Abstract
A Fourier holography scheme in a ring cavity with two Fourier holograms (a matched hologram and a hologram in the correlation plane) has been considered. The dissipation factor of the scheme is determined, and the influence of the hologram recording conditions and the additional filtering caused by the nonlinearity of the exposure characteristics of holographic recording media on this parameter is demonstrated. It is also shown that high-frequency filtering on holograms reduces the convergence rate of the system to the stable state, whereas low-frequency filtering accelerates convergence. In the case of ultrahigh-frequency filtering or rejection of low frequencies, which destroys the internal correlatedness of images processed, the lateral maxima of the dissipation term grow. As result, under these filtering conditions, the dynamics of the system includes two successive stages: divergent (or pseudorandom) and convergent, in which the scheme converges to stable formation of image, which was absent during hologram recording. The results of numerical modeling for a number of models of hologram recording and additional filterings on holograms are presented.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. I. Vasilenko and L. M. Tsibul’kin, Holographic Recognition Devices (Radio i Svyaz’, Moscow, 1985) [in Russian].
N. N. Evtikhiev, S. N. Starikov, D. V. Shaulskiy, R. S. Starikov, and E. Yu. Zlokazov, Opt. Eng. 50(6), 065803 (2011).
E. Gur, D. Mendlovic, and Z. Zalevsky, Appl. Opt. 37(29), 6937 (1998).
A. V. Pavlov, Opt. Spectrosc. 90(3), 452 (2001).
E. G. Paek and D. Psaltis, Opt. Eng. 26, 428 (1987).
Y. Owechko, G. J. Dunning, E. Marom, and B. H. Soffer, Appl. Opt. 26, 1900 (1987).
A. V. Pavlov, Opt. Spectrosc. 98(6), 949 (2005).
A. V. Pavlov, Iskusstv. Intellekt Prinyatie Reshenii, No. 1, 3 (2010).
A. V. Pavlov, Iskusstv. Intellekt Prinyatie Reshenii, No. 3, 26 (2012).
V. Yu. Venediktov, G. E. Nevskaya, and M. G. Tomilin, Opt. Spectrosc. 111(1), 113 (2011).
A. A. Leshchev, V. A. Berenberg, M. V. Vasil’ev, V. Yu. Venediktov, N. L. Ivanova, Yu. A. Petrushin, P. Semenov, and N. N. Freigang, Kvantovaya Elektron. 37(8), 716 (2007).
G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1968).
N. A. Magnitskii, Dokl. Akad. Nauk 338(3), 320 (1994).
A. V. Pavlov, Nauch. Tekh. Vestn. Inf. Tekhnol., Mekh., Opt., No. 1 (89), 17 (2014).
A. V. Pavlov, Proc. V Int. Sci.-Practical Conf. “Integrated Models and Soft Calculations in Artificial Intelligence,” 28–30 May, 2009, Vol. 1, p. 140.
E. I. Shubnikov, Opt. Spektrosk. 62(2), 450 (1987).
E. I. Shubnikov, Opt. Spektrosk. 62(3), 653 (1987).
A. M. Kuleshov and E. I. Shubnikov, Opt. Spektrosk. 60(3), 606 (1986).
B. Kosko, Appl. Opt. 26, 4947 (1987).
V. V. Dubnishchev, Vibrations and Waves (Lan’, St. Petersburg, 2011) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Pavlov, 2015, published in Optika i Spektroskopiya, 2015, Vol. 119, No. 1, pp. 151–159.
Rights and permissions
About this article
Cite this article
Pavlov, A.V. The influence of hologram recording conditions and nonlinearity of recording media on the dynamic characteristics of the Fourier holography scheme with resonance architecture. Opt. Spectrosc. 119, 146–154 (2015). https://doi.org/10.1134/S0030400X1507022X
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0030400X1507022X