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均匀介质中衍射光栅的电磁散射 被引量：2

Electromagnetic Scattering of Diffractive Grating in Homogeneous Medium
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摘要 考虑均匀介质中衍射光栅电磁散射问题的数学描述形式,通过引入柱面坐标和人工边界条件,给出了衍射光栅散射问题的可行性数学描述,并给出了与散射问题数学模型等价的变分形式. The authors discussed the mathematical description of electromagnetic scattering problems of the diffraction grating in the homogeneous medium. With the help of the cylindrical coordinates and artificial boundary conditions introduced, the authors showed that the mathematical description of diffraction grating scattering problem was feasible, and gave the variational problem equivalent to the scattering problem.
作者 孟品超 姜志侠 李延忠
机构地区 长春理工大学理学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2012年第6期1151-1155,共5页 Journal of Jilin University:Science Edition
基金 吉林省自然科学基金(编号:201115161)
关键词 衍射光栅 散射问题 变分问题 diffractive grating scattering problem variational problem
分类号 O241.8 [理学—计算数学]
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参考文献8

二级参考文献42

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共引文献7

同被引文献11

  • 1BAO Gang, Cowsar L, Masters W. Mathematical Modeling in Optical Science [M]. Philadelphia: Frontiers in Applied Mathematics, 2001.
  • 2BAO Gang. Numerical Analysis of Diffraction by Periodic Structures: TM Polarization [J]. Numer Math, 1996, 75(1) : 1-16.
  • 3BAG Gang, CAO Yan zhao, YANG Hong-tao. Numerical Solution of Diffraction Problems by a Least-Squares Finite Element Method [J]. Math Methods Appl Sci, 2000, 23(12) : 1073-1092.
  • 4BAO Gang, CHEN Zhi ming, WU Hai-jun. Adaptive Finite-Element Method for Diffraction Gratings [J]. J Opt Soc Am A, 2005, 22(6): 1106-1114.
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  • 6Moiola A, Hiptmair R, Perugia I. Plane Wave Approximation of Homogeneous Helmholtz Solutions [J]. Z Angew Math Phys, 2011, 62(5): 809-837.
  • 7郑恩希.非多项式最小二乘有限元法在几种散射问题中的应用[D].长春:吉林大学,2012.
  • 8ZHENG En-xi, MA Fu-ming, ZHANG De-yue. A 1.east-Squares Non-polynomial Finite Element Method for Solving the Polygonal-Line Grating Problem [J]. Journal of Mathematical Analysis and Applications, 2013, 397(2) : 550-560.
  • 9尹伟石,张德悦,马富明.光栅散射问题数值计算的积分方程方法[J].吉林大学学报（理学版）,2009,47(6):1112-1120. 被引量：4
  • 10栾天,马富明.粗糙曲面上各向异性介质层散射问题的适定性[J].吉林大学学报（理学版）,2012,50(2):213-218. 被引量：2

引证文献2

二级引证文献7

吉林大学学报（理学版）
2012年 第6期

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