An Adaptive Finite Element Method with a Modified Perfectly Matched Layer Formulation for Diffraction Gratings

被引：0

作者：

Chen, Jie ^{[1
]}

Wang, Desheng ^{[1
]}

Wu, Haijun ^{[2
]}

机构：

[1] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore

[2] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2009年 / 6卷 / 02期

关键词：

Diffraction grating; adaptive finite element method; PML; a posteriori error estimates; INTEGRAL-EQUATION; SCATTERING; CONVERGENCE;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For numerical simulation of one-dimensional diffraction gratings both in TE and TM polarization, an enhanced adaptive finite element method is proposed in this paper. A modified perfectly matched layer (PML) formulation is proposed for the truncation of the unbounded domain, which results in a homogeneous Dirichlet boundary condition and the corresponding error estimate is greatly simplified. The a posteriori error estimates for the adaptive finite element method are provided. Moreover, a lower bound is obtained to demonstrate that the error estimates obtained are sharp.

引用

页码：290 / 318

页数：29

共 50 条

[1] A finite element formulation for perfectly matched layer
Xu, XM
Zhou, H
Emson, CRI
Trowbridge, CW
Shirkoohi, GH
[J]. ELECTROMAGNETIC FIELD PROBLEMS AND APPLICATIONS (ICEF '96), 1997, : 96 - 99
[2] Adaptive perfectly matched layer for Wood's anomalies in diffraction gratings
Vial, Benjamin
Zolla, Frederic
Nicolet, Andre
Commandre, Mireille
Tisserand, Stephane
[J]. OPTICS EXPRESS, 2012, 20 (27): : 28094 - 28105
[3] A perfectly matched layer for finite-element calculations of diffraction by metallic surface-relief gratings
Rivas, Cinthya
Rodriguez, Rodolfo
Solano, Manuel E.
[J]. WAVE MOTION, 2018, 78 : 68 - 82
[4] A two-dimensional finite element formulation of the perfectly matched layer
Polycarpou, AC
Lyons, MR
Balanis, CA
[J]. IEEE MICROWAVE AND GUIDED WAVE LETTERS, 1996, 6 (09): : 338 - 340
[5] Perfectly matched layer for the time domain finite element method
Rylander, T
Jin, JM
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 200 (01) : 238 - 250
[6] Adaptive finite-element method for diffraction gratings
Bao, G
Chen, ZM
Wu, HJ
[J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2005, 22 (06) : 1106 - 1114
[7] Seismic wavefield simulation by a modified finite element method with a perfectly matched layer absorbing boundary
Meng, Weijuan
Fu, Li-Yun
[J]. JOURNAL OF GEOPHYSICS AND ENGINEERING, 2017, 14 (04) : 852 - 864
[8] Solution of electromagnetic inverse medium scattering problems by the adaptive finite element method and perfectly matched layer
Rachowicz, Waldemar
[J]. INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2013, 21 (06) : 968 - 986
[9] Wave Equation Simulation by Finite-Element Method with Perfectly Matched Layer
Guo, Hongwei
Wang, Shangxu
Guo, Naichuan
Chen, Wei
[J]. NATURAL RESOURCES AND SUSTAINABLE DEVELOPMENT II, PTS 1-4, 2012, 524-527 : 96 - 100
[10] Finite element beam propagation method with perfectly matched layer boundary conditions
Koshiba, M
Tsuji, Y
Hikari, M
[J]. IEEE TRANSACTIONS ON MAGNETICS, 1999, 35 (03) : 1482 - 1485

← 1 2 3 4 5 →