中国物理B ›› 2008, Vol. 17 ›› Issue (10): 3629-3634.doi: 10.1088/1674-1056/17/10/016

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Time-domain analytic solutions of two-wire transmission line excited by a plane-wave field

颜 力1, 袁乃昌2, 倪谷炎3   

  1. (1)College of Aerospace and Material Engineering, National University of Defense Technology, Changsha 410073, China; (2)College of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China; (3)College of Science， National University of Defense Technology, Changsha 410073, China
  • 收稿日期:2008-01-01 修回日期:2008-03-05 出版日期:2008-10-20 发布日期:2008-10-20
  • 基金资助:
    Project supported by the China Postdoctoral Science Foundation(Grant No 20080431399) and the National Natural Science Foundation of China (Grant No 60572135).

Time-domain analytic solutions of two-wire transmission line excited by a plane-wave field

Ni Gu-Yan(倪谷炎)a)†, Yan Li(颜力)b), and Yuan Nai-Chang(袁乃昌)c)   

  1. a College of Science， National University of Defense Technology, Changsha 410073, China; b College of Aerospace and Material Engineering, National University of Defense Technology, Changsha 410073, China; c College of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China
  • Received:2008-01-01 Revised:2008-03-05 Online:2008-10-20 Published:2008-10-20
  • Supported by:
    Project supported by the China Postdoctoral Science Foundation(Grant No 20080431399) and the National Natural Science Foundation of China (Grant No 60572135).

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摘要： This paper reports that an analytic method is used to calculate the load responses of the two-wire transmission line excited by a plane-wave directly in the time domain. By the frequency-domain Baum--Liu--Tesche (BLT) equation, the time-domain analytic solutions are obtained and expressed in an infinite geometric series. Moreover, it is shown that there exist only finite nonzero terms in the infinite geometric series if the time variate is at a finite interval. In other word, the time-domain analytic solutions are expanded in a finite geometric series indeed if the time variate is at a finite interval. The computed results are subsequently compared with transient responses obtained by using the frequency-domain BLT equation via a fast Fourier transform, and the agreement is excellent.

关键词: transmission line, analytic solution, BLT equation, coupling formulation

Abstract: This paper reports that an analytic method is used to calculate the load responses of the two-wire transmission line excited by a plane-wave directly in the time domain. By the frequency-domain Baum--Liu--Tesche (BLT) equation, the time-domain analytic solutions are obtained and expressed in an infinite geometric series. Moreover, it is shown that there exist only finite nonzero terms in the infinite geometric series if the time variate is at a finite interval. In other word, the time-domain analytic solutions are expanded in a finite geometric series indeed if the time variate is at a finite interval. The computed results are subsequently compared with transient responses obtained by using the frequency-domain BLT equation via a fast Fourier transform, and the agreement is excellent.

Key words: transmission line, analytic solution, BLT equation, coupling formulation

中图分类号:  (Inductors and coils; wiring)

  • 84.32.Hh
41.20.Jb (Electromagnetic wave propagation; radiowave propagation)