The influence of hologram recording conditions and nonlinearity of recording media on the dynamic characteristics of the Fourier holography scheme with resonance architecture

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.