Study on wavefront fitting using Zernike polynomials

Wei Zhang; Jian Feng Liu; Fu Nian Long; Zhi Le Wang

Study on wavefront fitting using Zernike polynomials

Wei Zhang^*
, Jian Feng Liu
, Fu Nian Long
, Zhi Le Wang

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

Both radial errors with different spatial frequencies and local errors with different aperture sizes were fitted using Zernike polynomials. Householder transformation method was applied to work out Zernike coefficients, getting the RMS value of fitting errors. The limitation of Zernike polynomials was analyzed. The results showed that the maximum spatial frequency limits the fitting accuracy of radial errors, and the aperture size limits the fitting accuracy of local errors, generating extra ripples.

Original language	English
Pages (from-to)	675-678
Number of pages	4
Journal	Guangxue Jishu/Optical Technique
Volume	31
Issue number	5
State	Published - Sep 2005

Keywords

Local errors
Radial errors
Wavefront fitting
Zernike polynomials

Cite this

@article{b8f4a0d38223498593cc47c965e59357,

title = "Study on wavefront fitting using Zernike polynomials",

abstract = "Both radial errors with different spatial frequencies and local errors with different aperture sizes were fitted using Zernike polynomials. Householder transformation method was applied to work out Zernike coefficients, getting the RMS value of fitting errors. The limitation of Zernike polynomials was analyzed. The results showed that the maximum spatial frequency limits the fitting accuracy of radial errors, and the aperture size limits the fitting accuracy of local errors, generating extra ripples.",

keywords = "Local errors, Radial errors, Wavefront fitting, Zernike polynomials",

author = "Wei Zhang and Liu, \{Jian Feng\} and Long, \{Fu Nian\} and Wang, \{Zhi Le\}",

year = "2005",

month = sep,

language = "英语",

volume = "31",

pages = "675--678",

journal = "Guangxue Jishu/Optical Technique",

issn = "1002-1582",

publisher = "Optical Technique",

number = "5",

}

TY - JOUR

T1 - Study on wavefront fitting using Zernike polynomials

AU - Zhang, Wei

AU - Liu, Jian Feng

AU - Long, Fu Nian

AU - Wang, Zhi Le

PY - 2005/9

Y1 - 2005/9

N2 - Both radial errors with different spatial frequencies and local errors with different aperture sizes were fitted using Zernike polynomials. Householder transformation method was applied to work out Zernike coefficients, getting the RMS value of fitting errors. The limitation of Zernike polynomials was analyzed. The results showed that the maximum spatial frequency limits the fitting accuracy of radial errors, and the aperture size limits the fitting accuracy of local errors, generating extra ripples.

AB - Both radial errors with different spatial frequencies and local errors with different aperture sizes were fitted using Zernike polynomials. Householder transformation method was applied to work out Zernike coefficients, getting the RMS value of fitting errors. The limitation of Zernike polynomials was analyzed. The results showed that the maximum spatial frequency limits the fitting accuracy of radial errors, and the aperture size limits the fitting accuracy of local errors, generating extra ripples.

KW - Local errors

KW - Radial errors

KW - Wavefront fitting

KW - Zernike polynomials

UR - https://www.scopus.com/pages/publications/26844447538

M3 - 文章

AN - SCOPUS:26844447538

SN - 1002-1582

VL - 31

SP - 675

EP - 678

JO - Guangxue Jishu/Optical Technique

JF - Guangxue Jishu/Optical Technique

IS - 5

ER -

Study on wavefront fitting using Zernike polynomials

Abstract

Keywords

Other files and links

Fingerprint

Cite this