Temporal analysis of stellar wave-front-tilt data

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

Volumn 14, Issue 8, 1997, Pages 1967-1974

  McGaughey, Donald R ^a   Aitken, George J M ^a  

^a QUEEN S UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005737870     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.14.001967     Document Type: Article

References (26)

1. J. W. Goodman, in Statistcial Optics (Wiley, New York, 1985), pp. 429–431.
2. P. M. Harrington and B. M. Welsh, “Frequency-domain analysis of an adaptive optical system’s temporal response,” Opt. Eng. 33, 2336–2342 (1994).
3. C. Schwartz, G. Baum, and E. N. Ribak, “Turbulence-degraded wave fronts as fractal surfaces,” J. Opt. Soc. Am. A 11, 444–451 (1994).
4. E. E. Peters, Fractal Market Analysis (Wiley, New York, 1994).
5. B. B. Mandelbrot and J. V. Ness, “Fractional Brownian motions, fractional noises and applications,” SIAM Rev. 10, 422–437 (1968).
6. M. Jorgenson and G Aitken, “Prediction of atmospherically induced wave-front degradations,” Opt. Lett. 17, 466–468 (1992).
7. G. Aitken and D. McGaughey, “Predictability of atmospherically-distorted stellar wavefronts” in Adaptive Optics, M. Cullum, ed. (European Southern Observatory, Garchingbei Munchen, Germany, 1996), pp. 89–94.
8. M. Jorgenson, G. Aitken, and E. Hege, “Evidence of a chaotic attractor in starwander data,” Opt. Lett. 16, 64–66 (1991)
9. A. Armitage, Y. Guillo, and F. Meyer, “Progress with a neural network in astronomical control,” in Practical Applications of Neural Networks in Control (IMC Symposium, London, 1994).
10. M. Lloyd-Hart and P. McGuire, “Spatio-temporal prediction for adaptive optics wavefront reconstructors,” in Adaptive Optics, M. Cullum, ed. (European Southern Observatory, Garching bei Munchen, Germany, 1996), pp. 95–101.
11. B. B. Mandelbrot, The Fractal Geometry of Nature (W. H. Freeman, New York, 1983), pp. 248–255 and 386–387.
12. P. Grassberger and I. Proccaccia, “Characterization of strange attractors,” Phys. Rev. Lett. 50, 346–349 (1983).
13. J.-M. Conan, G. Rousset, and P.-Y. Madec, “Wave-front temporal spectra in high-resolution imaging through turbulence,” J. Opt. Soc. Am. A 12, 1559–1570 (1995).
14. H.-O. Peitgen and D. Saupe, eds., The Science of Fractal Images (Springer-Verlag, New York, 1988).
15. H. E. Hurst, “Long-term storage capacity of reservoirs,” Trans. Am. Soc. Civil Engineers 116, 770–808 (1951).
16. “noise,” Phys. Lett. A 135, 480–493 (1991).
17. J. Theiler, “Estimating the fractal dimension of chaotic time series,” Lincoln Lab. J. 3, 63–85 (1990).
18. F. Takens, “Detecting strange attractors in turbulence,” in Dynamical Systems and Turbulence, D. Rank and L. S. Young, eds. (Springer-Verlag, Berlin, 1981), pp. 366–381.
19. J. Theiler, “Estimating fractal dimension,” J. Opt. Soc. Am. A 7, 1055–1073 (1990).
20. J. Theiler, B. Galdrikian, A. Longtin, S. Eubank, and J. D. Farmer, “Using surrogate data to detect nonlinear relationships between time series,” in Non-Linear Modeling and Forecasting, Vol. XII of SFI Studies in the Sciences of Complexity (Addison-Wesley, Reading, Mass., 1992).
21. G. Rousset, J. C. Fontanella, P. Kern, P. Lena, P. Gigan, F. Rigaut, J. P. Gaffard, C. Boyer, P. Jagourel, and F. Merkle, in Amplitude and Intensity Spatial Interferometry, J. B. Breckinridge, ed. Proc. SPIE 1237, 336–344 (1990).
22. F. Roddier, “The effects of atmospheric turbulence on optical astronomy,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1981), Vol. 19, pp. 281–376.
23. M. R. Dennis Montera, B. Welsh, and D. Ruck, “Processing wave-front slope measurements using artificial neural networks,” Appl. Opt. 35, 4238–4251 (1996).
24. A. G. R. G. Lane and J. C. Dainty, “Simulation of Kolmog-orov phase screens,” Waves Random Media 2, 209–224 (1992)
25. B. Friedlander and B. Porat, “The modified Yule-Walker method of ARMA spectral estimation,” IEEE Trans. Aerosp. Electron. Syst. AES-20, 158–173 (1984).
26. D. P. Greenwood and D. L. Fried, “Power spectra require-ments for wave-front-compensation systems,” J. Opt. Soc. Am. 66, 193–206 (1976).