Analytical solutions of coupled-mode equations for microring resonators

被引：3
|
作者：
Zhao, C. Y. [1 ,2 ]
机构：
[1] Hangzhou Dianzi Univ, Coll Sci, Hangzhou 310018, Zhejiang, Peoples R China
[2] Shanxi Univ, Inst Optoelect, State Key Lab Quantum Opt & Quantum Opt Devices, Taiyuan 030006, Peoples R China
来源：
PRAMANA-JOURNAL OF PHYSICS | 2016年 / 86卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Integrated optics; coupled resonators; analytical solutions; transmission; ELECTROMAGNETICALLY INDUCED TRANSPARENCY; TRANSMISSION;
D O I：
10.1007/s12043-016-1200-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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 3x3 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 4x4 linearly distributed coupler is also obtained. This paper may be of interest to optical physics and integrated photonics communities.
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页码：1343 / 1353
页数：11
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