Effective Response of Nonlinear Composite under External AC and DC Electric Field

O4; A perturbation method is used to study effective response of nonlinear Kerr composites, which are subject to the constitutive relation of electric displacement and electric field, Dα = εαE + xα|E|2E. Under the external AC and DC electric field Eapp = Eα(1 + sinwt), the effective nonlinear respon...

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Bibliographic Details
Published in理论物理通讯（英文版） Vol. 44; no. 10; pp. 731 - 734
Main Authors LIU Ye, LIANG Fang-Chu
Format Journal Article
LanguageEnglish
Published Institute of Oceanology, the Chinese Academy of Sciences, Qingdao 266071, China 2005
Graduate School of the Chinese Academy of Sciences, Beijing 100039, China%Department of Mathematics, Ningbo University of Technology, Ningbo 315016, China
Subjects
dielectric response
nonlinear composite
AC electric field
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Summary:O4; A perturbation method is used to study effective response of nonlinear Kerr composites, which are subject to the constitutive relation of electric displacement and electric field, Dα = εαE + xα|E|2E. Under the external AC and DC electric field Eapp = Eα(1 + sinwt), the effective nonlinear responses and local potentials are induced by the cubic nonlinearity of Kerr materials at all harmonics. As an example in three dimensions, we have investigated this kind of nonlinear composites with spherical inclusions embedded in a host. At all harmonic frequencies, the potentials in inclusion and host regions are derived. Furthermore, the formulae of the effective linear and nonlinear responses are given in the dilute limit.
ISSN:0253-6102