Absence of bound states for waveguides in two-dimensional periodic structures

DOI10.1063/1.4868480zbMath1294.78010arXiv1111.4578OpenAlexW3099763995MaRDI QIDQ5414834

Maria Radosz, Vu Phuong Hoang

Publication date: 7 May 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4578

zbMATH Keywords

self-adjoint operatorFredholm problemtwo-dimensional mediumperiodic Helmholtz operatorHelmholtz-type spectral problem

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Applications of selfadjoint operator algebras to physics (46L60) Other transforms and operators of Fourier type (43A32)

Related Items (8)

Subwavelength guided modes for acoustic waves in bubbly crystals with a line defect ⋮ On the spectrum of a multidimensional periodic magnetic Shrödinger operator with a singular electric potential ⋮ A Bloch Wave Numerical Scheme for Scattering Problems in Periodic Wave-Guides ⋮ The absence of eigenvalues for certain operators with partially periodic coefficients ⋮ A scattering problem for a local perturbation of an open periodic waveguide ⋮ Absolute continuity of the spectrum of two-dimensional Schrödinger operator with partially periodic coefficients ⋮ Outgoing wave conditions in photonic crystals and transmission properties at interfaces ⋮ An overview of periodic elliptic operators

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