Bound states in coupled guides. I. Two dimensions

DOI10.1063/1.1675931zbMath1068.81030OpenAlexW1991851080MaRDI QIDQ4833362

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Publication date: 15 December 2004

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

Full work available at URL: https://semanticscholar.org/paper/c9702c3de151690459a679f4b126bde2778e27c3

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) General mathematical topics and methods in quantum theory (81Q99) Applications of statistical mechanics to specific types of physical systems (82D99)

Related Items (6)

Trapped modes in topographically varying elastic waveguides ⋮ Embedded trapped modes in water waves and acoustics ⋮ Weakly nonlinear theory for a gate-type curved array in waves ⋮ Acoustic resonances and trapped modes in annular plate cascades ⋮ Trapped edge waves in stratified rotating fluids: numerical and asymptotic results ⋮ Weakly nonlinear theory for oscillating wave surge converters in a channel

Cites Work

• Trapped modes for off-centre structures in guides
• Embedded Trapped Modes for Obstacles in Two-Dimensional Waveguides
• Eigenvalue inclusions via domain decomposition
• The Branch Structure of Embedded Trapped Modes in Two-Dimensional Waveguides
• Bound states in curved quantum waveguides
• Trapped modes in cylindrical waveguides
• Trapped modes in acoustic waveguides
• Trapped modes embedded in the continuous spectrum
• Examples of embedded eigenvalues for problems in acoustic waveguides
• Bound-state asymptotic estimates for window-coupled Dirichlet strips and layers
• TRAPPED MODE FREQUENCIES EMBEDDED IN THE CONTINUOUS SPECTRUM
• Existence theorems for trapped modes
• Weakly coupled bound states in quantum waveguides
• Three laterally coupled quantum waveguides: breaking of symmetry and resonance asymptotics
• Trapped modes in a waveguide with a long obstacle
• Asymptotics of bound states and bands for laterally coupled waveguides and layers
• Asymptotic approximations for functions defined by series, with some applications to the theory of guided waves
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
• Bound states and scattering in quantum waveguides coupled laterally through a boundary window
• THE PROPAGATION OF AN ELECTROMAGNETIC WAVE ALONG AN INFINITE CORRUGATED SURFACE

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