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Anisoplanatic turbulence correction in incoherent imaging by using reference sources with different wavelengths


The possibility of the phase compensation of turbulent distortions of incoherent images of an object illuminated by radiation with different wavelengths is investigated. The research is carried out based on the method that is a further improvement of the algorithm for the numerical simulation of incoherent imaging through the atmosphere in conditions of anisoplanatic turbulence developed by the authors [Lachinova S.L., Vorontsov M.A., Dudorov V.V., Kolosov V.V., Valley M.T. // Proc. SPIE. 2007. V. 6708. 67080E]. The dependence of the degree and region of the enhancement of the image on the ratio of the reference wavelength to the image-forming radiation one is shown.

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  1. S. M. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii, Principles of Statistical Radiophysics 4, Wave Propagation through Random Media (Springer-Verlag, 1989).

  2. J. A. Fleck, J. R. Morris, and M. D. Feit, “Time-Dependent Propagation of High Energy Laser Beams through the Atmosphere,” Appl. Phys. A 10, 129–160 (1976).

    ADS  Google Scholar 

  3. P. A. Konyaev, Modification of Splitting Method for Numerical Solution of Quasioptical Problems,” in Proc. of the 6th All-Union Symp. on Propagation of Laser Emission in Atmosphere, Pt. 3 (Tomsk, 1981), pp. 195–198.

  4. V. P. Kandidov and V. I. Ledenev, “On Application of Statistical Test Method to Study of Propagation of Wave Beam in Random Inhomogeneous Media,” Izv. Vyssh. Uchebn. Zaved., Ser. Radiofiz. 24, 438–442 (1981).

    ADS  Google Scholar 

  5. V. P. Lukin, “Adaptive Formation of Beams and Images in Atmosphere,” Opt. Atmosf. Okeana 22, 937–944 (2009).

    Google Scholar 

  6. C. J. Carrano, “Anisoplanatic Performance of Horizontal-Path Speckle Imaging,” Proc. SPIE 5162, 14–27 (2003).

    Article  ADS  Google Scholar 

  7. V. V. Vorob’ev, “Broadening of Light Beam in Nonlinear Media with Random Inhomoheneities of Refraction Index,” Izv. Vyssh. Uchebn. Zaved., Ser. Radiofiz. 13, 1053–1060 (1970).

    Google Scholar 

  8. V. V. Kolosov and M. F. Kuznetsov, “Radiation Transfer Equation in Describing Wind Refraction of Partially Coherent Beams,” Opt. Atmosf. Okeana 2, 462–473 (1989).

    Google Scholar 

  9. M. A. Vorontsov and V. V. Kolosov, “Target-In-The-Loop Beam Control: Basic Considerations for Analysis and Wave-Front Sensing,” J. Opt. Soc. Am. A 22, 126–141 (2005).

    Article  ADS  Google Scholar 

  10. A. S. Gurvich, A. I. Kon, V. L. Mironov, and S. S. Khmelevtsov, Laser Emission in Turbulent Atmosphere (Nauka, Moscow, 1976) [in Russian].

    Google Scholar 

  11. V. V. Dudorov and V. V. Kolosov, “Ray Modelling Method of Optical Image Formation in Atmosphere Taking Into Account Deforming Influence of Media Inhomoheneities and Diffraction on Objective Aperture,” in Acoustic Optical and Radiolocation Methods of Measurement and Processing of Information, No. 2 (VOOO VOI, Vladimir, 2007), pp. 174–177 [in Russian].

    Google Scholar 

  12. S. L. Lachinova, M. A. Vorontsov, V. V. Dudorov, V. V. Kolosov, and M. T. Valley, “Anisoplanatic Imaging through Atmospheric Turbulence: Brightness Function Approach,” Proc. SPIE 6708, 67080 (2007).

    Article  Google Scholar 

  13. V. V. Dudorov, M. A. Vorontsov, and V. V. Kolosov, “Speckle Field Propagation in “Frozen” Turbulence: Brightness Function Approach,” J. Opt. Soc. Am. A 23, 1924–1936 (2006).

    Article  ADS  Google Scholar 

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Original Russian Text © V.V. Dudorov, V.V. Kolosov, 2010, published in Optica Atmosfery i Okeana.

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Dudorov, V.V., Kolosov, V.V. Anisoplanatic turbulence correction in incoherent imaging by using reference sources with different wavelengths. Atmos Ocean Opt 23, 353–358 (2010).

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  • Point Spreading Function
  • Image Enhancement
  • Phase Correction
  • Exposure Image
  • Phase Compensation