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中国物理学会期刊

基于卷积神经网络的光学本征模式成像

Optical eigenmode imaging based on convolutional neural networks

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  • 光学本征模式成像(Optical eigenmode imaging,OEI)是一种基于光学系统本征模式展开与投影的计算成像方法,通过在模式空间中对目标空间分布信息进行表征与重建,实现目标图像的获取。然而在低采样率条件下,传统OEI重建受限于模态不完备性,导致图像细节丢失与分辨能力受限。针对此问题,本文将深度学习引入OEI重建过程,构建了一种融合物理模型约束的复数卷积神经网络框架。该方法将OEI物理模型嵌入非预训练复数U-net卷积神经网络中,并引入注意力机制以增强多尺度特征提取能力,从而实现了对图像细节的有效恢复。数值模拟结果表明,该方法在低采样率下仍能有效恢复图像细节,在峰值信噪比与结构相似性等指标上显著优于传统算法,验证了将OEI物理模型与深度学习相融合的可行性,并为相关计算成像优化提供新思路。

     

    Optical eigenmode imaging (OEI) is a computational imaging method based on the expansion and projection of eigenmodes within an optical system. It acquires target images by characterizing and reconstructing spatial distribution information in the mode space. However, under low sampling rates, traditional OEI reconstruction is fundamentally limited by modal incompleteness, leading to the loss of high-frequency information. This physically manifests as enhanced side-lobes in the system’s point spread function and severe artifacts in the reconstructed images, thereby compromising edge sharpness and detail fidelity. To overcome these physical limitations, we propose a physics-driven, complex-valued convolutional neural network framework that seamlessly integrates physical laws with deep learning by incorporating the optical imaging physical model as an intrinsic constraint. Unlike conventional data-driven approaches that rely on massive paired datasets, our method utilizes an untrained complex U-net optimized through a self-supervised strategy. The network treats the real and imaginary components of the optical field as independent channels to strictly preserve phase information. Furthermore, to specifically address the issue of detail loss caused by modal incompleteness, we integrate a convolutional block attention module (CBAM) into the network’s decoder. This mechanism achieves high-quality image reconstruction through adaptive feature weight adjustment.
    Numerical simulations indicate that under extremely low sampling rates, where traditional OEI fails to recover meaningful structural details and the baseline U-net suffers from residual artifacts, our attention-enhanced model successfully suppresses side-lobe-induced artifacts. Comparative validations demonstrate that superior image fidelity and structural similarity are achieved compared to traditional OEI algorithms and baseline deep learning approaches, effectively mitigating structural degradation caused by modal incompleteness. This method provides a robust solution for OEI, enabling high-quality super-resolution imaging without the need for high sampling redundancy or external training datasets.

     

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