By Vladimir P. Lukin, Boris V. Fortes
As a result extensive program of adaptive optical platforms, an figuring out of optical wave propagation in randomly inhomogeneous media has develop into crucial, and a number of other numerical types of person AOS parts and of effective correction algorithms were constructed. This monograph includes particular 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 part of an Adaptive Optics process
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Additional resources for Adaptive Beaming and Imaging in the Turbulent Atmosphere (SPIE Press Monograph Vol. PM109)
Extended Fourier approach,” J. Opt. Soc. 10, 1975. E. S. Chesnokov, “Model presentation of atmospheric distortions for numerical analysis of statistical characteristics of optical beams,” Atm. 1294–1297, 1991. V. P. Lukin, “Modeling of an image observed through a turbulent atmosphere,” Proc. SPIE Vol. 1688, pp. 477–488, 1992. J. Rickling, Modern Optics, 1995. W. A. Vorontsov, “Adaptive aberration correction based on opto-electronic Zernike wavefront sensor and the decoupled stochastic parallel gradient descent control technique,” Proc.
4. 5. 6. R. Buckley, “Diffraction by a random phase-changing screen: A numerical experiment,” J. Atm. 12, pp. 1431–1446, 1975. A. R. D. Feit, “Time-dependent propagation of a highenergy laser beam through the atmosphere,” Appl. , 10, No. 1, pp. 129–139, 1976. P. I. Z Ser. , 24, No. 4, pp. 434–442, 1981. A. Konyaev, “Modification of the splitting method for numerical solution of quasi-optical problems,” in Abstracts of Reports at the VI Conference on Laser Beam Propagation in the Atmosphere, pp.
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 . 13) This equation can be readily proved by calculating convolution through a Fourier transform. Therefore, Eq. 6) can be considered as a sequential convolution (in the beam cross section) of the initial Gaussian intensity distribution obtained by the ray-optics approximation, with functions that describe diffraction, partial coherence, or turbulent divergence.
Adaptive Beaming and Imaging in the Turbulent Atmosphere (SPIE Press Monograph Vol. PM109) by Vladimir P. Lukin, Boris V. Fortes