| 周期手性结构电磁散射问题的积分方程方法 |
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| 引用本文： | 张德悦,马富明. 周期手性结构电磁散射问题的积分方程方法[J]. 东北数学, 2005, 21(2): 165-174 |
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| 作者姓名： | 张德悦 马富明 |
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| 作者单位： | School of Mathematics，Jilin University，Changchun，130012，School of Mathematics，Jilin University，Changchun，130012 |
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| 基金项目： | 国家重点基础研究发展计划(973计划);中国科学院资助项目 |
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| 摘 要： | In this paper, we consider the electromagnetic scattering by a periodic chiral structure. The media is homogeneous and the structure is periodic in one direction and invariant in another direction. The electromagnetic fields inside the chiral medium are governed by Maxwell equations together with the Drude-BornFedorov equations. We simplify the problem to a two-dimensional scattering problem and discuss the existence and the uniqueness of solutions by an integral equation approach. We show that for all but possibly a discrete set of wave numbers, the integral equation has a unique solution.
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| 关 键 词： | 手性介质 麦克斯韦函数 准周期解 周期结构 磁场 |
An Integral Equation Method for Electromagnetic Scattering by a Periodic Chiral Structure |
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| ZHANG De-yue,MA Fu-ming. An Integral Equation Method for Electromagnetic Scattering by a Periodic Chiral Structure[J]. Northeastern Mathematical Journal, 2005, 21(2): 165-174 |
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| Authors: | ZHANG De-yue MA Fu-ming |
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| Affiliation: | SchoolofMathematics,JilinUniversity,Changchun,130012 |
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| Abstract: | In this paper, we consider the electromagnetic scattering by a periodic chiral structure. The media is homogeneous and the structure is periodic in one direction and invariant in another direction. The electromagnetic fields inside the chiral medium are governed by Maxwell equations together with the Drude-BornFedorov equations. We simplify the problem to a two-dimensional scattering problem and discuss the existence and the uniqueness of solutions by an integral equation approach. We show that for all but possibly a discrete set of wave numbers, the integral equation has a unique solution. |
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| Keywords: | chiral media Maxwell equation Drude-Born-Fedorov equation quasiperiodic solution periodic structure |
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