Overcoming the Rayleigh diffraction limit has been a longstanding focus in optical field. In this paper, a complex Gaussian-correlated beam was used as the illumination source, which renders the minimum resolution distance of four symmetrical pinholes at least 0.05 times the Rayleigh diffraction limit. In addition, the method was applied in displacement measurements, which can measure a displacement below the Rayleigh diffraction limit. The theoretical results show that the complex Gaussian-correlated beam has a great potential to realize sub-diffraction-limit and micro-displacement measurements.

中文翻译：

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通过复杂的高斯相关光束实现亚衍射极限实现和微位移测量

克服瑞利衍射极限一直是光学领域的长期关注点。在本文中，使用复杂的高斯相关光束作为照明源，这使得四个对称针孔的最小分辨距离至少为瑞利衍射极限的0.05倍。此外，该方法还用于位移测量，可以测量低于瑞利衍射极限的位移。理论结果表明，与高斯相关的复光束具有实现亚衍射极限和微位移测量的巨大潜力。