中国物理B ›› 2009, Vol. 18 ›› Issue (6): 2420-2425.doi: 10.1088/1674-1056/18/6/050

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇    下一篇

Electric fields inside and outside an anisotropic dielectric sphere

李应乐, 王明军   

  1. Institute of Radio Wave Propagation and Scattering, Xianyang Normal University, Xiangyang 712000, China
  • 收稿日期:2008-08-26 修回日期:2008-10-22 出版日期:2009-06-20 发布日期:2009-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60741003 and 60871047).

Electric fields inside and outside an anisotropic dielectric sphere

Li Ying-Le(李应乐)† and Wang Ming-Jun(王明军)   

  1. Institute of Radio Wave Propagation and Scattering, Xianyang Normal University, Xiangyang 712000, China
  • Received:2008-08-26 Revised:2008-10-22 Online:2009-06-20 Published:2009-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60741003 and 60871047).

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摘要： Analytical expressions of electric fields inside and outside an anisotropic dielectric sphere are presented by transforming an anisotropic medium into an isotropic one based on the multi-scale transformation of electromagnetic theory. The theoretical expressions are consistent with those in the literature. The inside electric field, the outside electric field and the angle between their directions are derived in detail. Numerical simulations show that the direction of the outside field influences the magnitude of the inside field, while the dielectric constant tensor greatly affects its direction.

Abstract: Analytical expressions of electric fields inside and outside an anisotropic dielectric sphere are presented by transforming an anisotropic medium into an isotropic one based on the multi-scale transformation of electromagnetic theory. The theoretical expressions are consistent with those in the literature. The inside electric field, the outside electric field and the angle between their directions are derived in detail. Numerical simulations show that the direction of the outside field influences the magnitude of the inside field, while the dielectric constant tensor greatly affects its direction.

Key words: anisotropic medium, scale transformation, electric field

中图分类号:  (Applied classical electromagnetism)

  • 41.20.-q