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

Gendai Gu, Jieyu Shi, Jinghua Zhang and Meiling Zhao
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Gendai Gu: Department of Mathematics and Physics, North China Electric Power University, Baoding 071000, China
Jieyu Shi: Department of Mathematics and Physics, North China Electric Power University, Baoding 071000, China
Jinghua Zhang: Department of Mathematics and Physics, North China Electric Power University, Baoding 071000, China
Meiling Zhao: Department of Mathematics and Physics, North China Electric Power University, Baoding 071000, China

Mathematics, 2020, vol. 8, issue 10, 1-20

Abstract: 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.

Keywords: Dyadic Green’s function; scattering problem; cylindrical coordinates; space rectangular coordinates; spherical coordinates; two-layer model (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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