Adaptive optics with four laser guide stars: correction of the cone effect in large telescopes

Physics – Optics

Scientific paper

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Astronomical Telescopes, Adaptive Optics, Image Processing, Position Control, Measurement Errors, Infrared Spectra

Scientific paper

We study the performance of an adaptive optics (AO) system with four laser guide stars (LGSs) and a natural guide star (NGS). The residual cone effect with four LGSs is obtained by a numerical simulation. This method allows the adaptive optics system to be extended toward the visible part of the spectrum without tomographic reconstruction of three-dimensional atmospheric perturbations, resolving the cone effect in the visible. Diffraction-limited images are obtained with 17-arc ms precision in median atmospheric conditions at wavelengths longer than 600 nm. The gain achievable with such a system operated on an existing AO system is studied. For comparison, performance in terms of achievable Strehl ratio is also computed for a reasonable system composed of a 40 × 40 Shack-Hartmann wave-front sensor optimized for the I band. Typical errors of a NGS wave front are computed by use of analytical formulas. With the NGS errors and the cone effect, the Strehl ratio can reach 0.45 at 1.25 μm under good-seeing conditions with the Nasmyth Adaptive Optics System (NAOS a 14 × 14 subpupil wave-front sensor) at the Very Large Telescope and 0.8 with a 40 × 40 Shack-Hartmann wave-front sensor.

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