中国物理B ›› 2004, Vol. 13 ›› Issue (3): 388-392.doi: 10.1088/1009-1963/13/3/023

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A theory of nonlinear AC response in coated composites

魏恩泊1, 宋金宝1, 田纪伟2   

  1. (1)Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China; (2)Physical Oceanography Laboratory, Ocean University of China, Qingdao 266003, China
  • 收稿日期:2003-05-23 修回日期:2003-07-09 出版日期:2004-03-06 发布日期:2005-07-06
  • 基金资助:
    Project supported by the National 863 Project of China (Grant No 2002AA639270), NSFC (Grant No 10374026), the Innovated Project of Institute of Oceanology and 100-Talent Project of Chinese Academy of Sciences.

A theory of nonlinear AC response in coated composites

Wei En-Bo (魏恩泊)a, Tian Ji-Wei (田纪伟)b, Song Jin-Bao (宋金宝)a   

  1. a Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China; b Physical Oceanography Laboratory, Ocean University of China, Qingdao 266003, China
  • Received:2003-05-23 Revised:2003-07-09 Online:2004-03-06 Published:2005-07-06
  • Supported by:
    Project supported by the National 863 Project of China (Grant No 2002AA639270), NSFC (Grant No 10374026), the Innovated Project of Institute of Oceanology and 100-Talent Project of Chinese Academy of Sciences.

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摘要： A method for determining effective dielectric responses of Kerr-like coated nonlinear composites under the alternating current (AC) electric field is proposed by using perturbation approach. As an example, we have investigated the composite with coated cylindrical inclusions randomly embedded in a host under an external sinusoidal field with finite frequency ω. The local field and potential of composites in general consists of components with all harmonic frequencies. The effective nonlinear AC responses at all harmonics are induced by the coated nonlinear composites because of the nonlinear constitutive relation. Moreover, we have derived the formulae of effective nonlinear AC responses at the fundamental frequency and the third harmonic in the dilute limit.

关键词: nonlinear composites, alternating current, effective dielectric response

Abstract: A method for determining effective dielectric responses of Kerr-like coated nonlinear composites under the alternating current (AC) electric field is proposed by using perturbation approach. As an example, we have investigated the composite with coated cylindrical inclusions randomly embedded in a host under an external sinusoidal field with finite frequency $\omega$. The local field and potential of composites in general consists of components with all harmonic frequencies. The effective nonlinear AC responses at all harmonics are induced by the coated nonlinear composites because of the nonlinear constitutive relation. Moreover, we have derived the formulae of effective nonlinear AC responses at the fundamental frequency and the third harmonic in the dilute limit.

Key words: nonlinear composites, alternating current, effective dielectric response

中图分类号:  (Dielectric, piezoelectric, ferroelectric, and antiferroelectric materials)

  • 77.84.-s
72.20.Ht (High-field and nonlinear effects) 72.80.Tm (Composite materials) 77.22.Ch (Permittivity (dielectric function)) 42.65.Hw (Phase conjugation; photorefractive and Kerr effects)