Asymptotics of bound state for laterally coupled waveguides.

DOI10.1016/S0034-4877(00)86387-9zbMath1040.78510OpenAlexW2141804166WikidataQ127289212 ScholiaQ127289212MaRDI QIDQ1973697

Igor Yu. Popov

Publication date: 8 May 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(00)86387-9

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Asymptotic analysis in optics and electromagnetic theory (78M35)

Related Items (18)

On local perturbations of waveguides ⋮ A quantum waveguide with Aharonov–Bohm magnetic field ⋮ Asymptotics of bound states and bands for laterally coupled waveguides and layers ⋮ Bound states in straight quantum waveguides with combined boundary conditions ⋮ Geometric coupling thresholds in a two-dimensional strip ⋮ Weakly coupled bound state of 2-D Schrödinger operator with potential-measure ⋮ Asymptotics of an eigenvalue on the continuous spectrum of two quantum waveguides coupled through narrow windows ⋮ Resonances for laterally coupled quantum waveguides ⋮ Lieb-Thirring inequalities for geometrically induced bound states ⋮ Asymptotics of bound states and bands for waveguides coupled through small windows. ⋮ WAVEGUIDES COUPLED THROUGH A SEMITRANSPARENT BARRIER: A BIRMAN–SCHWINGER ANALYSIS ⋮ Asymptotics of bound states and bands for laterally coupled three-dimensional waveguides ⋮ Violation of symmetry in the system of three laterally coupled quantum waveguides, and resonance asymptotics ⋮ Asymptotics of resonances and bound states for laterally coupled curved quantum waveguides ⋮ Spectral transitions for Aharonov-Bohm Laplacians on conical layers ⋮ Trapped modes in a waveguide with a thick obstacle ⋮ Electron in a multilayered magnetic structure: resonance asymptotics ⋮ Planar waveguide with “twisted” boundary conditions: Discrete spectrum

Cites Work

• On the point and continuous spectra for coupled quantum waveguides and resonators
• Eigenvalues and bands imbedded in the continuous spectrum for a system of resonators and a waveguide: Solvable model
• Bound-state asymptotic estimates for window-coupled Dirichlet strips and layers
• Existence theorems for trapped modes
• Weakly coupled bound states in quantum waveguides
• Asymptotic estimates for bound states in quantum waveguides coupled laterally through a narrow window
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
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