Merit function regression method for efficient alignment control of two-mirror optical systems

Seonghui Kim, Ho Soon Yang, Yun Woo Lee, Sug Whan Kim

Research output: Contribution to journalArticle

62 Citations (Scopus)

Abstract

The precision alignment of high-performance, wide-field optical systems is generally a difficult and often laborious process. We report a new merit function regression method that has the potential to bring to such an optical alignment process higher efficiency and accuracy than the conventional sensitivity table method. The technique uses actively damped least square algorithm to minimize the Zernike coefficient-based merit function representing the difference between the designed and misaligned optical wave fronts. The application of this method for the alignment experiment of a Cassegrain type collimator of 900mm in diameter resulted in a reduction of the mean system rms wave-front error from 0.283λ to 0.194λ, and in the field dependent wave-front error difference from ±0.2λ, to ±0.014λ in just two alignment actions. These results demonstrate a much better performance than that of the conventional sensitivity table method simulated for the same steps of experimental alignment.

Original languageEnglish
Pages (from-to)5059-5068
Number of pages10
JournalOptics Express
Volume15
Issue number8
DOIs
Publication statusPublished - 2007 Apr 16

Fingerprint

regression analysis
alignment
mirrors
wave fronts
sensitivity
collimators
coefficients

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

Kim, Seonghui ; Yang, Ho Soon ; Lee, Yun Woo ; Kim, Sug Whan. / Merit function regression method for efficient alignment control of two-mirror optical systems. In: Optics Express. 2007 ; Vol. 15, No. 8. pp. 5059-5068.
@article{8b9f8dd71e63441c9c2910232c3d47b5,
title = "Merit function regression method for efficient alignment control of two-mirror optical systems",
abstract = "The precision alignment of high-performance, wide-field optical systems is generally a difficult and often laborious process. We report a new merit function regression method that has the potential to bring to such an optical alignment process higher efficiency and accuracy than the conventional sensitivity table method. The technique uses actively damped least square algorithm to minimize the Zernike coefficient-based merit function representing the difference between the designed and misaligned optical wave fronts. The application of this method for the alignment experiment of a Cassegrain type collimator of 900mm in diameter resulted in a reduction of the mean system rms wave-front error from 0.283λ to 0.194λ, and in the field dependent wave-front error difference from ±0.2λ, to ±0.014λ in just two alignment actions. These results demonstrate a much better performance than that of the conventional sensitivity table method simulated for the same steps of experimental alignment.",
author = "Seonghui Kim and Yang, {Ho Soon} and Lee, {Yun Woo} and Kim, {Sug Whan}",
year = "2007",
month = "4",
day = "16",
doi = "10.1364/OE.15.005059",
language = "English",
volume = "15",
pages = "5059--5068",
journal = "Optics Express",
issn = "1094-4087",
publisher = "The Optical Society",
number = "8",

}

Merit function regression method for efficient alignment control of two-mirror optical systems. / Kim, Seonghui; Yang, Ho Soon; Lee, Yun Woo; Kim, Sug Whan.

In: Optics Express, Vol. 15, No. 8, 16.04.2007, p. 5059-5068.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Merit function regression method for efficient alignment control of two-mirror optical systems

AU - Kim, Seonghui

AU - Yang, Ho Soon

AU - Lee, Yun Woo

AU - Kim, Sug Whan

PY - 2007/4/16

Y1 - 2007/4/16

N2 - The precision alignment of high-performance, wide-field optical systems is generally a difficult and often laborious process. We report a new merit function regression method that has the potential to bring to such an optical alignment process higher efficiency and accuracy than the conventional sensitivity table method. The technique uses actively damped least square algorithm to minimize the Zernike coefficient-based merit function representing the difference between the designed and misaligned optical wave fronts. The application of this method for the alignment experiment of a Cassegrain type collimator of 900mm in diameter resulted in a reduction of the mean system rms wave-front error from 0.283λ to 0.194λ, and in the field dependent wave-front error difference from ±0.2λ, to ±0.014λ in just two alignment actions. These results demonstrate a much better performance than that of the conventional sensitivity table method simulated for the same steps of experimental alignment.

AB - The precision alignment of high-performance, wide-field optical systems is generally a difficult and often laborious process. We report a new merit function regression method that has the potential to bring to such an optical alignment process higher efficiency and accuracy than the conventional sensitivity table method. The technique uses actively damped least square algorithm to minimize the Zernike coefficient-based merit function representing the difference between the designed and misaligned optical wave fronts. The application of this method for the alignment experiment of a Cassegrain type collimator of 900mm in diameter resulted in a reduction of the mean system rms wave-front error from 0.283λ to 0.194λ, and in the field dependent wave-front error difference from ±0.2λ, to ±0.014λ in just two alignment actions. These results demonstrate a much better performance than that of the conventional sensitivity table method simulated for the same steps of experimental alignment.

UR - http://www.scopus.com/inward/record.url?scp=34247259037&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34247259037&partnerID=8YFLogxK

U2 - 10.1364/OE.15.005059

DO - 10.1364/OE.15.005059

M3 - Article

C2 - 19532755

AN - SCOPUS:34247259037

VL - 15

SP - 5059

EP - 5068

JO - Optics Express

JF - Optics Express

SN - 1094-4087

IS - 8

ER -