Algorithm for phasing a segmented mirror

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)


This paper considers the problem of forming a preset surface of a segmented mirror of a telescope. An iteration algorithm based on analysis of the interference pattern of the radiation reflected from the mirror is used for phasing the mirror segments. At every iteration, the current interferogram is compared with the reference one obtained for the surface of a preset shape. The value of the control goal function, whose minimum is determined in the algorithm, decreases with the decreasing discrepancy between the interferograms. This technique provides for formation of a plane-reflecting surface of the mirror, if the relative displacement of segments does not exceed the half wavelength. It is shown that to extend the range of acceptable displacements, it is necessary to introduce additional sources of radiation of specially chosen wavelengths. In such a case, the dynamic range of the algorithm can be extended up to 30 μm.

Original languageEnglish
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsD.B. Calia, B.L. Ellerbroek, R. Ragazzoni
Number of pages8
EditionPART 3
Publication statusPublished - 2004
EventAdvancements in Adaptive Optics - Glasgow, United Kingdom
Duration: 21 Jun 200425 Jun 2004


OtherAdvancements in Adaptive Optics
CountryUnited Kingdom

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

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