Numerical Simulation of Grating Structures Incorporating Two-Dimensional Materials: A High-Order Perturbation of Surfaces Framework

DOI10.1137/17M1123481zbMath1388.78008OpenAlexW2781866564MaRDI QIDQ4602485

David P. Nicholls

Publication date: 11 January 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1123481

zbMATH Keywords

Helmholtz equationDirichlet-Neumann operatorscurved interfacesgraphenesurface plasmon resonancediffraction gratingshigh-order spectral methodsplasmonicshigh-order perturbation of surfaces methodstwo-dimensional materials

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Technical applications of optics and electromagnetic theory (78A55) Statistical mechanics of plasmas (82D10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Maxwell equations (35Q61) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

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