Graph-analytic technique for data routing in nonlinear holographic associative memories

Peter V. Polyanskii; Christina V. Felde; Halina V. Bogatyryova

doi:10.1117/12.2319173

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7 September 2018 Graph-analytic technique for data routing in nonlinear holographic associative memories

Peter V. Polyanskii; Christina V. Felde; Halina V. Bogatyryova

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Proceedings Volume 10751, Optics and Photonics for Information Processing XII; 1075113 (2018) https://doi.org/10.1117/12.2319173
Event: SPIE Optical Engineering + Applications, 2018, San Diego, California, United States

Abstract

We derive the graph-analytic representation of influence of the higher-order nonlinearities (including the third and fourth ones) of holographic recording on the associative properties of second-order holograms defined as ‘holograms between two holograms’. It is shown that the higher-order nonlinearities of the amplitude response of a hologram do not only cause the noise contribution into conjugate associative response, but in some scenarios of formation of the second-order hologram just predetermine reconstruction of this response. Using the proposed technique, we analyze various cases of imposed (sequential) record of partial signals within the framework of the model of multiple diffraction at hologram structure. We discuss the cases when reconstruction of the conjugate associative response is provided by the presence of the hierarchy of combination pseudogratings, rather than by the ‘direct’ interference mechanism that lies in the base of conventional holographic associative storage, using ghost-image holograms. The represented results expand considerably functional feasibilities of the phase-conjugation associative memories on the base of static holograms.

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Peter V. Polyanskii, Christina V. Felde, and Halina V. Bogatyryova "Graph-analytic technique for data routing in nonlinear holographic associative memories", Proc. SPIE 10751, Optics and Photonics for Information Processing XII, 1075113 (7 September 2018); https://doi.org/10.1117/12.2319173