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The scale-transformation of electromagnetic theory and its applications
作者姓名:李应乐  黄际英
作者单位:School of Science, Xidian University, Xian, 710071,China;Scentific research office, Xianyang Teacher'sCollege, Xianyang, 712000, China
基金项目:Project supported by the National Natural Science Foundation of China (Grant No 60171010), and the Education Office of Shaaxi Province (Grant No 03JK070)
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.

关 键 词:尺度变换  电磁散射  麦克斯韦方程  坐标系统
收稿时间:2004-06-12

The scale-transformation of electromagnetic theory and its applications
Li Ying-Le and Huang Ji-Ying.The scale-transformation of electromagnetic theory and its applications[J].Chinese Physics B,2005,14(4):646-655.
Authors:Li Ying-Le and Huang Ji-Ying
Institution:Scentific research office, Xianyang Teacher'sCollege, Xianyang, 712000, China; School of Science, Xidian University, Xian, 710071,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
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