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 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.
Received: 23 May 2003
Revised: 09 July 2003
Published: 06 July 2005
(Dielectric, piezoelectric, ferroelectric, and antiferroelectric materials)
(Phase conjugation; photorefractive and Kerr effects)
Fund: 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.
Cite this article:
Wei En-Bo, Tian Ji-Wei, Song Jin-Bao A theory of nonlinear AC response in coated composites 2004 Chin. Phys. 13 388