哈尔滨工业大学学报(英文版)
哈爾濱工業大學學報(英文版)
합이빈공업대학학보(영문판)
JOURNAL OF HARBIN INSTITUTE OF TECHNOLOGY(NEW SERIES)
2004年
4期
433-436
,共4页
electromagnetic theory%boundary condition%macroseopic averaging process%step function and djrac delta function
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.