Algorithm for phasing a segmented mirror

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

1 Citation (Scopus)

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 languageEnglish
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsD.B. Calia, B.L. Ellerbroek, R. Ragazzoni
Pages1556-1563
Number of pages8
Volume5490
EditionPART 3
DOIs
Publication statusPublished - 2004
EventAdvancements in Adaptive Optics - Glasgow, United Kingdom
Duration: 21 Jun 200425 Jun 2004

Other

OtherAdvancements in Adaptive Optics
CountryUnited Kingdom
CityGlasgow
Period21.6.0425.6.04

Fingerprint

segmented mirrors
Mirrors
mirrors
iteration
interferometry
reflected waves
Radiation
wavelengths
Wavelength
dynamic range
Telescopes
telescopes
interference
radiation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Kanev, F. Y., Lukin, V. P., & Makenova, N. A. (2004). Algorithm for phasing a segmented mirror. In D. B. Calia, B. L. Ellerbroek, & R. Ragazzoni (Eds.), Proceedings of SPIE - The International Society for Optical Engineering (PART 3 ed., Vol. 5490, pp. 1556-1563). [185] https://doi.org/10.1117/12.552973

Algorithm for phasing a segmented mirror. / Kanev, F. Yu; Lukin, V. P.; Makenova, Nailya Altykhanovna.

Proceedings of SPIE - The International Society for Optical Engineering. ed. / D.B. Calia; B.L. Ellerbroek; R. Ragazzoni. Vol. 5490 PART 3. ed. 2004. p. 1556-1563 185.

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

Kanev, FY, Lukin, VP & Makenova, NA 2004, Algorithm for phasing a segmented mirror. in DB Calia, BL Ellerbroek & R Ragazzoni (eds), Proceedings of SPIE - The International Society for Optical Engineering. PART 3 edn, vol. 5490, 185, pp. 1556-1563, Advancements in Adaptive Optics, Glasgow, United Kingdom, 21.6.04. https://doi.org/10.1117/12.552973
Kanev FY, Lukin VP, Makenova NA. Algorithm for phasing a segmented mirror. In Calia DB, Ellerbroek BL, Ragazzoni R, editors, Proceedings of SPIE - The International Society for Optical Engineering. PART 3 ed. Vol. 5490. 2004. p. 1556-1563. 185 https://doi.org/10.1117/12.552973
Kanev, F. Yu ; Lukin, V. P. ; Makenova, Nailya Altykhanovna. / Algorithm for phasing a segmented mirror. Proceedings of SPIE - The International Society for Optical Engineering. editor / D.B. Calia ; B.L. Ellerbroek ; R. Ragazzoni. Vol. 5490 PART 3. ed. 2004. pp. 1556-1563
@inproceedings{b3eb6656554743fba4d959951235fd8a,
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",

}

TY - GEN

T1 - Algorithm for phasing a segmented mirror

AU - Kanev, F. Yu

AU - Lukin, V. P.

AU - Makenova, Nailya Altykhanovna

PY - 2004

Y1 - 2004

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.

UR - http://www.scopus.com/inward/record.url?scp=11144339343&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=11144339343&partnerID=8YFLogxK

U2 - 10.1117/12.552973

DO - 10.1117/12.552973

M3 - Conference contribution

AN - SCOPUS:11144339343

VL - 5490

SP - 1556

EP - 1563

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

A2 - Calia, D.B.

A2 - Ellerbroek, B.L.

A2 - Ragazzoni, R.

ER -