A variational method for electromagnetic diffraction in biperiodic structures

DOI10.1051/m2an/1994280404191zbMath0820.65087OpenAlexW2585666200MaRDI QIDQ4698877

David C. Dobson

Publication date: 11 May 1995

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193746

zbMATH Keywords

variational methodnumerical experimentelectromagnetic diffractionbiperiodic structurestime-harmonic electromagnetic plane wave

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Applications to the sciences (65Z05)

Related Items (21)

EXISTENCE, UNIQUENESS AND REGULARITY FOR SOLUTIONSV OF THE CONICAL DIFFRACTION PROBLEM ⋮ SCATTERING OF PLANE ELASTIC WAVES BY THREE-DIMENSIONAL DIFFRACTION GRATINGS ⋮ Inverse medium scattering from periodic structures with fixed-direction incoming waves ⋮ A volume integral equation method for periodic scattering problems for anisotropic Maxwell's equations ⋮ Joint Geometry/Frequency Analyticity of Fields Scattered by Periodic Layered Media ⋮ A stable high-order perturbation of surfaces method for numerical simulation of diffraction problems in triply layered media ⋮ Substantiation of the field functional method as applied to scattering by a doubly periodic magnetodielectric structure ⋮ Inverse electromagnetic diffraction by biperiodic dielectric gratings ⋮ Numerical Simulation of Grating Structures Incorporating Two-Dimensional Materials: A High-Order Perturbation of Surfaces Framework ⋮ A high-order perturbation of envelopes (HOPE) method for scattering by periodic inhomogeneous media ⋮ Analytical investigation of an integral equation method for electromagnetic scattering by biperiodic structures ⋮ A Rigorous Numerical Analysis of the Transformed Field Expansion Method for Diffraction by Periodic, Layered Structures ⋮ Discrete singular convolution method with perfectly matched absorbing layers for the wave scattering by periodic structures ⋮ High-Order Spectral Simulation of Graphene Ribbons ⋮ On analyticity of linear waves scattered by a layered medium ⋮ Variational approach to scattering of plane elastic waves by diffraction gratings ⋮ Analysis of time-domain Maxwell's equations in biperiodic structures ⋮ On the properties of quasi-periodic boundary integral operators for the Helmholtz equation ⋮ An inverse problem for scattering by a doubly periodic structure ⋮ Direct and inverse problems for electromagnetic scattering by a doubly periodic structure with a partially coated dielectric ⋮ On the scattering by a biperiodic structure

Cites Work

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• Numerical Analysis of the Exterior Boundary Value Problem for the Time- Harmonic Maxwell Equations by a Boundary Finite Element Method Part 2: The Discrete Problem
• Maxwell's Equations in a Periodic Structure
• Integral Equation Methods in a Quasi-Periodic Diffraction Problem for the Time-Harmonic Maxwell’s Equations
• Diffusion électromagnétique à basse fréquence par un réseau de cylindres diélectriques. Étude numérique
• Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain
• Elliptic Partial Differential Equations of Second Order

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