Optical Singularities in Photonic Microstructures with Rosette Symmetries:A Unified Theoretical Scheme  

作　　者：Jie Yang Jiafu Wang Xinmin Fu Yueting Pan Tie Jun Cui Xuezhi Zheng 

机构地区：[1]Shaanxi Key Laboratory of Artificially Structured Functional Materials and Devices,Xi’an 710051,China [2]Suzhou Laboratory,Suzhou 215123,China [3]WaveCoRE Research Group,KU Leuven,Leuven B-3001,Belgium [4]Faculty of Electronic and Information Engineering,Xi’an Jiaotong University,Xi’an 710049,China [5]Center for Advanced Quantum Studies,Department of Physics,Beijing Normal University,Beijing 100875,China [6]State Key Laboratory of Millimeter Wave,Southeast University,Nanjing 210096,China [7]Center for Polariton-Driven Light-Matter Interactions,University of Southern Denmark,Odense 5230,Denmark

出　　处：《Engineering》2025年第2期59-69,共11页工程(英文)

基　　金：supported by the National Natural Science Foun-dation of China(62301596 and 62288101);Shaanxi Provincial Science and Technology Innovation Team(23-CX-TD-48);the KU Leuven internal funds:the C1 Project(C14/19/083);the Interdisciplinary Network Project(IDN/20/014);the Small Infrastructure Grant(KA/20/019);the Research Foundation of Flanders(FWO)Project(G090017N,G088822N,and V408823N);the Danish National Research Foundation(DNRF165).

摘　　要：Optical singularities are topological defects of electromagnetic fields;they include phase singularity in scalar fields,polarization singularity in vector fields,and three-dimensional(3D)singularities such as optical skyrmions.The exploitation of photonic microstructures to generate and manipulate optical singularities has attracted wide research interest in recent years,with many photonic microstructures having been devised to this end.Accompanying these designs,scattered phenomenological theories have been proposed to expound the working mechanisms behind individual designs.In this work,instead of focusing on a specific type of microstructure,we concentrate on the most common geometric features of these microstructures—namely,symmetries—and revisit the process of generating optical singularities in microstructures from a symmetry viewpoint.By systematically employing the projection operator technique in group theory,we develop a widely applicable theoretical scheme to explore optical singularities in microstructures with rosette(i.e.,rotational and reflection)symmetries.Our scheme agrees well with previously reported works and further reveals that the eigenmodes of a symmetric microstructure can support multiplexed phase singularities in different components,such as out-of-plane,radial,azimuthal,and left-and right-handed circular components.Based on these phase singularities,more complicated optical singularities may be synthesized,including C points,V points,L lines,Néel-and bubble-type optical skyrmions,and optical lattices,to name a few.We demonstrate that the topological invariants associated with optical singularities are protected by the symmetries of the microstructure.Lastly,based on symmetry arguments,we formulate a so-called symmetry matching condition to clarify the excitation of a specific type of optical singularity.Our work establishes a unified theoretical framework to explore optical singularities in photonic microstructures with symmetries,shedding light on the symmetry origin of multidime

关 键 词：Optical singularity Optical vortex Photonic microstructures SYMMETRIES Group representation theory 

分 类 号：O436[机械工程—光学工程]