Nonlinear frequency combs generated by cnoidal waves in microring resonators

被引：29
作者：
Qi, Zhen [1 ]
D'Aguanno, Giuseppe [1 ,2 ]
Menyuk, Curtis R. [1 ]
机构：
[1] Univ Maryland Baltimore Cty, Dept Comp Sci & Elect Engn, 1000 Hilltop Circle, Baltimore, MD 21250 USA
[2] Univ Texas Austin, Dept Elect & Comp Engn, Austin, TX 78712 USA
来源：
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS | 2017年 / 34卷 / 04期
关键词：
MICRORESONATORS;
D O I：
10.1364/JOSAB.34.000785
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Cnoidal waves are the periodic analog of solitons. Like solitons, they can be generated in microresonators and correspond to frequency combs. The generation of frequency combs in nonlinear microresonators is modeled by the Lugiato-Lefever equation. In this paper, we study the Lugiato-Lefever equation for a microresonator in the anomalous dispersion regime. In the lossless case, we show that the cnoidal waves can be expressed as a combination of Jacobi elliptic functions. These solutions reduce to known soliton-like solutions in particular cases. The properties of cnoidal waves in the realistic lossy case and their potential uses are also discussed. (C) 2017 Optical Society of America
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收藏
页码：785 / 794
页数：10
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