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Volume 27, Issue 2
The New Operator Marching Method on Calculating the Electromagnetic Scattered Fields from the Periodic Structures

Yu Mao Wu, Ke Wei Chen, Jun Hu, Haijing Zhou, Yang Liu & Lijun Yuan

DOI: 10.4208/cicp.OA-2017-0228

Commun. Comput. Phys., 27 (2020), pp. 569-588.

Published online: 2019-12

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  • Abstract

In this work, the operator marching methods based on the modified Neumann-to-Dirichlet (NtD) map are developed to calculate the scattered fields from the periodic structures, especially diffraction gratings with metallic material. For the grating structures coated with the metallic material, the modified NtD map operator marching scheme is numerically stable for calculating the electromagnetic scattered fields. The modified NtD map operators are constructed by the integral equation (IE) method in each homogeneous medium of the layered medium structures, and avoid the blow up of the condition numbers from the challenging metallic material with the complex refractive index. For the calculations of the scattered fields from the diffraction grating structures, the modified NtD map operator marching method takes advantage of the periodic structure features, and avoids the calculations of the complicated quasi-periodic Green's function. Numerical results demonstrate that the proposed method achieves high accuracy and low computational workload for the scattered fields from both the dielectric and metallic diffraction grating structures.

  • Keywords

Periodic structures, wave propagation problem, modified Neumann-to-Dirichlet map, integral equation method.

  • AMS Subject Headings

78M25, 78M16, 78A45

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

yumaowu@fudan.edu.cn (Yu Mao Wu)

kwchen13@fudan.edu.cn (Ke Wei Chen)

hujun@usetc.edu.cn (Jun Hu)

zhou_haijing@iapcm.ac.cn (Haijing Zhou)

liu_yang@iapcm.ac.cn (Yang Liu)

yuanlijun.ma@gmail.com (Lijun Yuan)

  • BibTex
  • RIS
  • TXT
@Article{CiCP-27-569, author = {Wu , Yu MaoChen , Ke WeiHu , JunZhou , HaijingLiu , Yang and Yuan , Lijun}, title = {The New Operator Marching Method on Calculating the Electromagnetic Scattered Fields from the Periodic Structures}, journal = {Communications in Computational Physics}, year = {2019}, volume = {27}, number = {2}, pages = {569--588}, abstract = {

In this work, the operator marching methods based on the modified Neumann-to-Dirichlet (NtD) map are developed to calculate the scattered fields from the periodic structures, especially diffraction gratings with metallic material. For the grating structures coated with the metallic material, the modified NtD map operator marching scheme is numerically stable for calculating the electromagnetic scattered fields. The modified NtD map operators are constructed by the integral equation (IE) method in each homogeneous medium of the layered medium structures, and avoid the blow up of the condition numbers from the challenging metallic material with the complex refractive index. For the calculations of the scattered fields from the diffraction grating structures, the modified NtD map operator marching method takes advantage of the periodic structure features, and avoids the calculations of the complicated quasi-periodic Green's function. Numerical results demonstrate that the proposed method achieves high accuracy and low computational workload for the scattered fields from both the dielectric and metallic diffraction grating structures.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0228}, url = {http://global-sci.org/intro/article_detail/cicp/13459.html} }
TY - JOUR T1 - The New Operator Marching Method on Calculating the Electromagnetic Scattered Fields from the Periodic Structures AU - Wu , Yu Mao AU - Chen , Ke Wei AU - Hu , Jun AU - Zhou , Haijing AU - Liu , Yang AU - Yuan , Lijun JO - Communications in Computational Physics VL - 2 SP - 569 EP - 588 PY - 2019 DA - 2019/12 SN - 27 DO - http://doi.org/10.4208/cicp.OA-2017-0228 UR - https://global-sci.org/intro/article_detail/cicp/13459.html KW - Periodic structures, wave propagation problem, modified Neumann-to-Dirichlet map, integral equation method. AB -

In this work, the operator marching methods based on the modified Neumann-to-Dirichlet (NtD) map are developed to calculate the scattered fields from the periodic structures, especially diffraction gratings with metallic material. For the grating structures coated with the metallic material, the modified NtD map operator marching scheme is numerically stable for calculating the electromagnetic scattered fields. The modified NtD map operators are constructed by the integral equation (IE) method in each homogeneous medium of the layered medium structures, and avoid the blow up of the condition numbers from the challenging metallic material with the complex refractive index. For the calculations of the scattered fields from the diffraction grating structures, the modified NtD map operator marching method takes advantage of the periodic structure features, and avoids the calculations of the complicated quasi-periodic Green's function. Numerical results demonstrate that the proposed method achieves high accuracy and low computational workload for the scattered fields from both the dielectric and metallic diffraction grating structures.

Wu , Yu MaoChen , Ke WeiHu , JunZhou , HaijingLiu , Yang and Yuan , Lijun. (2019). The New Operator Marching Method on Calculating the Electromagnetic Scattered Fields from the Periodic Structures. Communications in Computational Physics. 27 (2). 569-588. doi:10.4208/cicp.OA-2017-0228
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