论文标题
探测与三角缝相关的相互晶格，以确定光子的轨道角动量
Probing the reciprocal lattice associated with a triangular slit to determine the orbital angular momentum for a photon
论文作者
论文摘要
光线的轨道角动量保护揭示了通过三角形孔径在通过三角形孔径时单次衍射模式。已经证明，通过观察衍射光的远场测量值可以访问这些模式，也可以使用很少的光子源获得。为了解释观察到的模式，我们引入了这种光学现象的类比，研究了衍射的衍射，以表征固体的晶体结构。我们证明，有限图案可以与由由组成的原始矢量产生的直接晶格获得的相互晶格有关，该载体组成了负责衍射的等边三角形缝隙的任何两个侧面。使用直接和相互晶格之间存在的关系，我们对为什么主要最大值的衍射模式是有限的，提供了一个结论性的解释。这可以为研究晶体学系统的研究提供新的启示。
The orbital angular momentum conservation of light reveals different diffraction patterns univocally dependent on the topological charge of the incident light beam when passing through a triangular aperture. It is demonstrated that these patterns, which are accessed by observing the far field measurement of the diffracted light, can also be obtained using few photon sources. In order to explain the observed patterns, we introduce an analogy of this optical phenomenon with the study of diffraction for the characterization of the crystal structure of solids. We demonstrate that the finite pattern can be associated to the reciprocal lattice obtained from the direct lattice generated by the primitive vectors composing any two of the sides of the equilateral triangular slit responsible for the diffraction. Using the relation that exists between the direct and reciprocal lattices, we provide a conclusive explanation of why the diffraction pattern of the main maxima is finite. This can shed a new light on the investigation of crystallographic systems.
