The nonlinear effective dielectric response of graded composites

doi:10.1088/0953-8984/16/29/026

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	The nonlinear effective dielectric response of graded composites
	Wei, EB ; Wu, ZK
	2004-07-28
发表期刊	JOURNAL OF PHYSICS-CONDENSED MATTER
ISSN	0953-8984
卷号	16 期号:29 页码:5377-5386
文章类型	Article
摘要	The perturbation method is developed to deal with the effective nonlinear dielectric responses of weakly nonlinear graded composites, which consist of the graded inclusion with a linear dielectric function of spatial variables of inclusion material. For Kerr-like nonlinear graded composites, as an example in two dimensions, we have used the perturbation method to solve the boundary value problems of potentials, and studied the effective responses of nonlinear graded composites, where a cylindrical inclusion with linear dielectric function and nonlinear dielectric constant is randomly embedded in a homogeneous host with linear and nonlinear dielectric constants. For the exponential function and the power-law dielectric profiles of cylindrical inclusions, in the dilute limit, we have derived the formulae of effective nonlinear responses of both graded nonlinear composites.; The perturbation method is developed to deal with the effective nonlinear dielectric responses of weakly nonlinear graded composites, which consist of the graded inclusion with a linear dielectric function of spatial variables of inclusion material. For Kerr-like nonlinear graded composites, as an example in two dimensions, we have used the perturbation method to solve the boundary value problems of potentials, and studied the effective responses of nonlinear graded composites, where a cylindrical inclusion with linear dielectric function and nonlinear dielectric constant is randomly embedded in a homogeneous host with linear and nonlinear dielectric constants. For the exponential function and the power-law dielectric profiles of cylindrical inclusions, in the dilute limit, we have derived the formulae of effective nonlinear responses of both graded nonlinear composites.
关键词	Crack Problem Conductivity Particles Plane
学科领域	Physics, Condensed Matter
DOI	10.1088/0953-8984/16/29/026
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000223389200032
引用统计	被引频次：14[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.qdio.ac.cn/handle/337002/2502
专题	海洋环流与波动重点实验室
作者单位	1.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China 2.Qingdao Univ Sci & Technol, Dept Math, Qingdao 266042, Peoples R China
推荐引用方式 GB/T 7714	Wei, EB,Wu, ZK. The nonlinear effective dielectric response of graded composites[J]. JOURNAL OF PHYSICS-CONDENSED MATTER,2004,16(29):5377-5386.
APA	Wei, EB,&Wu, ZK.(2004).The nonlinear effective dielectric response of graded composites.JOURNAL OF PHYSICS-CONDENSED MATTER,16(29),5377-5386.
MLA	Wei, EB,et al."The nonlinear effective dielectric response of graded composites".JOURNAL OF PHYSICS-CONDENSED MATTER 16.29(2004):5377-5386.

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