arXiv 2305.084452023-05-15physics.optics

部分遮挡圆形艾里导数光束的自动聚焦与自愈

Autofocusing and self-healing of partially blocked circular Airy derivative beams

Anita Kumari, Vasu Dev, Vishwa Pal

备注：: 16 pages, 20 figures
DOI：: 10.1016/j.optlastec.2023.109837

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AI总结：

研究通过对称/非对称掩模部分遮挡圆形艾里导数光束，揭示内、外环及扇形遮挡对自动聚焦距离、k值突变和自愈能力的影响。

摘要：

我们通过数值和实验研究了部分遮挡圆形艾里导数光束（CADBs）的自动聚焦和自愈特性。CADB由多个环组成，通过使用对称和非对称二值振幅掩模实现不同类型的CADB部分遮挡，从而能够遮挡内/外环以及进行扇形遮挡。不同类型遮挡的CADB均具有自动聚焦能力，然而实现突然自动聚焦所需的传播距离随遮挡量和遮挡类型而变化。突然自动聚焦通过最大k值及其在自动聚焦距离（$z_{af}$）附近变化的快慢来量化。特别地，内环（第一/第二/第三环）被遮挡的CADB表现出突然自动聚焦，因为k值在$z_{af}$之前[之后]急剧增大[减小]。最大k值总是出现在$z_{af}$处，并随被遮挡内环数量的增加而减小。对于外环被遮挡的CADB，k值在$z_{af}$附近逐渐变化，表明缺乏突然自动聚焦。$z_{af}$的值随被遮挡外环数量的增加而增大。这表明尽管外环包含较低强度，但它们在自动聚焦中发挥重要作用。扇形遮挡的CADB具有突然自动聚焦特性，且最大k值取决于遮挡量。不同类型遮挡的CADB均具有良好的自愈能力，其中被遮挡部分由于强度重新分布而重新出现。最大自愈发生在$z_{af}$处，此时重叠积分接近最大值。最后，我们比较了具有相同半径的理想CADB和部分遮挡CADB，发现理想CADB具有更好的突然自动聚焦性能。数值模拟与实验结果吻合良好。

英文摘要：

We numerically and experimentally study the autofocusing and self-healing of partially blocked circular Airy derivative beams (CADBs). The CADB consists of multiple rings, and partial blocking of CADB with different kinds is achieved by using symmetric and asymmetric binary amplitude masks, enabling blocking of inner/outer rings and sectorially. The CADB blocked with different types possesses the ability to autofocus, however, the required propagation distance for abrupt autofocusing vary with the amount and types of blocking. The abrupt autofocusing is quantified by a maximum k-value, and how fast it changes around the autofocusing distance ($z_{af}$). In particular, CADB blocked with inner rings (first/two/three) exhibits an abrupt autofocusing, as the k-value sharply increases [decreases] just before [after] $z_{af}$. The maximum k-value always occurs at $z_{af}$, which decreases as the number of blocked inner rings increases. For CADB blocked with outer rings, the k-value gradually changes around $z_{af}$, indicating a lack of abrupt autofocusing. The value of $z_{af}$ increases with the number of blocked outer rings. This suggests that although outer rings contain low intensities, these play an important role in autofocusing. A sectorially blocked CADB possesses an abrupt autofocusing, and maximum k-value depends on the amount of blocking. The CADB blocked with different types possesses good self-healing abilities, where blocked parts reappear as a result of redistribution of intensity. The maximum self-healing occurs at $z_{af}$, where an overlap integral approaches a maximum value. Finally, we have compared ideal CADB and partially blocked CADB having the same radii, and found that an ideal CADB possesses better abrupt autofocusing. We have found a good agreement between the numerical simulations and experimental results.

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