论文标题
使用波长 - 多形的衍射光学网络大规模平行的通用线性变换
Massively Parallel Universal Linear Transformations using a Wavelength-Multiplexed Diffractive Optical Network
论文作者
论文摘要
我们报告了大量平行的宽带衍射神经网络的深度基于学习的设计,用于全面执行一大批任意选择的,复杂的,复杂的价值线性变换,分别使用N_I和N_O像素,分别具有N_I和N_O像素。该宽带衍射处理器由N_W波长通道组成,每个通道都唯一地分配给了独特的目标转换。可以通过相同的衍射网络在不同的照明波长(同时或顺序地)(波长扫描)通过相同的衍射网络单独执行一组任意选择的线性转换。我们证明,当这种宽带衍射网络(无论其材料分散体如何)都可以成功地近似于N_W唯一的复合物值线性变换,而当设计中的衍射神经元(N)的数量匹配或超过2 x N_W x N_W x N_i X N_O时,差异可忽略不计。我们进一步报告,可以通过增加n来增加光谱多路复用能力(N_W)。我们的数值分析证实了N_W> 180的这些结论,可以将其进一步增加到例如〜2000,具体取决于近似误差的上限。大规模平行的波长 - 多形衍射网络将有助于设计高通量智能机器视觉系统和高光谱处理器,这些处理器可以执行统计推断,并分析具有独特光谱属性的对象/场景。
We report deep learning-based design of a massively parallel broadband diffractive neural network for all-optically performing a large group of arbitrarily-selected, complex-valued linear transformations between an input and output field-of-view, each with N_i and N_o pixels, respectively. This broadband diffractive processor is composed of N_w wavelength channels, each of which is uniquely assigned to a distinct target transformation. A large set of arbitrarily-selected linear transformations can be individually performed through the same diffractive network at different illumination wavelengths, either simultaneously or sequentially (wavelength scanning). We demonstrate that such a broadband diffractive network, regardless of its material dispersion, can successfully approximate N_w unique complex-valued linear transforms with a negligible error when the number of diffractive neurons (N) in its design matches or exceeds 2 x N_w x N_i x N_o. We further report that the spectral multiplexing capability (N_w) can be increased by increasing N; our numerical analyses confirm these conclusions for N_w > 180, which can be further increased to e.g., ~2000 depending on the upper bound of the approximation error. Massively parallel, wavelength-multiplexed diffractive networks will be useful for designing high-throughput intelligent machine vision systems and hyperspectral processors that can perform statistical inference and analyze objects/scenes with unique spectral properties.