Resonances for Maxwell's equations in a periodic structure

DOI10.1007/BF03167342zbMath1306.78003MaRDI QIDQ2258381

Natacha Béreux, Jean-Claude Nédélec, Habib Ammari

Publication date: 3 March 2015

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

zbMATH Keywords

Maxwell equationscharacteristic numbersresonancessingular integral equationintegral operatorsintegrals of Cauchy typegeneralized Rouché's theoremHilbert inversion formulae

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45)

Related Items (3)

Asymptotic of the Green function for the diffraction by a perfectly conducting plane perturbed by a sub-wavelength rectangular cavity ⋮ Layer potential techniques in spectral analysis. Part I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions ⋮ Analysis of the radiation properties of a planar antenna on a photonic crystal substrate

Cites Work

• The Dirichlet problem for the two-dimensional Helmholtz equation for an open boundary
• Meromorphic families of compact operators
• Maxwell's Equations in a Periodic Structure
• Integral Equation Methods in a Quasi-Periodic Diffraction Problem for the Time-Harmonic Maxwell’s Equations
• Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain
• ANALYTIC CONTINUATION WITH RESPECT TO A PARAMETER OF THE GREEN'S FUNCTIONS OF EXTERIOR BOUNDARY VALUE PROBLEMS FOR THE TWO-DIMENSIONAL HELMHOLTZ EQUATION. III
• Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem
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