By Vladimir P. Lukin, Boris V. Fortes

As a result of extensive program of adaptive optical structures, an knowing of optical wave propagation in randomly inhomogeneous media has turn into crucial, and several other numerical types of person AOS parts and of effective correction algorithms were built. This monograph comprises distinct descriptions of the mathematical experiments that have been designed and conducted in the course of greater than a decade's worthy of research.

**Contents **

- Preface to the English variation

- creation

- 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 portion of an Adaptive Optics procedure

- end

- Index

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**Extra info for Adaptive Beaming and Imaging in the Turbulent Atmosphere**

**Example text**

20), we get U1 r (1 z ) n2 r n1 r (1 z ) U2 r 2ikU 2 z r U 2xx r U 2yy r . 21) The first fraction on the right-hand side of Eq. 21) follows from Eq. 11): U1 r (1 z ) 1 . 22) To calculate the second fraction, differentiate Eq. 11) with respect to z, x , and y2. 23) 1 z 2ikU1z r (1 z ) U1xx r (1 z ) U1yy r (1 z ) , 3 from which it is seen that the second fraction on the right-hand side of Eq.

19. 20. 21. 22. 23. 24. 25. 26. A. D. Duncan, “Simulation atmospherically degraded beams. II. Polynomial approach,” J. Opt. Soc. 1218, 1975. A. D. Duncan, “Simulation of atmospherically degraded beams. I. 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.

195–198, 1981. M. M. Flatte, “Intensity images and statistics from numerical simulation of wave propagation in 3-D random media,” Appl. 11, pp. 2111–2126, 1988. V. Bykov, Numerical Simulation in Statistical Radiotechnics, Sov. Radio, Moscow, 1971. Mathematical Simulation of Laser Beam Propagation in the Atmosphere 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. A. D. Duncan, “Simulation atmospherically degraded beams. II. Polynomial approach,” J. Opt. Soc. 1218, 1975.