Multilevel Green’s function interpolation approaches for large-scale full- wave electromagnetic problems

2007 ◽  
Author(s):  
Long Li ◽  
Hao Gang Wang ◽  
Chi Hou Chan
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Large Scale ◽  
Electromagnetic Problems ◽  
Full Wave

scholarly journals Dyadic Green’s Function and the Application of Two-Layer Model

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1688
Author(s):  
Gendai Gu ◽  
Jieyu Shi ◽  
Jinghua Zhang ◽  
Meiling Zhao
Keyword(s):  
Green’S Function ◽  
Electric Fields ◽  
Green's Function ◽  
Dipole Source ◽  
Layer Model ◽  
Field Problem ◽  
Dyadic Green’S Function ◽  
Electromagnetic Problems ◽  
Dyadic Green's Function ◽  
Two Layer Model

Dyadic Green’s function (DGF) is a powerful and elegant way of solving electromagnetic problems in the multilayered media. In this paper, we introduce the electric and magnetic DGFs in free space, respectively. Furthermore, the symmetry of different kinds of DGFs is proved. This paper focuses on the application of DGF in a two-layer model. By introducing the universal form of the vector wave functions in space rectangular, cylindrical and spherical coordinates, the corresponding DGFs are obtained. We derive the concise and explicit formulas for the electric fields represented by a vertical electric dipole source. It is expected that the proposed DGF can be extended to some more electric field problem in the two-layer model.

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