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arXiv 2009.06324physics.opticseess.IV
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亚波长显微目标的远场强度特征

Far-field intensity signature of sub-wavelength microscopic objects

Maria Bancerek, Krzysztof M. Czajkowski, Rafal Kotynski

摘要:

在远场衍射图像中,具有小于衍射极限的特征的微观物体的信息几乎完全丢失,但可以通过数据补全技术部分恢复。任何这样的方法都严重依赖于噪音的水平。最近,人们利用压缩传感和机器学习研究了这种实现超分辨率的新途径。我们展示了一种基于反卷积和遗传优化的两阶段技术,可以恢复具有1/10波长特征的物体。我们表明,在傅立叶域的l1-范数为基础的优化无关的稀疏性是更强大的噪声比其l2为基础的同行。我们还介绍了一个非常快速的通用限制域计算方法的傅立叶变换为基础的迭代算法稀疏数据。

英文摘要:

Information about microscopic objects with features smaller than the diffraction limit is almost entirely lost in a far-field diffraction image but could be partly recovered with data completition techniques. Any such approach critically depends on the level of noise. This new path to superresolution has been recently investigated with the use of compressed sensing and machine learning. We demonstrate a two-stage technique based on deconvolution and genetic optimization which enables the recovery of objects with features of 1/10 of the wavelength. We indicate that l1-norm based optimization in the Fourier domain unrelated to sparsity is more robust to noise than its l2-based counterpart. We also introduce an extremely fast general-purpose restricted domain calculation method for Fourier transform based iterative algorithms operating on sparse data.

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