Zernike polynomials and atmospheric turbulence

Details Zernike polynomials and atmospheric turbulence Zernike polynomials and atmospheric turbulence

Mar 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976josa...66..207n&link_type=abstract

Optical Society of America, Journal, vol. 66, Mar. 1976, p. 207-211.

Physics

Optics

380

Atmospheric Optics, Atmospheric Turbulence, Polynomials, Turbulence Effects, Wave Front Deformation, Aberration, Kolmogoroff Theory, Matrices (Mathematics), Optical Correction Procedure, Statistical Analysis

Scientific paper

A review of Zernike polynomials is presented, with special emphasis on nomenclature. Some new properties of Zernike polynomials such as integral representations and derivatives are discussed. The work of Fried is extended by developing a Zernike representation of the Kolmogorov spectrum of turbulence, which permits analytical calculation of all the statistical aberration strengths. It is found that the Zernike polynomials are suitable for analytical evaluation of the residual wave-front error for any number of independent errors.

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