Zernike Expansions For Non-Kolmogorov Turbulence
Abbreviated Journal Title
J. Opt. Soc. Am. A-Opt. Image Sci. Vis.
atmospheric turbulence; Zernike polynomials; non-Kolmogorov; adaptive; optics; ATMOSPHERIC-TURBULENCE
We investigate the expression of non-Kolmogorov turbulence in terms of Zernike polynomials. Increasing the power-law exponent of the three-dimensional phase power spectrum from 2 to 4 results in a higher proportion of wave-front energy being contained in the tilt components. Closed-form expressions are given for the variances of the Zernike coefficients in this range. For exponents greater than 4 a von Karman spectrum is used to compute the variances numerically as a function of exponent for different outer-scale lengths. We find in this range that the Zernike-coefficient variances depend more strongly on outer scale than on exponent and that longer outer-scale lengths lead to more energy in the tilt terms. The scaling of Zernike-coefficient variances with pupil diameter is an explicit function of the exponent.
Journal of the Optical Society of America a-Optics Image Science and Vision
"Zernike Expansions For Non-Kolmogorov Turbulence" (1996). Faculty Bibliography 1990s. 1554.