Abstract
The basic results obtained in the present work may be stated as follows: 1) a method of obtaining the analytical solution of the systems of difference equations arising in problems of zonal wavefront recovery is described; the expressions obtained may be used for a noniterative algorithm of solution of the given systems; 2) the possibility of choosing an optimal recovery algorithm in accordance with the system characteristics of the adaptive instrument and the phase fluctuations of the detectable field is shown; 3) analytical expressions are obtained for the recovery error due to measurement noise, depending on the dimension of the mass of recovered phase values; the agreement between Eqs. (24), (26), and (28) and the results of numerical solution of the given systems in [10, 11] is complete.
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