A theoretical study of structures with Tamm plasmons, where metal strips forming a one-dimensional periodic structure with a quasiperiodic unit cell on the surface of a structure are arranged in accordance with the Fibonacci sequence, have been theoretically studied. It has been shown that, when using the Fibonacci structure as a unit cell, additional band gaps appear in the band structure and the number of the bands, their total width, and the fraction of localized states in the eigenmode spectrum increase with the Fibonacci sequence number. In this case, all dispersion surfaces are combinations of paraboloids and hyperboloids, and the frequency of alternation of paraboloids and hyperboloids in the dispersion relation increases with the Fibonacci sequence number.

中文翻译：

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具有准周期性金属光栅的结构中的Tamm等离子体。

对具有Tamm等离子体激元的结构进行了理论研究，其中根据斐波那契数列排列了金属带，这些金属带形成一维周期性结构，在结构表面上具有准周期晶胞。已经表明，当使用斐波那契结构作为单位晶胞时，附加的带隙出现在能带结构中，并且带的数目，其总宽度以及本征模谱中的局部状态的分数随斐波那契序列而增加。数。在这种情况下，所有分散表面都是抛物面和双曲面的组合，并且在分散关系中抛物面和双曲面的交替频率随着斐波那契数列的增加而增加。