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Boundary conditions:An effect of average of microscopic Maxwell's equations

江滨浩 刘永坦

哈尔滨工业大学学报(英文版)2004,Vol.11Issue(4):433-436,4.
哈尔滨工业大学学报(英文版)2004,Vol.11Issue(4):433-436,4.

Boundary conditions:An effect of average of microscopic Maxwell's equations

Boundary conditions:An effect of average of microscopic Maxwell's equations

江滨浩 1刘永坦2

作者信息

  • 1. Dept.of Electric Engineering,Harbin Institute of Technohgy,Harbin,150001,China
  • 2. Research Institute of Electronic Engineering,Harbin Institute of Technology,Harbin,150001,China
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摘要

Abstract

It is well known that the macroscopic Maxwell' s equations can be obtained from the corresponding microscopic or atomic equations by a proper averaging process. The purpose of this paper is to present the macroscopic Maxwell' s equations which are valid in all regions of space, including an interface between two different media; and the boundary conditions can naturally emerge from the macroscopic equations as an effect of average of the microscopic Maxwell' s equations. In addition, the application of the unit step functions and the Dirac delta function to our discussion not only permits great mathematical simplicity but also gives rise to convenient physical concepts for the description and representation of the actual fields in the vicinity of the interface.

关键词

electromagnetic theory/boundary condition/macroseopic averaging process/step function and djrac delta function

Key words

electromagnetic theory/boundary condition/macroseopic averaging process/step function and djrac delta function

分类

数理科学

引用本文复制引用

江滨浩,刘永坦..Boundary conditions:An effect of average of microscopic Maxwell's equations[J].哈尔滨工业大学学报(英文版),2004,11(4):433-436,4.

哈尔滨工业大学学报(英文版)

1005-9113

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