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arXiv 2310.03384physics.opticscs.NE
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利用空间非相干衍射网络实现复值通用线性变换与图像加密

Complex-valued universal linear transformations and image encryption using spatially incoherent diffractive networks

Xilin Yang, Md Sadman Sakib Rahman, Bijie Bai, Jingxi Li, Aydogan Ozcan

AI总结:

该研究将空间非相干 D2NN 扩展到复值信息处理,证明衍射特征数超过输入输出空间带宽积之积阈值后可近似任意复值线性变换,并实现非相干全光图像加密。

摘要:

作为一种光学处理器,衍射深度神经网络(Diffractive Deep Neural Network,D2NN)利用通过机器学习设计的工程化衍射表面执行全光信息处理,以光穿过薄光学层的传播速度完成任务。在具有足够自由度的情况下,D2NN 可以利用空间相干光执行任意复值线性变换。类似地,D2NN 也可以在空间非相干照明下执行任意线性强度变换;然而,在空间非相干光下,这些变换是非负的,作用于输入视场(FOV)内受衍射限制的光强图案。在这里,我们将空间非相干 D2NN 的用途扩展到复值信息处理,以利用空间非相干光执行任意复值线性变换。通过仿真,我们表明,当经过优化的衍射特征数量增加并超过由输入和输出空间带宽积之积所决定的阈值时,空间非相干衍射视觉处理器可以近似任意复值线性变换,并可用于在非相干照明下进行全光图像加密。这些发现对于利用各种形式的基于衍射表面的光学处理器在自然光下进行全光信息处理具有重要意义。

英文摘要:

As an optical processor, a Diffractive Deep Neural Network (D2NN) utilizes engineered diffractive surfaces designed through machine learning to perform all-optical information processing, completing its tasks at the speed of light propagation through thin optical layers. With sufficient degrees-of-freedom, D2NNs can perform arbitrary complex-valued linear transformations using spatially coherent light. Similarly, D2NNs can also perform arbitrary linear intensity transformations with spatially incoherent illumination; however, under spatially incoherent light, these transformations are non-negative, acting on diffraction-limited optical intensity patterns at the input field-of-view (FOV). Here, we expand the use of spatially incoherent D2NNs to complex-valued information processing for executing arbitrary complex-valued linear transformations using spatially incoherent light. Through simulations, we show that as the number of optimized diffractive features increases beyond a threshold dictated by the multiplication of the input and output space-bandwidth products, a spatially incoherent diffractive visual processor can approximate any complex-valued linear transformation and be used for all-optical image encryption using incoherent illumination. The findings are important for the all-optical processing of information under natural light using various forms of diffractive surface-based optical processors.

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