The 3D Fractional Modeling of Electromagnetic Sub-Diffusion Based on FDTD

Authors

  • Xuejiao Zhao College of Instrumentation and Electrical Engineering Jilin University, Changchun, Jilin, China
  • Yao Jiang College of Instrumentation and Electrical Engineering Jilin University, Changchun, Jilin, China
  • Yanju Ji 1 College of Instrumentation and Electrical Engineering Jilin University, Changchun, Jilin, China,2 Key Laboratory of Earth Information Detection Instrumentation Ministry of Education, Jilin University, Changchun, Jilin, China

Keywords:

Electromagnetic sub-diffusion, finitedifferent time-domain method, fractional calculus

Abstract

The anomalous diffusion has been discovered in many natural motions, it is defined as a phenomenon that does not conform to FICK's diffusion law. One of the anomalous diffusions is the electromagnetic subdiffusion, which indicated the power law decay rate is slower than normal -2/5. In this paper, we modeled electromagnetic sub-diffusion based on 3D finitedifferent time-domain (FDTD) method. Through the introduction of roughness parameter in the definition of conductivity and the discretization of fractional integrations, the electromagnetic sub-diffusion can be efficiently modeled. The improved method is verified by homogeneous half-space models and anomalous models with 3D bodies, the results show that it can model 3D electromagnetic sub-diffusion with high precisions and has a good performance in the recognitions of anomalous bodies.

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Published

2019-07-01

How to Cite

[1]
Xuejiao Zhao, Yao Jiang, and Yanju Ji, “The 3D Fractional Modeling of Electromagnetic Sub-Diffusion Based on FDTD”, ACES Journal, vol. 34, no. 07, pp. 1015–1019, Jul. 2019.

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