Zernike expansions for non-Kolmogorov turbulence

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 13, Issue 3, 1996, Pages 517-522

  Boreman, Glenn D ^a   Dainty, Christopher ^b  

^a UNIVERSITY OF CENTRAL FLORIDA   (United States)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Adaptive optics; Atmospheric turbulence; Non Kolmogorov; Zernike polynomials

Indexed keywords

EID: 0001204136     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.13.000517     Document Type: Article

References (17)

1. V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw Hill, New York, 1961), Chap. 2.
2. D. L. Fried, “Statistics of a geometric representation of wavefront distortion,” J. Opt. Soc. Am. 55, 1427–1435 (1965).
3. D. L. Fried, “Optical resolution through a randomly inho-mogeneous medium for very long and very short exposures,” J. Opt. Soc. Am. 56, 1372–1379 (1966).
4. F. Dalaudier, A. S. Gurvich, V. Kan, and C. Sidi, “Middle stratosphere temperature spectra observed with stellar scintillation and in situ techniques,” Adv. Space Res. 14, 61–64 (1994).
5. M. S. Belen’kii and A. S. Gurvich, “Influence of the stratospheric turbulence on infrared imaging,” in Atmospheric Propagation and Remote Sensing IV, J. C. Dainty, ed., Proc. Soc. Photo-Opt. Instrum. Eng. 2471, 260–271 (1995).
6. R. G. Buser, “Interferometric determination of the distance dependence of the phase structure function for near-ground horizontal propagation at 6326 A,” J. Opt. Soc. Am. 61, 488–491 (1971).
7. M. Bester, W. C. Danchi, C. G. Degiacomi, L. J. Greenhill, and C. H. Townes, “Atmospheric fluctuations—empirical structure functions and projected performance of future instruments,” Astrophys. J. 392, 357–374 (1992).
8. D. Dayton, B. Pierson, B. Spielbusch, and J. Gonglewski, “Atmospheric structure function measurements with a Shack-Hartmann wave-front sensor,” Opt. Lett. 17, 1737–1739 (1992).
9. A. I. Kon, “Qualitative theory of amplitude and phase fluctuations in a medium with anisotropic turbulent irregularities,” Waves Random Media 4, 297–306 (1994).
10. B. E. Stribling, B. M. Welsh, and M. C. Roggemann, “Optical propagation in non-Kolmogorov atmospheric turbulence,” in Atmospheric Propagation and Remote Sensing IV, J. C. Dainty, ed., Proc. Soc. Photo-Opt. Instrum. Eng. 2471, 181–196 (1995).
11. B. E. Stribling, “Laser beam propagation in non-Kolmogorov atmospheric turbulence,” M. S. thesis (Air Force Institute of Technology, Wright-Patterson Air Force Base, Ohio, 1994).
12. D. M. Winker, “Effect of a finite outer scale on the Zernike decomposition of atmospheric optical turbulence,” J. Opt. Soc. Am. A 8, 1568–1573 (1991).
13. T. W. Nicholls, G. D. Boreman, and J. C. Dainty, “Use of a Shack-Hartmann wave-front sensor to measure deviations from a Kolmogorov phase spectrum,” Opt. Lett. 20, 2460–2462 (1995).
14. R. J. Noll, “Zernike polynomials and atmospheric turbulence,” J. Opt. Soc. Am. 66, 207–211 (1976).
15. J. Y. Wang and J. K. Markey, “Modal compensation of atmospheric turbulence phase distortion,” J. Opt. Soc. Am. 68, 78–87 (1978).
16. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed. (Academic, New York, 1994), formula 6.574.2.
17. V. V. Voitsekhovich, “Outer scale of turbulence: comparison of different models,” J. Opt. Soc. Am. A 12, 1346–1353 (1995).