Zernike aberration coefficients transformed to and from Fourier series coefficients for wavefront representation

Optics Letters

Volumn 31, Issue 4, 2006, Pages 501-503

  Dai, Guang Ming ^a  

^a Advanced Medical Optics Inc   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EXPANSION COEFFICIENTS; RECONSTRUCTIONS; ZERNIKE ABERRATION COEFFICIENTS;

FOURIER TRANSFORMS; POLYNOMIALS; WAVEFRONTS;

MATHEMATICAL TRANSFORMATIONS;

EID: 33644913155     PISSN: 01469592     EISSN: None     Source Type: Journal    
DOI: 10.1364/OL.31.000501     Document Type: Article

References (10)

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4. F. Roddier and C. Roddier, Appl. Opt. 30, 1325 (1991).
5. L. A. Poyneer, M. Troy, B. Macintosh, and D. T. Gavel, Opt. Lett. 28, 798 (2003).
6. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Formulas, Graphs, and Mathematical Tables (Dover, 1972), formulas 9.1.44, 9.1.45, and 11.4.6.
7. R. J. Noll, J. Opt. Soc. Am. 66, 207 (1976).
8. Equation (8) in Ref. 7 has an extra multiplication factor of 1/π.
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10. V. N. Mahajan, in Proc. SPIE 5173, 1 (2003).