The concepts of Fourier optics were established in France in the 1940s by Pierre-Michel Duffieux, and laid the foundations of an extensive series of activities in the French research community that have touched on nearly every aspect of contemporary optics and photonics. In this paper, we review a selection of results where applications of the Fourier transform and transfer functions in optics have been applied to yield significant advances in unexpected areas of optics, including the spatial shaping of complex laser beams in amplitude and in phase, real-time ultrafast measurements, novel ghost imaging techniques, and the development of parallel processing methodologies for photonic artificial intelligence.

中文翻译：

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推进傅立叶：超快光学，成像和光子神经网络中的时空概念。

傅立叶光学的概念由Pierre-Michel Duffieux于1940年代在法国创立，奠定了法国研究界一系列广泛活动的基础，这些活动几乎涉及到现代光学和光子学的各个方面。在本文中，我们回顾了一些结果，其中在光学中应用了傅立叶变换和传递函数，从而在光学的意想不到的领域取得了重大进展，包括复杂激光束在幅度和相位上的空间整形，实数-时间超快测量，新颖的重影成像技术以及光子人工智能并行处理方法的发展。