By Vladimir P. Lukin, Boris V. Fortes
A result of huge program of adaptive optical structures, an realizing of optical wave propagation in randomly inhomogeneous media has develop into crucial, and a number of other numerical versions of person AOS elements and of effective correction algorithms were built. This monograph includes certain descriptions of the mathematical experiments that have been designed and performed in the course of greater than a decade's worthy of research.
- Preface to the English variation
- Mathematical Simulation of Laser Beam Propagation within the surroundings
- Modeling an Adaptive Optics procedure
- Adaptive Imaging
- Minimization and part Correction of Thermal Blooming of High-Power Beams
- A Reference Beacon as a Key section of an Adaptive Optics approach
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Additional info for Adaptive Beaming and Imaging in the Turbulent Atmosphere (SPIE Press Monograph Vol. PM109)
In all figures the lower curves correspond to L0/D = 1, the upper curves to L0/D = 10, and the medium curves to L0/D = 3; D is the aperture diameter. 2. Random temporal samples of tilt and defocusing coefficients: an an n , t t V R ; n is the standard deviation; L0/D = 10. The numbers in parentheses above the curves correspond to radial order, azimuth frequency, and parity parameter. 3. Dynamics of a phase screen obtained by summing linear and quadratic aberrations with small-scale distortions generated by the spectral sample method.
34, pp. 40–46, 1991. 55. Y. K. Markey, “Modal compensation of atmospheric turbulence phase distortion,” J. Opt. Soc. , 68, pp. 78–87, 1978. 56. S. Komarov, G. Ya. , in: Third All-Union Conference on Atmospheric Optics and Actinometry, Part 2, Abstracts, pp. 227–229, 1983. 57. S. A. I. V. Blakhovskaya, in Seventh All-Union Symposium on Laser and Acoustic Sounding of the Atmosphere, Part 2, Abstracts, IAO, Siberian Branch of the Russian Academy of Sciences, Tomsk, pp. 248-251, 1982. 58. S. , Statistical Characteristics of Temperature and Humidity Fields in the Atmosphere of the Northern Hemisphere, Part 4, Handbook, Gidrometeoizdat, Leningrad, 1981.
In other cases the correlation is zero. For dynamic simulation, we also need to know the autocorrelation functions of the expansion coefficients Bl al t al t . 15) Bl Ql F exp i V d 2 . 16) J n21 ( R) J ( V ) (1) m l cos(2m) J 2 m ( V )(1 m 0 ) . 17) where is the temporal frequency. Substituting Bl () from Eq. 17) into Eq. 18) which can be used to generate random temporal realizations of the expansion coefficients. However, a difficulty arises that is due to correlation of the expansion coefficients in terms of the Zernike polynomials.