Analytical solutions of coupled-mode equations for microring resonators

Pramana

ZHAO C Y1 2¹ 

[1] College of Science, Hangzhou Dianzi University, Zhejiang 310018, People’s Republic of China$$

关键词: Integrated optics;    coupled resonators;    analytical solutions;    transmission.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We present a study on analytical solutions of coupled-mode equations for microring resonators with an emphasis on occurrence of all-optical EIT phenomenon, obtained by using a cofactor. As concrete examples, analytical solutions for a $3 imes 3$ linearly distributed coupler and a circularly distributed coupler are obtained. The former corresponds to a non-degenerate eigenvalue problem and the latter corresponds to a degenerate eigenvalue problem. For comparison and without loss of generality, analytical solution for a $4 imes 4$ linearly distributed coupler is also obtained. This paper may be of interest to optical physics and integrated photonics communities.

【 授权许可】

Unknown