Approach to the approximation of the transfer characteristic and correlation response of Fourier holography scheme
Pavlov A. V. 1, Gauge A. O. 1, Alekseev A. M. 2
1ITMO University, St. Petersburg, Russia
2JSC Laboratory Equipment Plant "Freim", Saint-Petersburg, Russia

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An approach for approximating the transfer characteristic and response in the +1th order of diffraction of a 4f Fourier holography scheme by a Gaussian-like model as applied to image processing with power-law spatial-frequency power spectra is proposed. The relations between the parameters of the approximation models and the reference image spectra are found by numerical simulation depending on the reference spectrum exponent. The approximation errors and the possibility of their optimization in the required range of spatial frequencies, determined by the nonlinearity of the exposure characteristics of holographic recording media, are shown. The validity of the approach is confirmed by comparing the results of numerical simulation with experimental data. Keywords: holography, Fourier transform, spatial frequency spectrum, impulse response, recording media, exposure characteristic.
  1. M.M. Miroshnikov. Teoreticheskie osnovy optiko-elektronnyh priborov. (Mashinostroenie, Leningrad, 1977) 600 p. (in Russian)
  2. A.M. Yaglom. Korrelyacionnaya teoriya stacionarnyh sluchajnyh funkcij. (Gidrometeoizdat, Leningrad, 1981) 280 p
  3. A.E. Altynov, V.V. Gruzinov, I.V. Mishin. Izv. vuzov. Geodeziya i aerofotosyomka, (1), 34 (2017)
  4. A.M. Kuleshov, E.I. Shubnikiv, S.A. Smaeva. Opt. Spectrosc., 60 (6), 791 (1986)
  5. V.A. Barachevsky. Opt. Spectrosc., 124 (3), 373 (2018). DOI: 10.21883/OS.2018.03.45659.238-17
  6. L.P. Amosova, N.I. Pletneva, A.N. Chavi ka, J. Optical Technology, 72 (6), 469 (2005). DOI: 10.1364/JOT.72.000469
  7. L.P. Amosova, A.N.Chavi ka, Technical Physics Lett., 33 (6), 255 (2007). DOI: 10.1134/S1063785007030200
  8. E.I. Shubnikov, A.M. Kuleshov. Opt. Spectrosc., 55 (1), 94 (1983)
  9. A.M. Kuleshov, E.I. Shubnikov. Opt. Spectrosc., 60 (3), 369 (1986)
  10. S.A. Aleksandrina, A.M. .Kuleshov. Opt. i spectr., 68 (3), 652 (1990)
  11. S.A. Shoydin, M.S. Kovalev. Opt. Spectrosc., 128 (7), 885 (2020). DOI: 10.21883/OS.2020.07.49557.108-20
  12. E.I. Shubnikov. Opt. Spectrosc., 62 (2), 268 (1987)
  13. A.V. Pavlov. Opt. Spectrosc., 78 (1), 135 (1995)
  14. V.V. Orlov. Quantum Electronics, 47 (8), 773 (2017) DOI: 10.1070/QEL16337
  15. A.V. Pavlov, V.V. Orlov. Quantum Electronics, 49 (3), 246 (2019). DOI: 10.1070/QEL16748
  16. P.A. Ruchka, N. M. Verenikina, I.V. Gritsenko,E.Yu. Zlokazov,M.S. Kovalev, G.K. Krasin, S.B. Odinokov, N.G. Stsepuro. Opt. Spectrosc., 127, 618 (2019). DOI: 10.21883/OS.2019.10.48358.172-19
  17. M.S. Kovalev, G.K. Krasin, S.B. Odinokov, A.B. Solomashenko, E.Yu. Zlokazov. Optics Express, 27 (2), 1563 (2019). DOI: 10.1364/OE.27.001563
  18. E.Yu. Zlokazov. Quantum Electronics, 50 (7), 643 (2020). DOI: 10.1070/QEL17291
  19. N.N. Evtikhiev, E.Yu. Zlokazov, V.V. Krasnov, V.G. Rodin, R.S. Starikov, P.A. Cheremkhin. Quantum Electronics, 50 (7), 667 (2020). DOI: 10.1070/QEL17295
  20. S. Rothe, P. Daferner, S. Heide, D. Krause, F. Schmieder, N. Koukourakis, J.W. Czarske. Optics Express, 29 (23), 37602 (2021). DOI: 10.1364/OE.434842
  21. H.J. Mager,O. Wess,W. Waidelich. Opt. Commun., 9 (2), 156 (1973). DOI: 10.1016/0030-4018(73)90248-4
  22. A.V.Pavlov. Kompyuternaya optika, 44 (5), 728 (2020). DOI: 10.18287/2412-6179-CO-668
  23. I.R. Ptotas, V.I. Mikhailove, Yu.A.. Krakau, G.M. Shepetukha, I.V.. Baranovs, Yu.E.. Usanoc, L.V. Matsiyevich, E.I. Mikhailova. Materialy SHestoj vsesoyuznoj shkoly po golografii. Yerevan, February 11-17, 1974. P. 529--531. URL: http://bsfp.media-security.ru/school6/31.htm
  24. Richard M. Crownover. Introduction to Chaos and Fractals. (Jones and Bartlett Publishers, Inc., Boston, London, 1995)

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