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Volumn 2, Issue , 2007, Pages

Computing Zernike polynomials of arbitrary degree using the discrete Fourier transform

Author keywords

Aberration; Discrete Fourier transform; High order; NA scaling; Zernike polynomial

Indexed keywords

ABERRATIONS; NUMERICAL METHODS; OPTICAL SYSTEMS; POLYNOMIALS;

EID: 77954057782     PISSN: None     EISSN: 19902573     Source Type: Journal    
DOI: 10.2971/jeos.2007.07012     Document Type: Article
Times cited : (33)

References (11)
  • 1
    • 84887181299 scopus 로고    scopus 로고
    • (7th rev. ed., Ch. 9 and App. VII, Cambridge University Press, Cambridge, MA)
    • M. Born and E. Wolf, Principles of Optics (7th rev. ed., Ch. 9 and App. VII, Cambridge University Press, Cambridge, MA, 2001).
    • (2001) Principles of Optics
    • Born, M.1    Wolf, E.2
  • 3
    • 0028742976 scopus 로고
    • Zernike circle polynomials and optical aberrations of systems with circular pupils
    • V. N. Mahajan, "Zernike circle polynomials and optical aberrations of systems with circular pupils" Appl. Optics. 33, 8121-8124 (1994).
    • (1994) Appl. Optics. , vol.33 , pp. 8121-8124
    • Mahajan, V.N.1
  • 4
    • 0016932959 scopus 로고
    • Zernike polynomials and atmospheric turbulence
    • R. J. Noll, "Zernike polynomials and atmospheric turbulence" J. Opt. Soc. Am. 66, 207-211 (1976).
    • (1976) J. Opt. Soc. Am. , vol.66 , pp. 207-211
    • Noll, R.J.1
  • 5
    • 84995298188 scopus 로고    scopus 로고
    • See http://www.nijboerzernike.nl.
  • 6
    • 84975534731 scopus 로고
    • Algorithm for computation of Zernike polynomials expansion coefficients
    • A. Prata and W. V. T. Rusch, "Algorithm for computation of Zernike polynomials expansion coefficients" Appl. Optics 28, 749-754 (1989).
    • (1989) Appl. Optics , vol.28 , pp. 749-754
    • Prata, A.1    Rusch, W.V.T.2
  • 7
    • 84966258414 scopus 로고
    • A stochastic roundoff error analysis for the Fast Fourier Transform
    • D. Calvetti, "A stochastic roundoff error analysis for the Fast Fourier Transform" Math. Comput. 56, 755-774 (1991).
    • (1991) Math. Comput. , vol.56 , pp. 755-774
    • Calvetti, D.1
  • 8
    • 84995288768 scopus 로고    scopus 로고
    • See http://en.wikipedia.org/wiki/Fast. Fourier.transform.
  • 9
    • 33845385806 scopus 로고    scopus 로고
    • Concise formula for the Zernike coefficients of scaled pupils
    • A. J. E. M. Janssen and P. Dirksen, "Concise formula for the Zernike coefficients of scaled pupils", J. Microlith. Microfab. Microsyst. 5, 030501 (2006).
    • (2006) J. Microlith. Microfab. Microsyst. , vol.5 , pp. 030501
    • Janssen, A.J.E.M.1    Dirksen, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.