Measurements of outer scale length

M.Andersen (reported by H.Pedersen)

The outer scale length of turbulence defines an upper cut off in the size of turbulent structures. It is difficult to measure the outer scale length, since it requires simultaneous wavefront sensing and measurements of the wind speed up through the atmosphere. The fact, that most telescopes have very strong local turbulence (dome seeing), which may have a behavior that is completely dislike that of the free atmosphere, further complicates the situation. As a consequence, highly discordant values have been published.

We have used the 2.56m Nordic Optical Telescope on La Palma to obtain indirect estimates of the outer scale length. The Nordic Optical Telescope is particular well suited for this, because the local turbulence is at a very low level. Assuming Kolmogorov turbulence with infinite outer scale length, the statistical weight of Zernike aberration terms can be derived. We have measured the image motion, and find it to be only 40-50% of that predicted. Our interpretation of this is that the outer scale length is finite.

Voitsekhovich and Cuevas (JOSA, November 1995) give the statistical weight of low order abberation terms as function of (L0/D), D being the diameter of the aperture. Using this result, we find an outer scale length in the range 5-8m, measured on several nights. The implication is, that the seeing, understood as the image quality obtainable by a perfect telescope, is not only dependent on r0, but also the telescope diameter. A 10m telescope on La Palma will essentially be tip/tilt corrected by the aperture itself.

We plan to improve the measurement of LO, by comparing the RMS amplitude of 1.st and 2.nd aberration terms.