# Resonant alteration of propagation in guiding structures with complex Robin parameter and its magnetic-field-induced restoration

@article{Olendski2011ResonantAO,
title={Resonant alteration of propagation in guiding structures with complex Robin parameter and its magnetic-field-induced restoration},
author={Oleg Olendski},
journal={arXiv: Mesoscale and Nanoscale Physics},
year={2011}
}
• O. Olendski
• Published 1 March 2011
• Physics
• arXiv: Mesoscale and Nanoscale Physics
13 Citations

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## References

SHOWING 1-10 OF 215 REFERENCES
Analytical and numerical study of a curved planar waveguide with combined Dirichlet and Neumann boundary conditions in a uniform magnetic field
• Physics
• 2008
A model of a thin straight strip with a uniformly curved section and with different uniform boundary conditions on the opposite edges subjected to the homogeneous magnetic field $\mathbf{B}$ is
Theory of a curved planar waveguide with Robin boundary conditions.
• Physics
Physical review. E, Statistical, nonlinear, and soft matter physics
• 2010
It is shown that the bound state below the first transverse threshold of the straight arm always exists if the inner extrapolation length is not larger than the outer one, and conditions of the bound-state existence for the different Robin parameters on the opposite edges are analyzed.
Localized-mode evolution in a curved planar waveguide with combined Dirichlet and Neumann boundary conditions.
• Physics
Physical review. E, Statistical, nonlinear, and soft matter physics
• 2003
It is pointed out that the properties of the waveguide with the Neumann inner condition and the Dirichlet outer one mimic the duct with theNeumann requirements on the two sides, since for both these cases the propagation threshold in the curved section is greater than in the straight channel.
Sound propagation in slowly varying lined flow ducts of arbitrary cross-section
Sound transmission through ducts of constant cross-section with a uniform inviscid mean flow and a constant acoustic lining (impedance wall) is classically described by a modal expansion, where the
Waveguides with Combined Dirichlet and Robin Boundary Conditions
• Mathematics
• 2006
We consider the Laplacian in a curved two-dimensional strip of constant width squeezed between two curves, subject to Dirichlet boundary conditions on one of the curves and variable Robin boundary
$$\mathcal {PT}$$ -Symmetric Waveguides
• Mathematics
• 2007
Abstract.We introduce a planar waveguide of constant width with non-Hermitian $$\mathcal {PT}$$ -symmetric Robin boundary conditions. We study the spectrum of this system in the regime when the
Casimir energy with a Robin boundary: the multiple-reflection cylinder-kernel expansion
• Physics
• 2006
We compute the vacuum energy of a massless scalar field obeying a Robin boundary condition ((∂/∂ x) = β ) on one plate and the Dirichlet boundary condition ( = 0) on a parallel plate. The Casimir
Resonance regimes of scattering by small bodies with impedance boundary conditions
• Mathematics
• 2010
The paper concerns scattering of plane waves by a bounded obstacle with complex-valued impedance boundary conditions. We study the spectrum of the Neumann-to-Dirichlet operator for small wave numbers