Analysis of the rigorous coupled wave approach for \(s\)-polarized light in gratings

DOI10.1016/j.cam.2019.112478zbMath1433.78021arXiv1904.12822OpenAlexW2975043796MaRDI QIDQ2291981

Benjamin J. Civiletti, Akhlesh Lakhtakia, Peter B. Monk

Publication date: 31 January 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.12822

zbMATH Keywords

convergencevariational methodsRCWAgrating

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fourier series and coefficients in several variables (42B05) Waves and radiation in optics and electromagnetic theory (78A40) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (3)

Hybridization of the rigorous coupled-wave approach with transformation optics for electromagnetic scattering by a surface-relief grating ⋮ Analysis of the rigorous coupled wave approach for \(p\)-polarized light in gratings ⋮ An asymptotic model based on matching far and near field expansions for thin gratings problems

Uses Software

• NGSolve
• Solcore

Cites Work

• Photonic crystals. Mathematical analysis and numerical approximation.
• The mathematics of scattering by unbounded, rough, inhomogeneous layers
• The RCWA method - A case study with open questions and perspectives of algebraic computations
• The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances
• Corrigendum to: ``Coupled optoelectronic simulation and optimization of thin-film photovoltaic solar cells
• Analysis of the Zienkiewicz-Zhua-posteriori error estimator in the finite element method
• Modern Optics
• A variational method for wave scattering from penetrable rough layers
• An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
• An Adaptive Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by Periodic Structures
• Maxwell's equations in periodic chiral structures
• The Mathematical Theory of Finite Element Methods
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