Algorithm for phasing a segmented mirror

Abstract

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 language	English
Title of host publication	Proceedings of SPIE - The International Society for Optical Engineering
Editors	D.B. Calia, B.L. Ellerbroek, R. Ragazzoni
Pages	1556-1563
Number of pages	8
Volume	5490
Edition	PART 3
DOIs	https://doi.org/10.1117/12.552973
Publication status	Published - 2004
Event	Advancements in Adaptive Optics - Glasgow, United Kingdom Duration: 21 Jun 2004 → 25 Jun 2004

Other

Other	Advancements in Adaptive Optics
Country	United Kingdom
City	Glasgow
Period	21.6.04 → 25.6.04

ASJC Scopus subject areas

Electrical and Electronic Engineering
Condensed Matter Physics

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10.1117/12.552973

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title = "Algorithm for phasing a segmented mirror",

abstract = "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.",

author = "Kanev, {F. Yu} and Lukin, {V. P.} and Makenova, {Nailya Altykhanovna}",

year = "2004",

doi = "10.1117/12.552973",

language = "English",

volume = "5490",

pages = "1556--1563",

editor = "D.B. Calia and B.L. Ellerbroek and R. Ragazzoni",

booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",

edition = "PART 3",

note = "Advancements in Adaptive Optics ; Conference date: 21-06-2004 Through 25-06-2004",

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T1 - Algorithm for phasing a segmented mirror

AU - Kanev, F. Yu

AU - Lukin, V. P.

AU - Makenova, Nailya Altykhanovna

PY - 2004

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N2 - 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.

AB - 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.

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BT - Proceedings of SPIE - The International Society for Optical Engineering

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