By Vladimir P. Lukin, Boris V. Fortes
Because of the large program of adaptive optical structures, an figuring out of optical wave propagation in randomly inhomogeneous media has develop into crucial, and several other numerical versions of person AOS parts and of effective correction algorithms were built. This monograph includes certain descriptions of the mathematical experiments that have been designed and conducted in the course of greater than a decade's worthy of research.
- Preface to the English version
- Mathematical Simulation of Laser Beam Propagation within the surroundings
- Modeling an Adaptive Optics method
- Adaptive Imaging
- Minimization and part Correction of Thermal Blooming of High-Power Beams
- A Reference Beacon as a Key component of an Adaptive Optics procedure
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Extra info for Adaptive Beaming and Imaging in the Turbulent Atmosphere
A detailed description of this procedure is given by Roddier in Ref. . A more complicated problem arises in the case of dynamic simulation. Sometimes orthogonalization of the correlation matrix is impossible because polynomial coefficients with different angular components are correlated as well. Note that the correlation function for the coefficients of two polynomials with the same radial n and angular m indices takes the form Mathematical Simulation of Laser Beam Propagation in the Atmosphere 29 Bl l () 8(n 1)(1)n m (1)m 2m 0 1 J n21 ( R) J 2 m ( V )sin(2m).
18). The precision of the simulation was verified by comparing the variance of the random realizations obtained with the variance calculated by Eq. 12). At L0 < 100R the difference did not exceed 5%, and at L0 > 100R it increased quickly because of the growing calculation error of the integral in Eq. 18). 4 Modification of the Numerical Model for Partially Coherent Beams In the preceding sections we considered propagation of coherent beams. However, the radiation divergence for real laser sources is always greater than the diffraction limit.
J. 6 m km on the far-field irradiance distribution,” J. Opt. Soc. , 62, No. 3, pp. 373–378, 1972. 53. I. Talanov, “Focusing of light in cubic media,” Pis’ma JETF, 11, pp. 303–305, 1970. 54. V. Ustinov, “Application of Talanov’s coordinates transformation for calculation of a thermal blooming optical beam in a gas jet,” Izv. Z. , 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.