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Modification of a parabolic equation for modeling the control of adaptive optical systems

V.K. Bagmanov1, A.K. Sultanov1
1Ufa State Aviation Technical University


Pages: 118-121.

Abstract:
A method of approximate stochastic equivalence is proposed that allows to reduce a parabolic equation describing the optical propagation in a turbulent atmosphere to a Kalman-Bucy equation. The resulting equation can be used to model control systems for adaptive optical systems based on Kalman filters.

Keywords:
Parabolic Equation, Adaptive Optical Systems, approximate stochastic equivalence, Kalman-Bucy equation, Kalman filters

Citation:
Bagmanov VK, Sultanov AK. Modification of a Parabolic Equation for Modeling the Control of Adaptive Optical Systems. Computer Optics 2006; 29: 118-121.

References:

  1. Solodov AV. System theory methods in the problem of continuous linear filtration [In Russian]. Moscow: "Nauka" Publisher, 1976.
  2. Dubenko TI. The Kalman filter for random fields. Autom Remote Control 1972; 33(12): 1945-1949.
  3. Rytov SM, Kravtsov YuA, Tatarskii VI. Principles of statistical radiophysics 3: Elements of random fields. Berlin, Heidelberg: Springer-Verlag; 1989. ISBN: 978-3-642-72687-3.
  4. Ishimary A. Wave propagation and scattering in random media. Vol 2: Multiple scattering, turbulence, rough surfaces, and remote-sensing. London: Academic Press Inc; 1978. ISBN: 978-0-12-374702-0.