多层纳米环的极向和环形等离子体激元和场
Poloidal and toroidal plasmons and fields of multilayer nanorings
摘要：
复合和janus型金属介电纳米粒子越来越多地被认为是在各种应用中控制电磁场的空间和时间行为的手段，例如耦合到量子发射器，实现隐形斗篷，以及获得量子比特之间的量子关联。我们研究了环形纳米结构的表面模式，得到了任意层纳米环的正则等离子体色散关系和共振模式。与其他几何结构中的粒子等离子体激元本征模不同，环面本征模的振幅表现出明显的前向和后向耦合。在准静态极限下，我们给出了几种相关环形结构的等离子体激元色散关系，并得到了单环的主要延迟色散关系以供比较，讨论了模式互补和杂交，并引入了两种新的环形粒子形式的janus纳米环。提供了由等离子体激元支撑材料（例如金、银和铝）组成的环的前几个主导模式的谐振频率，并将其与硅环的谐振频率进行比较。一个广义的格林函数得到的多层环面允许计算相互作用场的散射响应。采用格林函数，标量电势分布对应的个别极向和环形模式响应于任意极化的外场和场的电子。结果被应用于获得的局域态密度和附近的中心的环面偶极子的衰减率。
英文摘要：
Composite and janus type metallo-dielectric nanoparticles are increasingly considered as a means to control the spatial and temporal behavior of electromagnetic fields in diverse applications such as coupling to quantum emitters, achieve invisibility cloaks, and obtain quantum correlations between qubits. We investigate the surface modes of a toroidal nano-structure and obtain the canonical plasmon dispersion relations and resonance modes for arbitrarily layered nanorings. Unlike particle plasmon eigenmodes in other geometries, the amplitudes of the eigenmodes of tori exhibit a distinct forward and backward coupling. We present the plasmon dispersion relations for several relevant toroidal configurations in the quasistatic limit and obtain the dominant retarded dispersion relations of a single ring for comparison, discuss mode complementarity and hybridization, and introduce two new types of toroidal particles in the form of janus nanorings. The resonance frequencies for the first few dominant modes of a ring composed of plasmon supporting materials such as gold, silver, and aluminum are provided and compared to those for a silicon ring. A generalized Green's function is obtained for multilayer tori allowing for calculation of the scattering response to interacting fields. Employing the Green's function, the scalar electric potential distribution corresponding to individual poloidal and toroidal modes in response to an arbitrarily polarized external field and the field of electrons is obtained. The results are applied to obtain the local density of states and decay rate of a dipole near the center of the torus.
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