Measurement method of response matrix for adaptiveoptics systems based on turbulence model

In order to improve the correction accuracy of liquid crystal (LC) adaptive optical systems, a method based on turbulence model for measuring the interaction matrix (IM) was proposed. The wavefronts applied to the LC corrector are the linear combination of Karhunen-Loeve modes which are used to fit the measured aberrations and the coefficients of these modes obey the Kolmogorov atmospheric turbulence model. Comparing with traditional single mode and multiple modes method, the new method has a stronger anti-noise ability and can produce a significant improvement on IM measurement. Under the condition of the signal-to-noise ratio (SNR) of 10, when the repetition rate is 1, 5 and 10, respectively, the corresponding Strehl ratio is 0.06, 0.02, 0.49 and 0.23, 0.40, 0.67, corrected by using the IM obtained with the tradional single mode method and multi-mode method, respectivily, while that of the new method can reach 0.34, 0.56, 0.68.