Gap Opening Around a Given Point of the Spectrum of a Cylindrical Waveguide by Means of a Gentle Periodic Perturbation of Walls

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Abstract

© 2015, Springer Science+Business Media New York.One of the main questions in band-gap engineering is discussed. Namely, by an asymptotic analysis it is proved that any given point of a certain interval in the spectrum of a cylindric waveguide can be surrounded with a spectral gap by means of a periodic perturbation of the walls. Both of the Dirichlet and Neumann boundary conditions for the Laplace operator are considered in planar and multidimensional waveguides. Bibliography: 28 titles.
Original languageEnglish
Pages (from-to)288-314
JournalJournal of Mathematical Sciences
Volume206
Issue number3
DOIs
Publication statusPublished - 2015

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Circular waveguides
Waveguide
Waveguides
Perturbation
Asymptotic analysis
Spectral Gap
Bibliographies
Laplace Operator
Band Gap
Neumann Boundary Conditions
Asymptotic Analysis
Dirichlet Boundary Conditions
Mathematical operators
Energy gap
Boundary conditions
Engineering
Interval
Industry
Bibliography
Business

Cite this

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title = "Gap Opening Around a Given Point of the Spectrum of a Cylindrical Waveguide by Means of a Gentle Periodic Perturbation of Walls",
abstract = "{\circledC} 2015, Springer Science+Business Media New York.One of the main questions in band-gap engineering is discussed. Namely, by an asymptotic analysis it is proved that any given point of a certain interval in the spectrum of a cylindric waveguide can be surrounded with a spectral gap by means of a periodic perturbation of the walls. Both of the Dirichlet and Neumann boundary conditions for the Laplace operator are considered in planar and multidimensional waveguides. Bibliography: 28 titles.",
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AB - © 2015, Springer Science+Business Media New York.One of the main questions in band-gap engineering is discussed. Namely, by an asymptotic analysis it is proved that any given point of a certain interval in the spectrum of a cylindric waveguide can be surrounded with a spectral gap by means of a periodic perturbation of the walls. Both of the Dirichlet and Neumann boundary conditions for the Laplace operator are considered in planar and multidimensional waveguides. Bibliography: 28 titles.

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