Root-locus analysis of Exceptional Points in Coupled-resonator Networks

被引:0
作者
Zheng, Yu [2 ]
Wu, Rebing [1 ]
Chen, Qiming [1 ]
Liu, Yu-xi [2 ]
机构
[1] Tsinghua Univ, Fac Dept Automat, Beijing 100084, Peoples R China
[2] Tsinghua Univ, Inst Microelect, Beijing 100084, Peoples R China
来源
2017 AMERICAN CONTROL CONFERENCE (ACC) | 2017年
关键词
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中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Recently, the engineering of exceptional points (EP) in optical and electrical systems becomes a multidisciplinary field in physical sciences, because phase transitions often occur near such points. In this paper, we indicate that the engineering of EPs can be treated as a root-locus problem that is well-know in control theory. We formulate two root locus problems that arise from the tuning of coupled-resonator networks, which are interesting in that the characteristic polynomial may have complex-number coefficients or is quadratic in the root-locus parameter. Observing that EPs in the system correspond to the break-in and break-out points of the root locus, we analyze the geometry of the root locus and, for three-resonator networks, we derive all possible networks that possess at least one EP. These results provide a systematic way of designing coupled-resonator networks with desired EPs.
引用
收藏
页码:1556 / 1561
页数:6
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