Periodic chain of resonators: gap control and geometry of the system

International Conference of Young Scientists and Specialists "Optics-2015"

Blinova, I.V.^1 ; Melikhova, A.S.^1 ; Popov, I.Yu.^1

ITMO University, Kronverkskiy 49, St. Petersburg

197101, Russia^1

关键词: Coupled resonator;    Gap control;    Periodic chains;    Self-adjoint extensions;    Solvable model;    Symmetric operators;    Zigzag lines;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/735/1/012062/pdf
DOI  :  10.1088/1742-6596/735/1/012062

来源: IOP

【 摘 要 】

A periodic system of coupled resonators is considered. It has a form of zigzag line. A band structure of the spectrum is studied. Solvable model based on the theory of self-adjoint extensions of symmetric operators is used. The position of gaps depends on the zigzag line angle. It opens a way to control the gap position by geometrical parameters. Particularly, it is possible to construct a system with predetermined gap position.