Scattering by the local perturbation of an open periodic waveguide in the half plane
DOI10.1016/J.JMAA.2020.124149zbMath1441.78015arXiv1906.01180OpenAlexW2948260758MaRDI QIDQ2188342
Publication date: 10 June 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.01180
PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
- The Floquet-Bloch transform and scattering from locally perturbed periodic surfaces
- A Uniqueness Result for Scattering by Infinite Rough Surfaces
- Electromagnetic scattering by an inhomogeneous conducting or dielectric layer on a perfectly conducting plate
- The Impedance Boundary Value Problem for the Helmholtz Equation in a Half-Plane
- A radiation condition arising from the limiting absorption principle for a closed full‐ or half‐waveguide problem
- The Limiting Absorption Principle and a Radiation Condition for the Scattering by a Periodic Layer
- Scattering by Rough Surfaces: the Dirichlet Problem for the Helmholtz Equation in a Non-locally Perturbed Half-plane
- Scattering by a periodic tube in R3 : part i. The limiting absorption principle*
- Scattering by a periodic tube in R3 : part ii. A radiation condition
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