By Vladimir P. Lukin, Boris V. Fortes
As a result of large program of adaptive optical structures, an figuring out of optical wave propagation in randomly inhomogeneous media has turn into crucial, and several other numerical versions of person AOS elements and of effective correction algorithms were constructed. This monograph comprises targeted 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 process
- Adaptive Imaging
- Minimization and part Correction of Thermal Blooming of High-Power Beams
- A Reference Beacon as a Key portion of an Adaptive Optics procedure
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Extra info for Adaptive Beaming and Imaging in the Turbulent Atmosphere (SPIE Press Monograph Vol. PM109)
In the case of a random phase screen, the result obtained coincides absolutely with the analytical equation written above. Consider now the proposed modification. As described earlier, the wave equation is solved for a coherent beam. 11) I (, z ) E (, z ) W (, z ) , where refers to convolution. 12) and solving the problem of diffraction of a partially coherent beam in a vacuum, we obtain results that are exactly the same as those obtained with the use of the analytical equation. Indeed, convolution of two Gaussian functions with widths a1 and a2 is a Gaussian function with the square width equal to the sum of the square widths of these two functions: exp 2 a12 exp 2 a22 const exp 2 a12 a22 .
A. Ishimaru, Wave Propagation and Scattering in Random Media, Academic Press, New York, 1977. W. , Laser Beam Propagation in the Atmosphere, SpringerVerlag, Berlin-Heidelberg-New York, 1978. L. B. W. Strohben, Springer-Verlag, Berlin-Heidelberg-New York, 1978. I. Marchuk, Methods of Numerical Mathematics, Nauka, Moscow, 1980. A. Konyaev, “Numerical solution of diffraction problems on a random phase screen,” in Abstracts of Reports at the V Conference on Laser Beam Propagation in the Atmosphere, pp.
For a natural star, the main sources of the residual error of correction are angular anisoplanatism [14-18] and quantum noise connected with low radiation intensity. For an artificial (laser) guide star, the error of correction is connected with an additional (other) type of anisoplanatism caused by the fact that the divergent reference wave and the plane wave to be corrected pass through different turbulent inhomogeneities. Another Modeling an Adaptive Optics System 51 source of error is jitter in the location of the artificial star, which makes it impossible to correct the global tilt.