A Methodology for Measuring the Parameters of Large Concave Aspherical Mirrors by Means of a Wavefront Sensor


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Abstract

A methodology has been developed for measuring radius Rv and eccentricity (conic parameter k) of large concave aspherical mirrors using a wavefront sensor. Analytical expressions that directly relate Zernike coefficients a4 and a9 to parameters Rv and k of the mirror are obtained. It is shown that the technique does not require accurate mirror alignment before measurements. A computer analysis showed that the developed scheme enables measurements with errors of δRv < 0.1% and δk < 0.01 for mirrors with radii from 100 to 2000 mm and with errors of δRv < 0.01% and δk < 0.001 for mirrors with radii of more than 5000 mm.

About the authors

T. S. Piskunov

Bauman Moscow State Technical University

Author for correspondence.
Email: piskunov_t@bmstu.ru
Russian Federation, Moscow, 105005

N. V. Baryshnikov

Bauman Moscow State Technical University

Email: piskunov_t@bmstu.ru
Russian Federation, Moscow, 105005

I. V. Zhivotovskii

Bauman Moscow State Technical University

Email: piskunov_t@bmstu.ru
Russian Federation, Moscow, 105005

A. A. Sakharov

Bauman Moscow State Technical University

Email: piskunov_t@bmstu.ru
Russian Federation, Moscow, 105005

V. A. Sokolovskii

Bauman Moscow State Technical University

Email: piskunov_t@bmstu.ru
Russian Federation, Moscow, 105005

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