Correspondence of chaos in binocular aberration dynamics.

ABSTRACT

We used a binocular Shack-Hartmann sensor to measure the aberration dynamics of six participants at a rate of 21 Hz. Chaos theory analysis was used to determine the Lyapunov exponent for the time evolution of the rms wavefront error, accommodation, and each individual Zernike coefficient up to and including the fifth radial order. In all cases there was no statistically significant difference between the Lyapunov exponents between the two eyes, suggesting that the level of chaos is common between them. The mean Lyapunov exponent averaged across both eyes of all participants was 0.42±0.14 µm/s for the rms wavefront error, 0.37±0.06 D/s for accommodation, and 0.32±0.09 µm/s averaged across Zernike coefficients. We found no statistically significant correlation per se between the eyes, except for horizontal coma. The correlation may be masked by the impact of differing tear film dynamics. Understanding the nature of aberration dynamics has utility in optimizing the performance of adaptive optics systems for the human eye.