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Chinese Physics, 2005, Vol. 14(4): 646-655    DOI: 10.1088/1009-1963/14/4/002
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The scale-transformation of electromagnetic theory and its applications

Li Ying-Le (李应乐)ab, Huang Ji-Ying (黄际英)a
a School of Science, Xidian University, Xian, 710071, China; b Scentific research office, Xianyang Teacher'sCollege, Xianyang, 712000, China
Abstract  The scale-transformation of electromagnetic theory is investigated in detail based on the form of Maxwell equations in scale-transformation being unchanged in different coordinate systems. The relations of electromagnetic parameters in a rectangular coordinate system and in a spherical coordinate system are presented respectively. The scale-transformation invariants for electromagnetic field are derived and their physical meaning is also presented. It is indicated by simulation that the electromagnetic waves located in medium can be considered to be isotropic due to the fact that the size of propagating vector affected by the scale factors and observing azimuth is on a size of 10 -9, which provides a new approach for investigating the electromagnetic characteristics of ellipsoidal targets.
Keywords:  scale-transformation      electromagnetic parameter      transformation invariants      electromag-netic scattering  
Received:  12 June 2004      Revised:  26 November 2004      Accepted manuscript online: 
PACS:  41.20.Jb (Electromagnetic wave propagation; radiowave propagation)  
  03.50.De (Classical electromagnetism, Maxwell equations)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60171010), and the Education Office of Shaaxi Province (Grant No 03JK070)

Cite this article: 

Li Ying-Le (李应乐), Huang Ji-Ying (黄际英) The scale-transformation of electromagnetic theory and its applications 2005 Chinese Physics 14 646

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