Speckles commonly satisfy Rayleigh statistics. However, in many applications, non-Rayleigh speckles with customized intensity statistics are desirable. Here, we present a general method for customizing the intensity statistics of speckle patterns on a target plane. By judiciously modulating the phase front of a monochromatic laser beam, we experimentally generate speckle patterns with arbitrarily tailored intensity probability density functions. Relative to Rayleigh speckles, our customized speckles exhibit radically different topologies yet maintain the same spatial correlation length. The customized speckles are fully developed, ergodic, and stationary–with circular non-Gaussian statistics for the complex field. Propagating away from the target plane, the customized speckles revert back to Rayleigh speckles. This work provides a versatile framework for tailoring speckle patterns with varied applications in microscopy, imaging, and optical manipulation.

中文翻译：

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自定义散斑强度统计

斑点通常满足瑞利统计。然而，在许多应用中，具有定制强度统计的非瑞利散斑是理想的。在这里，我们提出了一种自定义目标面上斑点图案强度统计信息的通用方法。通过明智地调制单色激光束的相前，我们通过实验生成了具有任意量身定做的强度概率密度函数的斑点图案。相对于瑞利散斑，我们定制的散斑表现出截然不同的拓扑结构，但保持相同的空间相关长度。定制的散斑是经过完全开发的，遍历遍历的和固定的，并具有针对复杂领域的圆形非高斯统计量。从目标平面传播出去，自定义散斑恢复为瑞利散斑。