AbstractA methodology has been developed for measuring radius R _v and eccentricity (conic parameter k ) of large concave aspherical mirrors using a wavefront sensor. Analytical expressions that directly relate Zernike coefficients a _4 and a _9 to parameters R _v 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 δ R _v < 0.1% and δ k < 0.01 for mirrors with radii from 100 to 2000 mm and with errors of δ R _v < 0.01% and δ k < 0.001 for mirrors with radii of more than 5000 mm.

A technique has been developed for measuring the radii of curvature of optical parts. A scheme of the device based on a wavefront sensor is proposed, which is characterized by a minimum measurement error. The theoretical substantiation of the measurement technique is given. A number of methods that make it possible to measure the radii of curvature of optical parts are considered. The reasons for an increase in the measurement error are analyzed. The results of measurements according to the given methodology with an original prototype device are considered.

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.

AbstractA technique has been developed for measuring the radii of curvature of optical parts. A scheme of the device based on a wavefront sensor is proposed, which is characterized by a minimum measurement error. The theoretical substantiation of the measurement technique is given. A number of methods that make it possible to measure the radii of curvature of optical parts are considered. The reasons for an increase in the measurement error are analyzed. The results of measurements according to the given methodology with an original prototype device are considered.

The precision characteristics of devices based on two pairs of pentaprisms for parallel transfer of a beam of laser radiation are considered. The structure of the error of such devices is investigated. The article proposes a mathematical model by means of which the precision requirements of the initial setting of the pentaprisms and an algorithm for compensation of the error of parallel transfer by initial adjustment of the system may be determined.

Highly accurate laser optoelectronic instruments with automatic adjustment systems are considered, which provide high accuracy in the angular adjustment of the axes of their receiving-transmitting channels. A procedure for designing a high-precision parallel-transfer device, based on two pairs of pentaprisms, necessary to ensure the operation of this system, is investigated. The effect of the system for measuring the angular coordinates of the radiation beam on the operating stability of the instruments is considered. A detailed analysis of the probability of signal loss due to the effect of vibrations on the system is presented.

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