By Vladimir P. Lukin, Boris V. Fortes
End result of the broad program of adaptive optical structures, an knowing 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 constructed. This monograph includes specific 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 section Correction of Thermal Blooming of High-Power Beams
- A Reference Beacon as a Key section of an Adaptive Optics process
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Extra info for Adaptive Beaming and Imaging in the Turbulent Atmosphere
In a particular case in which a part of the energy of the wave to be corrected is directed onto the sensor of wavefront distortions, this wave also serves as a reference wave at the same time. In an image correction system such as a ground-based astronomical adaptive telescope, the source of the reference wave is either a natural or an artificial star. (We will return to this problem in Chapter 5). 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.
13) and corresponds to the spatial frequency k . The maximum spatial frequency that can be presented adequately on a grid with the step according to the Kotelnikov sampling theorem is equal to max / . 14) From the condition k max we have / k / 2 . 15) For the typical values of = 106 m and = 101 m, 5 106 1 arcsec. 16) At the same time, to estimate the effect of angular anisoplanatism on the quality of image correction, angular distances on the order of 10 arcsec are most significant from a practical viewpoint; therefore, calculations should be performed on a grid with a step of 102 m.
The problem of finding the optimal boundary conditions for the reference beam is not considered here because in practice it is usually impossible to create a reference wave with given boundary conditions. 2 Guide star in an adaptive telescope Consider now the problem of modeling a reference source in an adaptive image correction system. In this case, the reference wave and the wave to be corrected propagate in the same direction. In a particular case in which a part of the energy of the wave to be corrected is directed onto the sensor of wavefront distortions, this wave also serves as a reference wave at the same time.