Theoretical evaluation of the isoplanatic patch of an adaptive optics system working through the atmospheric turbulence

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Abstract
Wave-front degradations induced by atmospheric turbulence on optical beams vary with the direction of propagation of these beams. The different compensating methods of turbulence effects are therefore limited to a small field of view called the isoplanatic patch. The dependence on field angle of classical aberrations (tilt, defocus, astigmatism. . .) enables the characterization of the performances of an adaptive optics system working on the concept of pre-compensation. The behaviour of such a system versus the field angle is estimated for different sets of working parameters such as the ratio D/r0 (telescope diameter over the coherence diameter of the turbulence), the wavelength of the detected radiation and the number of eigenmodes on which the correction is made. An adequate choice of these parameters leads to an optimal use of the system with respect to the chosen quality criterion.

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