Analysis of electromagnetic wave propagation in complex dielectric materials with uncertainty

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• 作者：Younis Zaidan ; ^{younis.zaidan@uwc.edu}
• 关键词：Maxwell-system ; Well-posedness ; Probability distribution ; Nonlinear polarization ; Galerkin approximation
• 刊名：Nonlinear Analysis ; Real World Applications
• 出版年：2012
• 期刊代码：44_14681218
• 类别：mt
• 出版时间：October, 2012
• 卷：13
• 期：5
• 页码：2163-2171
• 文件大小：223 K

摘要

We consider the propagation of high frequency electromagnetic pulses in complex materials with nonlinear polarization. The physical problem is modeled by Maxwell鈥檚 equations in variational form, and well-posedness results are established with respect to probability distributions on the polarization parameters (in a Prohorov metric sense).