdot [\begin{matrix} x_{i} \\ y_{i} \\ 1 \end{matrix}],

(1)

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T = [\begin{matrix} s_{i} \cdot \cos θ & - s_{i} \cdot \sin θ & t_{x} \\ s_{i} \cdot \sin θ & s_{i} \cdot \cos θ & t_{y} \\ 0 & 0 & 1 \end{matrix}],

(2)

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s_{i} = R_{i} / r_{i},

(3)

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r_{i} = \sqrt{{(x_{i} - x_{0})}^{2} + {(y_{i} - y_{0})}^{2}},

(4)

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R_{i} = \sqrt{{(X_{i} - X_{0})}^{2} + {(Y_{i} - Y_{0})}^{2}},

(5)

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R_{i} = a_{0} + a_{1} r_{i} + a_{2} r_{i}^{2} + a_{3} r_{i}^{3} + \dots

(6)

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\sum_{i}^{n} {[R_{i} - (a_{0} + a_{1} r_{i} + a_{2} r_{i}^{2} + a_{3} r_{i}^{3})]}^{2} = \min,

(7)

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[\begin{matrix} a_{0} \\ a_{1} \\ a_{2} \\ a_{3} \end{matrix}] = {[\begin{matrix} n & \sum r_{i} & \sum r_{i}^{2} & \sum r_{i}^{3} \\ \sum r_{i} & \sum r_{i}^{2} & \sum r_{i}^{3} & \sum r_{i}^{4} \\ \sum r_{i}^{2} & \sum r_{i}^{3} & \sum r_{i}^{4} & \sum r_{i}^{5} \\ \sum r_{i}^{3} & \sum r_{i}^{4} & \sum r_{i}^{5} & \sum r_{i}^{6} \end{matrix}]}^{- 1} [\begin{matrix} \sum R_{i} \\ \sum r_{i} R_{i} \\ \sum r_{i}^{2} R_{i} \\ \sum r_{i}^{3} R_{i} \end{matrix}] .

(8)

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[\begin{matrix} X_{i}^{'} \\ Y_{i}^{'} \end{matrix}] = [\begin{matrix} x_{i} \cdot s_{i} \cdot \cos θ - y_{i} \cdot s_{i} \cdot \sin θ + t_{x} \\ x_{i} \cdot s_{i} \cdot \sin θ + y_{i} \cdot s_{i} \cdot \cos θ + t_{y} \end{matrix}],

(9)

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\sum_{i = 1}^{M} ({(X_{i}^{'} - X_{i})}^{2} + {(Y_{i}^{'} - Y_{i})}^{2}) = \min,

(10)

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References (16)

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Xiaokun Wang. Manufacture of a large off-axis SiC parabolic mirror[J]. Chinese Optics Letters, 2015, 13(Suppl.): S22401

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