东京大学工业科学研究所研究团队利用Smith帽形创建了纳米光学结构,发现这种结构能使光形成异常的手性衍射图案1。Smith帽形是2023年发现的首个能完全覆盖平面且不重复的单一铺砌形状1。研究人员在硅氮化物薄膜上用电子束光刻制造了这种纳米级结构1,当激光照射时产生了呈风车形的手性衍射图案,证明光学响应与底层结构的对称破缺直接相关1。
衍射模式会随入射光的方向和偏振方向改变而改变,物理结构镜像翻转后,其光学行为也随之反转1。这些发现表明几何结构的非周期性和对称性破缺可以产生新型的光学响应,为光学操控和极化控制打开了新的研究方向1。研究已发表在《自然通讯》杂志2026年第17卷第1期1。
Researchers at the Institute of Industrial Science at the University of Tokyo have harnessed the Smith hat—the first single shape to solve the Einstein problem of creating a non-repeating tiling pattern—to construct nanostructures that exhibit unusual light behavior 1. When illuminated by lasers, these structures produce chiral diffraction patterns resembling pinwheels, demonstrating that the non-periodic geometry and symmetry breaking of the underlying structure directly generate novel optical responses 1.
The Smith hat, discovered in 2023, represents a breakthrough as the sole aperiodic monohedral tiling capable of covering a plane without repetition 1. The research team fabricated nanoscale structures on silicon nitride films using electron beam lithography 1. The resulting optical effects proved highly sensitive to experimental conditions: the diffraction patterns shifted in response to changes in the direction and polarization of incident light, and when the physical structure was mirrored, its optical behavior inverted correspondingly 1. The findings, published in Nature Communications in 2026, suggest that the geometric properties inherent to aperiodic tilings can unlock new avenues for optical manipulation and polarization control 1.
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