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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 3 — Mar. 1, 2006
  • pp: 539–543

Scaling Zernike expansion coefficients to smaller pupil sizes: a simpler formula

Guang-ming Dai  »View Author Affiliations

JOSA A, Vol. 23, Issue 3, pp. 539-543 (2006)

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In a recent paper [ J. Opt. Soc. Am. A 19, 1937 (2002) ] a recursive analytical formula was derived to calculate a set of new Zernike polynomial expansion coefficients from an original set when the size of the aperture is reduced. In the current paper I describe a more intuitive derivation of a simpler, nonrecursive formula, which is used to calculate the instantaneous refractive power.

© 2006 Optical Society of America

OCIS Codes
(000.3870) General : Mathematics
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(220.1010) Optical design and fabrication : Aberrations (global)
(330.4460) Vision, color, and visual optics : Ophthalmic optics and devices
(350.1260) Other areas of optics : Astronomical optics

ToC Category:
Vision, Color, and Visual Optics

Original Manuscript: August 12, 2005
Revised Manuscript: August 26, 2005
Manuscript Accepted: August 31, 2005

Virtual Issues
Vol. 1, Iss. 4 Virtual Journal for Biomedical Optics

Guang-ming Dai, "Scaling Zernike expansion coefficients to smaller pupil sizes: a simpler formula," J. Opt. Soc. Am. A 23, 539-543 (2006)

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