By Vladimir P. Lukin, Boris V. Fortes
A result of broad software of adaptive optical structures, an realizing 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 includes exact 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 procedure
- Adaptive Imaging
- Minimization and section Correction of Thermal Blooming of High-Power Beams
- A Reference Beacon as a Key component to an Adaptive Optics process
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Additional info for Adaptive Beaming and Imaging in the Turbulent Atmosphere
Welsh, Imaging Through Turbulence, CRC Press, Boca Raton, FL, 1996. M. Martin, M. Flatte, “Simulation of point-source scintillation through three-dimensional random media,” J. Opt. Soc. Am. A 7, pp. 838–847, 1990. A. P. S. A. Shlenov, “Adaptive focusing of intensive light beams propagating in non-regular media,” Fizika, 228, pp. 30–41, 1985. P. A. Konyaev, “Thermal distortions of focused laser beams in the atmosphere,” Appl. , 24, pp. 415–421, 1985. P. V. Fortes, “Phase distortions of an optical beam due to its self-action under conditions of gravitational convection,” Atm.
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. 21) is equal to 1 exp k 2 (1 z ) 2 . 24) Substituting Eqs. 24) into Eq. 21), we find the relation sought: Mathematical Simulation of Laser Beam Propagation in the Atmosphere n2 r 1 1 z 2 n1 r (1 z ) .
This is possible because at every cycle along the abscissa with the duration Tx ( N ) / Vx , the phase screen shifts along the ordinate by Dy TxVy . The period of exact recurrence is determined by the following condition: nVyTx mN , where n and m are even numbers. And, hence, nVyTx nVy ( N ) / Vx mN nVy nVx n mVx / Vy mctg . 40) with the corresponding parameters obtained theoretically in  and . The calculated values of the integral variance of the approximation error obtained by averaging over 100 realizations are shown in Fig.