中国物理B ›› 2005, Vol. 14 ›› Issue (4): 646-655.doi: 10.1088/1009-1963/14/4/002

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The scale-transformation of electromagnetic theory and its applications

黄际英1, 李应乐2   

  1. (1)Scentific research office, Xianyang Teacher'sCollege, Xianyang, 712000, China; (2)School of Science, Xidian University, Xian, 710071,China
  • 收稿日期:2004-06-12 修回日期:2004-11-26 出版日期:2005-04-20 发布日期:2005-03-28
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60171010), and the Education Office of Shaaxi Province (Grant No 03JK070)

The scale-transformation of electromagnetic theory and its applications

Li Ying-Le (李应乐)ab, Huang Ji-Ying (黄际英)a   

  1. a School of Science, Xidian University, Xian, 710071, China; b Scentific research office, Xianyang Teacher'sCollege, Xianyang, 712000, China
  • Received:2004-06-12 Revised:2004-11-26 Online:2005-04-20 Published:2005-03-28
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60171010), and the Education Office of Shaaxi Province (Grant No 03JK070)

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摘要： 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.

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.

Key words: scale-transformation, electromagnetic parameter, transformation invariants, electromag-netic scattering

中图分类号:  (Electromagnetic wave propagation; radiowave propagation)

  • 41.20.Jb
03.50.De (Classical electromagnetism, Maxwell equations)