| The Two-dimensional Electromagnetic Scattering from Periodic Chiral Structures and Its Finite Element Approximation |
| |
| 作者姓名： | 张德悦 马富明 |
| |
| 作者单位： | School of Mathematics，Jilin University，Changchun，130012，School of Mathematics，Jilin University，Changchun，130012 |
| |
| 基金项目： | The Special Funds for Major State Basic Research Projects (G1999032802) in China，the NNSF (10076006) of China. |
| |
| 摘 要： | In this paper, we consider the electromagnetic scattering from periodic chiral structures. The structure is periodic in one direction and invariant in another direction. The electromagnetic fields in the chiral medium are governed by the Maxwell equations together with the Drude-Born-Fedorov equations. We simplify the problem to a two-dimensional scattering problem and we show that for all but possibly a discrete set of wave numbers, there is a unique quasi-periodic weak solution to the diffraction problem. The diffraction problem can be solved by finite element method. We also establish uniform error estimates for the finite element method and the error estimates when the truncation of the nonlocal transparent boundary operators takes place.
|
| 关 键 词： | 常微分方程 数值解法 电磁散射 周期性 麦克斯韦方程 |
The Two-dimensional ElectromagneticScattering from Periodic Chiral Structures and Its Finite Element Approximation |
| |
| ZHANG De-yue and MA Fu-ming.The Two-dimensional Electromagnetic Scattering from Periodic Chiral Structures and Its Finite Element Approximation[J].Northeastern Mathematical Journal,2004,20(2):236-252. |
| |
| Authors: | ZHANG De-yue and MA Fu-ming |
| |
| Institution: | SchoolofMathematics,JilinUniversity,Changchun,130012 |
| |
| Abstract: | In this paper, we consider the electromagnetic scattering from periodic chiral structures. The structure is periodic in one direction and invariant in another direction. The electromagnetic fields in the chiral medium are governed by the Maxwell equations together with the Drude-Born-Fedorov equations. We simplify the problem to a two-dimensional scattering problem and we show that for all but possibly a discrete set of wave numbers, there is a unique quasi-periodic weak solution to the diffraction problem. The diffraction problem can be solved by finite element method. We also establish uniform error estimates for the finite element method and the error estimates when the truncation of the nonlocal transparent boundary operators takes place. |
| |
| Keywords: | chiral media Maxwell equation Drude-Born-Fedorov equation quasi-periodic solution periodic structure |
| 本文献已被 CNKI 维普 等数据库收录！ |
