| This paper is about the systemic study of the treatment of thin layer dispersion medium usedFDTD (finite-difference time-domain) method. Basis on the Mikko and GeDeBiao’s research, thispaper put forward the general method of thin dispersion layer medium through the introduction ofnodes correction method and shift operator method.The former two chapters of this paper mainly explain the FDTD’s development background,main application and the FDTD basic theoretical knowledge that need to use. The chapter3andchapter4is the core of this paper, respectively introduce the general method of dealing with thethin dispersion layer medium from the Angle of one-dimensional and two-dimensional. Everysituation was divided into two kinds of cases: the general FDTD method to deal with the thindispersion layer medium in vacuum and the thin dispersion layer medium coating with metalsubstrate. Among them, the general FDTD method to deal with the thin dispersion layer mediumin vacuum is relatively simple. The electric field and the magnetic field directly depended on theweighted average value of the corresponding value which inside the vacuum cell and thedielectric cell. On the other hand, the general FDTD method to deal with the thin dispersion layermedium coating with metal substrate is relatively complex. It divide into two situations, for thecase of the thin layer thickness is less than half of the cell, the electric field fixed point need toexpand around each one cell to get equivalent electric field, for the case of the thin layer thicknessmore than half of the cell, the electric field fixed point is need to expand around each half cell toobtain equivalent electric field, and magnetic field is only simple weighted average.Behind main chapters there are actual examples, and the results are consistent with thetheoretical results of the example. So this method is proved to have the strong point such as easyderivation process, small calculation memory and high precision. |
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