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旋波媒质中谱域电并矢Green函数的分解
引用本文:秦治安,秦睿,陈岩,盛德元. 旋波媒质中谱域电并矢Green函数的分解[J]. 应用数学和力学, 2005, 26(2): 178-182
作者姓名:秦治安  秦睿  陈岩  盛德元
作者单位:1. 大连海事大学,数理系,大连,116026
2. 福岡大学,经济学部,福岡 814-01,日本
基金项目:交通部建设基金资助项目(752147)
摘    要:介绍了一种推导无耗、互易和无界旋波媒质中谱域并矢Green函数表达式的新方法· 这种方法以Hemholtz定理以及并矢Diracδ函数的无散和无旋分解为基础,首先将电矢量的并矢Green函数方程分解成无散电矢量的并矢Green函数方程和无旋电矢量的并矢Green函数方程,然后经Fourier变换导出了旋波媒质中谱域电并矢Green函数的无散分解表达式和无旋分解表达式· 用这种方法推导旋波媒质中并矢Green函数就可以避免必须用波场的分解法和并矢Green函数的本征函数展开法·

关 键 词:并矢Green函数  无散分量  无旋分量  电磁波场  电荷场  旋波媒质
文章编号:1000-0887(2005)02-0178-05
修稿时间:2003-11-28

Splitting of the Spectral Domain Electrical Dyadic Green''''s Function in Chiral Media
QIN Zhi-an,QIN Rui,CHEN Yan,SHENG De-yuan. Splitting of the Spectral Domain Electrical Dyadic Green''''s Function in Chiral Media[J]. Applied Mathematics and Mechanics, 2005, 26(2): 178-182
Authors:QIN Zhi-an  QIN Rui  CHEN Yan  SHENG De-yuan
Affiliation:QIN Zhi-an~1,QIN Rui~2,CHEN Yan~1,SHENG De-yuan~1
Abstract:A new method of formulating dyadic Green's functions in lossless,reciprocal and unbounded chiral medium was presented.Based on Helmholtz theorem and the non-divergence and irrotational splitting of dyadic Dirac delta- function was this method, the electrical vector dyadic Green's function equation was first decomposed into the non-divergence electrical vector dyadic Green's function equation and irrotational electrical vector dyadic Green's function equation,and then Fourier's transformation was used to derive the expressions of the non-divergence and irrotational component of the spectral domain electrical dyadic Green's function in chiral media.It can avoid having to use the wavefield decomposition method and dyadic Green's function eigenfunction expansion technique that this method is used to derive the dyadic Green's functions in chiral media.
Keywords:dyadic Green's function  non-divergence component  irrotational component  electromagnetic wave field  charge field  chiral medium
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