"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 12, 2017

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UDC 681.7.012

Algorithm of finding aberration coefficients for space opto-electronic devices


E. V. Seliverstova 1,2, G. A. Shcherbina 1,2, B.M. Shurygin 1

1 Moscow Institute of Physics and Technologies, Institutskiy per 9, Dolgoprudny, Moscow Region, 141701, Russian Federation

2 Scientific Production Association «Lepton», Zelenograd


The paper is received on December 11, 2017


Abstract. This paper describes an algorithm of searching the aberration coefficients from defocused image of a point source. In proposed approach, the wave front aberrations which are caused by optics misalignment are represented by Zernike polynomials. Zernike polynomials coefficients which indicate lens alignment can act as criteria of an optical systems quality. Implementation of the algorithm requires the ‘direct task’ solution in order to get the aberrated image using the values of the Zernike coefficients. In the article several possible approaches to obtain the image of a point spread function which is calculated from the values of the Zernike’s coefficients are presented: geometric, diffraction by the Kirchhoff integral, diffraction by Nijboer-Zernike approach. Comparison of the methods mentioned above was made at the base of the algorithm’s time response and the resulting image accuracy. Algorithm proposed for finding aberrational Zernike coefficients is based on the ‘direct task’ solution and comparison based on the discrepancy criterion between obtained image and the actual image of the real lens step-by-step. The geometrical approach was used for the ‘direct task’ solution as the fastest and ideologically simplest algorithm. The approach was tested on the axial catadioptric Ritchey–Chrétien lens. Estimation of the Zernike coefficients gives an ability to define current relative positions of the lens optical components. This allows the system’s alignment to be done.

Key words: aberration, Zernike polynomials, lens adjustment, Earth remote sensing.


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For citation:
E. V. Seliverstova, G. A. Shcherbina, B.M. Shurygin. Algorithm of finding aberration coefficients for space opto-electronic devices. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2017. No. 12. Available at http://jre.cplire.ru/jre/dec17/8/text.pdf.