Vol. 30, issue 01, article # 14

Rаzgulin A.V., Kuzhmaliev Е..Zh.., Gоncharov A.S., Larichev A.V. On a variational method of retrieval the wavefront from Shack–Hartman sensor measurements. // Optika Atmosfery i Okeana. 2017. V. 30. No. 01. P. 104-108 [in Russian].
Copy the reference to clipboard
Abstract:

New method for wavefront reconstruction from measured gradients is proposed on the basis of the solution of variational problem. Spatial frequency transfer function is obtained for its reconstructor. Accuracy of the restoration is studied, by methods of numerical modeling, at different spatial spectra of wavefront distortions. Reconstructor sensitivity is analyzed in the case of data loss in some nodes of measuring grid.

Keywords:

wavefront reconstruction, wavefront slope, Shack–Hartmann sensor, discrepancy functional, variational method, spatial-frequency response

References:

  1. Shanin O.I. Adaptivnye opticheskie sistemy v impul'snyh moshhnyh lazernyh ustanovkah. M.: Tehnosfera, 2012. 200 p.
  2. Porter J., Queener H., Lin J., Thorn K., Awwal A.A.S. Adaptive optics for vision science. Wiley-Interscience, 2006. 628 p.
  3. Goncharov A.S., Iroshnikov N.G., Larichev A.V., Nikolaev I.P. The impact of speckle on the measurement of eye aberrations // J. Modern Optics. 2015. V. 62, N 21. P. 1775–1780.
  4. Liang J., Grimm B., Goelz S., Bille J.F. Objective measurement of wave aberrations of the human eye the use of a Hartmann–Shack wavefront sensor // J. Opt. Soc. Amer. A. 1994. V. 11, N 7. P. 1949–1957.
  5. Antoshkin L.V., Botygina N.N., Emaleev O.N., Kovadlo P.G., Konjaev P.A., Lukin V.P., Petrov A.I., Jankov A.P. Adaptivnaja opticheskaja sistema s korreljacionnym datchikom smeshhenija izobrazhenija // Optika atmosf. i okeana. 2002. V. 15, N 11. P. 1027–1030.
  6. Platt B.C., Shack R. History and principles of Shack–Hartmann wavefront sensing // J. Refract. Surg. 2001. V. 17, N 5. P. S573–S577.
  7. Chernyshov A., Sterr U., Riehle F., Helmcke J., Pfund J. Calibration of a Shack–Hartmann sensor for absolute measurements of wavefronts // Appl. Opt. 2005. V. 44, N 30. P. 6419–6425.
  8. van Dam M.A., Lane R.G. Wave-front slope estimation // J. Opt. Soc. Amer. A. 2000. V. 17, N 7. P. 1319–1324.
  9. Sallberg S.A., Welsh B.M., Roggemann M.C. Maximum a posteriori estimation of wave-front slopes using a Shack–Hartmann wave-front sensor // J. Opt. Soc. Amer. 1997. V. 14, N 6. P. 1347–1354.
  10. Carmon Y., Ribak E.N. Phase retrieval by demodulation of a Hartmann–Shack sensor // Opt. Commun. 2003. V. 215, N 4. P. 285–288.
  11. Talmi A., Ribak E.N. Direct demodulation of Hartmann–Shack patterns // J. Opt. Soc. Amer. A. 2004. V. 21, N 4. P. 632–639.
  12. Southwell W. Wave-front estimation from wave-front slope measurements // J. Opt. Soc. Amer. 1980. V. 70, N 8. P. 998–1006.
  13. Bahk S.W. Highly accurate wavefront reconstruction algorithms over broad spatial-frequency bandwidth // Opt. Express. 2011. V. 19, N 20. P. 18997–19014.
  14. Marchuk G.I., Agoshkov V.I. Vvedenie v proekcionno-setochnye metody. M.: Nauka, 1981. 416 p.
  15. H'julsman L.P., Allen F.E. Vvedenie v teoriju i raschet aktivnyh fil'trov: Per. s angl. M.: Radio i svjaz', 1984. 384 p.

Back