Abstract

This paper presents a technique for analyzing the spatial–temporal limitations of adaptive optical systems when the zonal and modal components of the atmospheric phase distortions of the optical radiation are corrected. The temporal spectra of the components of the atmospheric phase distortions to be compensated are used to determine the conditions for ensuring that the adaptive-loop channels have a fast enough response. An analysis is given of how the introduced generalized response-rate parameters of the adaptive loop depend on the parameters of the active distortions. For the case of zonal correction of the atmospheric phase distortions with corrective actions in the form of a sum of the modal components of their expansion in Zernike polynomials, it is shown that, depending on the correspondence between the number of subapertures and the number of included polynomials, the required response rate can be determined either by the zonal-correction conditions or by the modal-correction conditions.

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