21 December 1994 Adaptive compensation of light beam distortions by means of the simplex method
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Abstract
The high energy laser beam propagation though atmosphere is investigated by means of numerical simulation. The specific goal of the report is to develop and to approve the new algorithms of adaptive compensation of beam distortion associated with non-linear effects and atmospheric turbulence. The principle of aperture sounding is used for beam phase control in numerical model of adaptive array. The simplex method is chosen as a basis for control algorithm development. It is found that in regime of stationary wind refraction the simplex method ensures the greatest convergence rate over the gradient procedure. A comprehensive analysis of phase distortion structure in regime of nonstationary wind refraction allows to carry out adequate choice of control basis and to reduce number of controllable co-ordinates without degradation of correction quality. It is established also that it is possible to optimise the simplex size which is found to be depending on control duration and parameter of nonlinearity. For regime of wind velocity pulsations the alternating control strategy is worked out to compensate random wandering of the beam without control instability. It is also found that in presence of large-scale refractive index fluctuations the application of the simplex method does not degrade the compensation quality.
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Sergei S. Chesnokov, Sergei S. Chesnokov, Irina V. Davletshina, Irina V. Davletshina, } "Adaptive compensation of light beam distortions by means of the simplex method", Proc. SPIE 2312, Optics in Atmospheric Propagation and Random Phenomena, (21 December 1994); doi: 10.1117/12.197385; https://doi.org/10.1117/12.197385
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