中国物理B ›› 2016, Vol. 25 ›› Issue (4): 44101-044101.doi: 10.1088/1674-1056/25/4/044101

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Soliton excitation in the pass band of the transmission line based on modulation

Guoying Zhao(赵帼英), Feng Tao(陶锋), Weizhong Chen(陈伟中)   

  1. 1 School of Computer Science and Technology, Anhui University of Technology, Ma'anshan 243002, China;
    2 School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan 243002, China;
    3 Key Laboratory of Modern Acoustics, Ministry of Education, and Institution of Acoustics, Nanjing University, Nanjing 210093, China
  • 收稿日期:2015-07-22 修回日期:2015-11-16 出版日期:2016-04-05 发布日期:2016-04-05
  • 通讯作者: Weizhong Chen E-mail:wzchen@nju.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11174145 and 11334005) and the Research Foundation for Young Scientists of Anhui University of Technology (Grant No. QZ201318).

Soliton excitation in the pass band of the transmission line based on modulation

Guoying Zhao(赵帼英)1, Feng Tao(陶锋)2, Weizhong Chen(陈伟中)3   

  1. 1 School of Computer Science and Technology, Anhui University of Technology, Ma'anshan 243002, China;
    2 School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan 243002, China;
    3 Key Laboratory of Modern Acoustics, Ministry of Education, and Institution of Acoustics, Nanjing University, Nanjing 210093, China
  • Received:2015-07-22 Revised:2015-11-16 Online:2016-04-05 Published:2016-04-05
  • Contact: Weizhong Chen E-mail:wzchen@nju.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11174145 and 11334005) and the Research Foundation for Young Scientists of Anhui University of Technology (Grant No. QZ201318).

摘要:

We numerically investigate the excitation of soliton waves in the nonlinear electrical transmission line formed by many cells. When the periodic driving voltage with frequency in the pass band closing to the cutoff frequency is applied to the endpoint of the whole line, the soliton wave can be generated. The numerical results show that the soliton wave generation mainly depends on the self modulation associated with the nonlinear effect. In this study, the lower subharmonic component is also observed in the frequency spectrum. To further understand this phenomenon, we study the dependence of the subharmonic power spectrum and frequency on the forcing amplitude and frequency numerically, and find that the subharmonic frequency increases with the gradual growth of the driving amplitude.

关键词: soliton, nonlinear transmission line, modulation

Abstract:

We numerically investigate the excitation of soliton waves in the nonlinear electrical transmission line formed by many cells. When the periodic driving voltage with frequency in the pass band closing to the cutoff frequency is applied to the endpoint of the whole line, the soliton wave can be generated. The numerical results show that the soliton wave generation mainly depends on the self modulation associated with the nonlinear effect. In this study, the lower subharmonic component is also observed in the frequency spectrum. To further understand this phenomenon, we study the dependence of the subharmonic power spectrum and frequency on the forcing amplitude and frequency numerically, and find that the subharmonic frequency increases with the gradual growth of the driving amplitude.

Key words: soliton, nonlinear transmission line, modulation

中图分类号:  (Applied classical electromagnetism)

  • 41.20.-q
05.45.-a (Nonlinear dynamics and chaos) 84.40.Az (Waveguides, transmission lines, striplines)