Soviet Physics Journal

, Volume 28, Issue 11, pp 921–929 | Cite as

Systems of equations fo zonal wavefront recovery in adaptive optics

  • A. N. Bogaturov


The basic results obtained in the present work may be stated as follows:
  1. 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. 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. 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.



Difference Equation Measurement Noise Basic Result System Characteristic Adaptive Optic 
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Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • A. N. Bogaturov
    • 1
  1. 1.Institute of Atmospheric PhysicsAcademy of Sciences of the USSRUSSR

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