Diffraction by a Defect in an Open Waveguide: A Mathematical Analysis Based on a Modal Radiation Condition
From MaRDI portal
Publication:3575167
DOI10.1137/080740155zbMath1193.35018OpenAlexW2094621777MaRDI QIDQ3575167
Lahcène Chorfi, Ghania Dakhia, Christophe Hazard, Anne-Sophie Bonnet-Ben Dhia
Publication date: 7 July 2010
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/080740155
Integral representations of solutions to PDEs (35C15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items
A Rellich type theorem for the Helmholtz equation in a conical domain ⋮ A Bloch Wave Numerical Scheme for Scattering Problems in Periodic Wave-Guides ⋮ The factorization and monotonicity method for the defect in an open periodic waveguide ⋮ A scattering problem for a local perturbation of an open periodic waveguide ⋮ A Bayesian scheme for reconstructing obstacles in acoustic waveguides ⋮ Radiation conditions for the Helmholtz equation in a half plane filled by inhomogeneous periodic material ⋮ Reconstruction of a defect in an open waveguide ⋮ Outgoing wave conditions in photonic crystals and transmission properties at interfaces ⋮ Spectra of open waveguides in periodic media ⋮ The spectrum, radiation conditions and the Fredholm property for the Dirichlet Laplacian in a perforated plane with semi-infinite inclusions ⋮ Scattering by a periodic tube in R3 : part i. The limiting absorption principle* ⋮ The uniqueness and existence of solutions for the 3-D Helmholtz equation in a stratified medium with unbounded perturbation ⋮ The Complex-Scaled Half-Space Matching Method ⋮ Open waveguides in a thin Dirichlet ladder. I: Asymptotic structure of the spectrum
