Based on the principle of catastrophe theory, by adding an additional phase factor, we adjust Pearcey beams, which therefore have a more flexible and controllable light-field structure. The basic optical structure and evolution characteristics of caustics are also investigated. In particular, we derive analytical equations of caustics for Pearcey beams by exactly considering the specially engineered phase factor. Experimentally, binary masks are used to encode light-field information with the superpixel method so that the theoretically designed Pearcey beam can be generated. Theoretical analysis and numerical simulations indicate that the caustics remain unchanged but exhibit lateral shift for a series of phase parameters during propagation in free space. This phenomenon has potential applications in the field of optical manipulation.

中文翻译：

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Pearcey 光束调谐和焦散演化

基于突变理论的原理，通过增加一个额外的相位因子，我们调整了皮尔西光束，从而具有更灵活和可控的光场结构。还研究了焦散的基本光学结构和演化特征。特别是，我们通过精确考虑专门设计的相位因子，推导出 Pearcey 光束的焦散分析方程。实验上，二进制掩码用于通过超像素方法对光场信息进行编码，从而可以生成理论上设计的皮尔西光束。理论分析和数值模拟表明焦散保持不变，但出现横向偏移用于在自由空间传播期间的一系列相位参数。这种现象在光学操纵领域具有潜在的应用。