Derivation and Fast Computation of Dyadic Green's Functions of Magnetic Vector Potential for Unbounded Uniaxial Anisotropic Media

Authors

  • Jianliang Zhuo Institute of Electromagnetics and Acoustics, and Department of Electronic Science Xiamen University, Xiamen, Fujian-361008, China
  • Feng Han Institute of Electromagnetics and Acoustics, and Department of Electronic Science Xiamen University, Xiamen, Fujian-361008, China
  • Na Liu Institute of Electromagnetics and Acoustics, and Department of Electronic Science Xiamen University, Xiamen, Fujian-361008, China
  • Longfang Ye Institute of Electromagnetics and Acoustics, and Department of Electronic Science Xiamen University, Xiamen, Fujian-361008, China
  • Hai Liu Institute of Electromagnetics and Acoustics, and Department of Electronic Science Xiamen University, Xiamen, Fujian-361008, China
  • Qing Huo Liu Department of Electrical and Computer Engineering Duke University, Durham, NC-27705, USA

Keywords:

Dyadic Green's function, magnetic vector-potential, unbounded, uniaxial anisotropic media

Abstract

The dyadic Green's function of the magnetic vector-potential A (DGFA) for unbounded uniaxial anisotropic media is unavailable in literature but it is needed in numerical computation. The equation of the DGFA was directly derived from the Maxwell's equations. Through the Fourier transform and the inverse Fourier transform, the triple integral form of the DGFA in the spatial domain was obtained. And it was finally simplified to Sommerfeld integrals. In order to verify these formulas, we applied the singularity subtraction technique to evaluate the Sommerfeld integrals rapidly and compared the numerical results with the analytical solutions for degenerated cases for the isotropic unbounded media, as well as the simulated results from a commercial finite element software for uniaxial anisotropic unbounded media. Finally, the effect of the singularity subtraction method was discussed.

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Published

2021-07-30

How to Cite

[1]
Jianliang Zhuo, Feng Han, Na Liu, Longfang Ye, Hai Liu, and Qing Huo Liu, “Derivation and Fast Computation of Dyadic Green’s Functions of Magnetic Vector Potential for Unbounded Uniaxial Anisotropic Media”, ACES Journal, vol. 32, no. 10, pp. 862–871, Jul. 2021.

Issue

2017: Vol 32 Iss 10

Section

General Submission