Photonic systems offer a promising platform for analog neuromorphic computing and machine learning acceleration, boasting advantages such as massive parallelism, low latency, and energy efficiency. Disordered photonic media have been utilized for implementing neural networks (NNs) architectures with simultaneous coding and processing of information, overcoming digital NNs' bottleneck of data transfer between memory and processor. I explore second-order nonlinear disordered photonic media assembled from oxide nanoparticles, particularly barium titanate and lithium niobate nanocrystals. Thanks to the simultaneous linear scattering and second-harmonic generation, these media enable multiple implementation of the activation function in the optical neural network, facilitating deep multi-layer operation. Experimental demonstrations showcase the potential of these media, particularly a deep two-layer optical neural network based on a nonlinear disordered multiple-scattering slab of lithium niobate nanocrystals, enhancing computing performance for various machine learning tasks including image classification and regression.
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