New reformulation of the Fourier modal method with spatial adaptive resolution for multilayered metallic strip grating

Elamine, H.; Guizal, Brahim; Oueslati, M.; Gharbi, Tijani

doi:10.1016/j.optcom.2010.06.044

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2019

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“…The parametric formulation of CBCM in [12] improves the convergence rate, the computational efficiency, and the numerical accuracy. In [13] the authors employ this improved method in multilayered structures of strip gratings. More references about CBCM can be found in [14].…”

Section: Introductionmentioning

confidence: 99%

Galerkin method for the scattering problem of strip gratings

Zheng

Wang

2019

Adv Differ Equ

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In this paper, the diffraction problem of periodic strip gratings is considered. The previous study of this problem usually concentrated on the numerical method; however, we try to analyze this problem and the convergence of the numerical solution from the mathematical point of view in this work. By use of the Dirichlet to Neumann operator on the slit between two strips, we reformulate the problem to an operator equation. The well-posedness of the solution to the operator equation is proved. The Galerkin method is applied to solve this operator equation and the convergence result of the numerical solution is also derived. Finally, some numerical experiments are presented to show the effectiveness of our method and verify the theoretical convergence result.

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Section: Introductionmentioning

confidence: 99%