The Multiple Mirror Telescope (MMT) has been used in experiments with
sodium laser guide stars to sense and correct atmospheric image distor
tion. The major goal was to develop and test concepts for a full adapt
ative optics system, to be used in 2 yr when the present array of six
1.8 m telescopes will be replaced with a single 6.5 m mirror. The guid
e star, produced by a continuous-wave dye laser beam projected out alo
ng the optical axis of the telescope, was as bright in the V band as a
natural star of m(n)u = 10.4. Our tests culminated in the first demon
stration of a sodium laser guide star used to improve the image of an
astronomical telescope, in this case formed by two of the six 1.8 m ap
ertures. Two adaptive servo loops were closed simultaneously. The lase
r beacon provided a measure of the differential wave-front tilt betwee
n the two apertures, and a natural guide star was used to measure the
overall wave-front tilt. A factor of 2 improvement in the K-band Streh
l ratio was measured, and the resolution improved from 0.''58 to 0.''4
1. The experiment demonstrated all the features needed for correction
of the 6.5 m telescope to the diffraction limit using a sodium beacon.
The accuracy with which the laser beacon measures the atmospheric abe
rration of starlight across the full 6.9 m aperture of the MMT was exa
mined. This was done with the artificial beacon and a coaxial natural
star, and using the six elements of the MMT as a large Shack-Hartmann
wave-front sensor to measure the shape of both wave fronts simultaneou
sly. The small difference between the wave fronts, caused by focus ani
soplanatism, was analyzed in terms of Zernike coefficients and was fou
nd to correspond to a Strehl ratio of 77% in the K band over the full
aperture sampled, despite poor seeing during this measurement. From mo
re extensive measurements of binary star wave fronts, we deduce that f
ocus anisoplanatism for the 6.5 m telescope will correspond to a Streh
l ratio of typically 88% at K under normal seeing conditions. In a las
er-based adaptive system, a natural guide star is still required to se
nse overall wave-front slope. Our measurements of binary stars also yi
elded the image degradation to be expected from differences in the ove
rall slopes between the wave fronts from the object of scientific inte
rest and the natural guide star. A Strehl ratio of 80% at K was deduce
d for an offset of 40'', implying that good sky coverage will be possi
ble. In general, our results are consistent with calculations based on
measurements of atmospheric turbulence at the best sites. Our direct
measurements over such a large aperture show clearly the effects of a
finite and variable outer scale of turbulence.