Discrete spectrum of cranked, branching, and periodic waveguides
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Publication:5389611
DOI10.1090/S1061-0022-2012-01200-8zbMath1238.35075OpenAlexW2090690270MaRDI QIDQ5389611
Publication date: 22 April 2012
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s1061-0022-2012-01200-8
Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Variational methods for second-order elliptic equations (35J20)
Related Items (18)
Open waveguides in a thin Dirichlet lattice. II: Localized waves and radiation conditions ⋮ Existence of the discrete spectrum in the Fichera layers and crosses of arbitrary dimension ⋮ Spectrum of a problem of elasticity theory in the union of several infinite layers ⋮ Discrete spectrum of cranked quantum and elastic waveguides ⋮ Dirichlet fractional Laplacian in multi-tubes ⋮ Spectra of three-dimensional cruciform and lattice quantum waveguides ⋮ Spectral gaps in a thin-walled infinite rectangular Dirichlet box with a periodic family of cross walls ⋮ Spectrum of the Dirichlet Laplacian in a thin cubic lattice ⋮ Localization of eigenfunctions in the Dirichlet beaker ⋮ BOUND STATES IN WEAKLY DEFORMED WAVEGUIDES: NUMERICAL VERSUS ANALYTICAL RESULTS ⋮ On Brownian exit times from perturbed multi-strips ⋮ Eigenvalue inequalities and absence of threshold resonances for waveguide junctions ⋮ Transmission conditions in one-dimensional model of a rectangular lattice of thin quantum waveguides ⋮ Trapped modes in angular joints of 2D waveguides ⋮ Bound states of waveguides with two right-angled bends ⋮ Trapping of a wave in a curved cylindrical acoustic waveguide with constant cross-section ⋮ Asymptotics of the eigenvalues and eigenfunctions of a thin square Dirichlet lattice with a curved ligament ⋮ Open waveguides in a thin Dirichlet ladder. I: Asymptotic structure of the spectrum
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