The New Operator Marching Method on Calculating the Electromagnetic Scattered Fields from the Periodic Structures

Authors

  • Yu Mao Wu Key Laboratory for Information Science of Electromagnetic Waves (MoE), School of Information Science and Technology, Fudan University, Shanghai, China
  • Ke Wei Chen Key Laboratory for Information Science of Electromagnetic Waves (MoE), School of Information Science and Technology, Fudan University, Shanghai, China
  • Jun Hu School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China
  • Haijing Zhou Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
  • Yang Liu Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
  • Lijun Yuan College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China

DOI:

https://doi.org/10.4208/cicp.OA-2017-0228

Keywords:

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

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.

Published

2019-12-07

Issue

Section

Articles