Abbe diffraction limit has always been an important subject in conventional far-field focusing and imaging systems, where the resolution of an image is usually limited to $0.5\lambda /\mathrm{NA}$. Recently, the studies of the optical super-oscillation lens (SOL) enable us to break the limitation in both theory and practice successfully. Here a genetic algorithm was introduced to design the SOL phase more controllably and precisely obtain much better focusing such as the focal spot with $0.105\lambda /\mathrm{NA}$ (or 79.0% minification) in the simulation and 65.5% minification in the experimental demonstration. This technique is of great significance in advanced optical lithography or biology microscopy, because it promises non-invasive unlabelled imaging from the far field.

中文翻译：

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基于反馈的波前整形方法进行的远场超聚焦

在传统的远场聚焦和成像系统中，阿贝衍射极限一直是重要的课题，在传统的远场聚焦和成像系统中，图像的分辨率通常限于 $0.5\lambda /\mathrm{不适用}$。近年来，对光学超振动透镜（SOL）的研究使我们能够成功突破理论和实践的局限。在这里，引入了一种遗传算法来更可控地设计SOL相，并精确地获得更好的聚焦效果，例如聚焦点$0.105\lambda /\mathrm{不适用}$（或缩小79.0％），而在实验演示中缩小65.5％。这项技术在先进的光学光刻或生物学显微镜中具有重要意义，因为它有望在远距离进行非侵入性的未标记成像。