We put forward a robust technique to encode a plethora of arbitrary images as nondiffracting beams by optimizing their respective phase components. This technique works directly under the constraint of a ring of infinitesimal width in Fourier space. The procedure reported is based on a stochastic direct search and global optimization: the differential evolution method. Unlike previous methods reported, the present approach is also able to optimize the spatial frequency of the image used. Remarkably, this technique also demonstrates that it is possible to encode even more arbitrary images on demand into nondiffracting forms by allowing a segmentation of the profile. We provide some codes to generate nondiffracting beams by using this algorithm.

中文翻译：

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非衍射光束的分而治之算法。

我们提出了一种鲁棒的技术，通过优化它们各自的相位分量，将大量的任意图像编码为非衍射光束。该技术直接在傅立叶空间中无限小宽度的环的约束下工作。报告的程序基于随机直接搜索和全局优化：差分进化方法。与先前报道的方法不同，本方法还能够优化所使用图像的空间频率。引人注目的是，该技术还表明，通过允许轮廓的分割，可以按需将更多任意图像编码为非衍射形式。我们提供了一些使用此算法生成非衍射光束的代码。