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Chin. Phys. B, 2008, Vol. 17(10): 3629-3634    DOI: 10.1088/1674-1056/17/10/016
THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Prev   Next  

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)
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
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.
Keywords:  transmission line      analytic solution      BLT equation      coupling formulation  
Received:  01 January 2008      Revised:  05 March 2008      Accepted manuscript online: 
PACS:  84.32.Hh (Inductors and coils; wiring)  
  41.20.Jb (Electromagnetic wave propagation; radiowave propagation)  
Fund: Project supported by the China Postdoctoral Science Foundation(Grant No 20080431399) and the National Natural Science Foundation of China (Grant No 60572135).

Cite this article: 

Ni Gu-Yan(倪谷炎), Yan Li(颜力), and Yuan Nai-Chang(袁乃昌) Time-domain analytic solutions of two-wire transmission line excited by a plane-wave field 2008 Chin. Phys. B 17 3629

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