中国物理B ›› 2012, Vol. 21 ›› Issue (1): 14101-014101.doi: 10.1088/1674-1056/21/1/014101

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Energy unidirectional transmission in an asymmetrically finite transmission line

陈伟中1, 许文1, 陶锋2, 都思丹3   

  1. (1)Key Laboratory of Modern Acoustics of Ministry of Education, and Institute of Acoustics, Nanjing University, Nanjing 210093, China; (2)Key Laboratory of Modern Acoustics of Ministry of Education, and Institute of Acoustics, Nanjing University, Nanjing 210093, China; School of Electrical Engineering & Information, Anhui University of Technology, Ma’anshan 243002, China; (3)School of Electronic Science and Engineering, Nanjing University, Nanjing 210093, China
  • 收稿日期:2011-06-17 修回日期:2011-07-30 出版日期:2012-01-15 发布日期:2012-01-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10974095 and 10774072).

Energy unidirectional transmission in an asymmetrically finite transmission line

Tao Feng(陶锋)a)b), Chen Wei-Zhong(陈伟中) a)†, Xu Wen(许文)a), and Du Si-Dan(都思丹) c)   

  1. a Key Laboratory of Modern Acoustics of Ministry of Education, and Institute of Acoustics, Nanjing University, Nanjing 210093, China; b School of Electrical Engineering & Information, Anhui University of Technology, Ma’anshan 243002, China; c School of Electronic Science and Engineering, Nanjing University, Nanjing 210093, China
  • Received:2011-06-17 Revised:2011-07-30 Online:2012-01-15 Published:2012-01-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10974095 and 10774072).

摘要: The phenomenon of energy unidirectional transmission is numerically investigated by using a system of two coupled discrete nonlinear electrical transmission lines, each line of the network contains a finite number of cells and has different pass band structures, respectively. Using numerical simulations, we examine the frequency multiplication of the driving frequency and the lattice filtering effect in the line. These lead to the generation of energy unidirectional transmission. In the present work, energy is carried by the second harmonic wave in the pass band. In addition, we also study the dependence of the energy efficiency on the driving amplitude and other parameters of the model, such as the system size and the nonlinear coefficient, by calculation. Furthermore, after detailed numerical simulation, an experimental demonstration is realized. The experimental results agree with those in simulation qualitatively.

关键词: energy, unidirectional, nonlinear transmission line, linear wave

Abstract: The phenomenon of energy unidirectional transmission is numerically investigated by using a system of two coupled discrete nonlinear electrical transmission lines, each line of the network contains a finite number of cells and has different pass band structures, respectively. Using numerical simulations, we examine the frequency multiplication of the driving frequency and the lattice filtering effect in the line. These lead to the generation of energy unidirectional transmission. In the present work, energy is carried by the second harmonic wave in the pass band. In addition, we also study the dependence of the energy efficiency on the driving amplitude and other parameters of the model, such as the system size and the nonlinear coefficient, by calculation. Furthermore, after detailed numerical simulation, an experimental demonstration is realized. The experimental results agree with those in simulation qualitatively.

Key words: energy, unidirectional, nonlinear transmission line, linear wave

中图分类号:  (Applied classical electromagnetism)

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