Influence of the higher-order nonlinearities in embodying the second-order holographic associative memories

Peter V. Polyanskii; Christina V. Felde; Alexey V. Konovchuk; Maxim V. Oleksyuk

doi:10.1117/12.2228974

30 November 2015 Influence of the higher-order nonlinearities in embodying the second-order holographic associative memories

Peter V. Polyanskii, Christina V. Felde, Alexey V. Konovchuk, Maxim V. Oleksyuk

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Proceedings Volume 9809, Twelfth International Conference on Correlation Optics; 98090L (2015) https://doi.org/10.1117/12.2228974
Event: 12th International Conference on Correlation Optics, 2015, Chernivsti, Ukraine

Abstract

Recording nonlinearity is conventionally considered as the source of noise in holographic imaging. Important exclusion from this general statement is nonlinear holographic associative memory, where the quadratic recording nonlinearity causes true brightness rendering and the possibility for associative coupling and reconstructing optical signals of arbitrary complexity which are stored at the same carrier without interference. In this paper we discuss the role of nonlinearities of an amplitude response of a hologram of the orders higher than the quadratic one in implementing the second-ordered holographic associative memory. We show that higher-order nonlinearities are also involved in implementing this type of memory. This conclusion may be of importance for interpretation of biological/human memory also. The highlight of our study is the conclusion that reconstruction of the complex conjugate heteroassociative response is provided directly, viz. by the set of specified by us pseudogratings, rather than by the mechanism of sequential diffractions.

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Peter V. Polyanskii, Christina V. Felde, Alexey V. Konovchuk, and Maxim V. Oleksyuk "Influence of the higher-order nonlinearities in embodying the second-order holographic associative memories", Proc. SPIE 9809, Twelfth International Conference on Correlation Optics, 98090L (30 November 2015); https://doi.org/10.1117/12.2228974

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KEYWORDS

Holograms

Holography

3D image reconstruction

Diffraction

Content addressable memory

Convolution

Moire patterns

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