Simulation of phase correction of sinusoidal distortions in the adaptive optical system with finite operation speed

Abstract

The numerical study of the efficiency of correction of sinusoidal phase distortions in the adaptive optical system with a finite response time (finite operation speed) has been performed. It has been shown that the operation of the adaptive optical system does not affect the beam quality at the ratio of the adaptive optical system bandwidth to the frequency of sinusoidal distortions νAOS / νturb < 1, laser beam is not corrected. The exceed of divergence over the initial value is observed as the result of correction at the increasing of νAOS / νturb from 1 to 6. The increasing of divergence has replaced by its monotonous decline at νAOS / νturb = 2.5. The decrease in the laser beam divergence relative to the initial value has been observed at νAOS / νturb > 6. The average Strehl ratio upon correction reaches 0.65, and the divergence of the laser radiation exceeds the diffraction limit by a factor of 2 at νAOS / νturb =100. Calculations show that phase distortions with the temporal spectrum in the form of a frequency band with a characteristic frequency νturb require a lower bandwidth νAOS for correction than single-frequency phase distortions with the same νturb.