中国物理B ›› 2018, Vol. 27 ›› Issue (2): 28102-028102.doi: 10.1088/1674-1056/27/2/028102

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

Robust stability characterizations of active metamaterials with non-Foster loads

Yi-Feng Fan(范逸风), Yong-Zhi Sun(孙永志)   

  1. 1. New Electromagnetic Materials Research Institute, Weifang University, Weifang 261061, China;
    2. No. 8511 Research Institute of China, Aerospace Science Industry Corp., Nanjing 21007, China
  • 收稿日期:2017-07-11 修回日期:2017-10-20 出版日期:2018-02-05 发布日期:2018-02-05
  • 通讯作者: Yong-Zhi Sun E-mail:nanshen01@126.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 61701349), the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2017QF012 and ZR2017MF042), and the Program for the Top Young Innovative Talents, China (Grant No. Q1313-03).

Robust stability characterizations of active metamaterials with non-Foster loads

Yi-Feng Fan(范逸风)1, Yong-Zhi Sun(孙永志)1,2   

  1. 1. New Electromagnetic Materials Research Institute, Weifang University, Weifang 261061, China;
    2. No. 8511 Research Institute of China, Aerospace Science Industry Corp., Nanjing 21007, China
  • Received:2017-07-11 Revised:2017-10-20 Online:2018-02-05 Published:2018-02-05
  • Contact: Yong-Zhi Sun E-mail:nanshen01@126.com
  • About author:81.05.Xj; 02.30.Yy
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 61701349), the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2017QF012 and ZR2017MF042), and the Program for the Top Young Innovative Talents, China (Grant No. Q1313-03).

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摘要： Active metamaterials incorporating with non-Foster elements have been considered as one of the means of overcoming inherent limitations of the passive counterparts, thus achieving broadband or gain metamaterials. However, realistic active metamaterials, especially non-Foster loaded medium, would face the challenge of the possibility of instability. Moreover, they normally appear to be time-variant and in unsteady states, which leads to the necessity of a stability method to cope with the stability issue considering the system model uncertainty. In this paper, we propose an immittance-based stability method to design a non-Foster loaded metamaterial ensuring robust stability. First, the principle of this stability method is introduced after comparing different stability criteria. Based on the equivalent system model, the stability characterization is used to give the design specifications to achieve an active metamaterial with robust stability. Finally, it is applied to the practical design of active metamaterial with non-Foster loaded loop arrays. By introducing the disturbance into the non-Foster circuit (NFC), the worst-case model uncertainty is considered during the design, and the reliability of our proposed method is verified. This method can also be applied to other realistic design of active metamaterials.

关键词: active metamaterials, stability analysis, non-Foster circuit (NFC)

Abstract: Active metamaterials incorporating with non-Foster elements have been considered as one of the means of overcoming inherent limitations of the passive counterparts, thus achieving broadband or gain metamaterials. However, realistic active metamaterials, especially non-Foster loaded medium, would face the challenge of the possibility of instability. Moreover, they normally appear to be time-variant and in unsteady states, which leads to the necessity of a stability method to cope with the stability issue considering the system model uncertainty. In this paper, we propose an immittance-based stability method to design a non-Foster loaded metamaterial ensuring robust stability. First, the principle of this stability method is introduced after comparing different stability criteria. Based on the equivalent system model, the stability characterization is used to give the design specifications to achieve an active metamaterial with robust stability. Finally, it is applied to the practical design of active metamaterial with non-Foster loaded loop arrays. By introducing the disturbance into the non-Foster circuit (NFC), the worst-case model uncertainty is considered during the design, and the reliability of our proposed method is verified. This method can also be applied to other realistic design of active metamaterials.

Key words: active metamaterials, stability analysis, non-Foster circuit (NFC)

中图分类号:  (Metamaterials for chiral, bianisotropic and other complex media)

  • 81.05.Xj
02.30.Yy (Control theory)