The nonlinear effective dielectric response of graded composites
The nonlinear effective dielectric response of graded composites
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DOI：
10.1088/0953-8984/16/29/026
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发表时间：
2004-07
期刊：
影响因子：
--
通讯作者：
E. Wei;Zixia Wu
中科院分区：
文献类型：
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作者：
E. Wei;Zixia Wu
微扰方法是为了处理弱非线性梯度复合材料的有效非线性介电响应而开发的，该复合材料由具有夹杂材料空间变量的线性介电函数的梯度夹杂物组成。对于类Kerr非线性梯度复合材料，以二维为例，采用微扰法求解势的边值问题，研究了具有线性介电函数和非线性介电常数的圆柱形夹杂物随机嵌入具有线性和非线性介电常数的均匀主体中的非线性梯度复合材料的有效响应。对于圆柱形夹杂物的指数函数和幂律介电分布，在稀极限下，我们推导了两种梯度非线性复合材料的有效非线性响应的公式。
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.