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Gap Opening Around a Given Point of the Spectrum of a Cylindrical Waveguide by Means of a Gentle Periodic Perturbation of Walls. / Nazarov, S.A.

In: Journal of Mathematical Sciences, Vol. 206, No. 3, 2015, p. 288-314.

Research output: Contribution to journal › Article › peer-review

Harvard

Nazarov, SA 2015, 'Gap Opening Around a Given Point of the Spectrum of a Cylindrical Waveguide by Means of a Gentle Periodic Perturbation of Walls', Journal of Mathematical Sciences, vol. 206, no. 3, pp. 288-314. https://doi.org/10.1007/s10958-015-2312-x

APA

Nazarov, S. A. (2015). Gap Opening Around a Given Point of the Spectrum of a Cylindrical Waveguide by Means of a Gentle Periodic Perturbation of Walls. Journal of Mathematical Sciences, 206(3), 288-314. https://doi.org/10.1007/s10958-015-2312-x

Vancouver

Nazarov SA. Gap Opening Around a Given Point of the Spectrum of a Cylindrical Waveguide by Means of a Gentle Periodic Perturbation of Walls. Journal of Mathematical Sciences. 2015;206(3):288-314. https://doi.org/10.1007/s10958-015-2312-x

Author

Nazarov, S.A. / Gap Opening Around a Given Point of the Spectrum of a Cylindrical Waveguide by Means of a Gentle Periodic Perturbation of Walls. In: Journal of Mathematical Sciences. 2015 ; Vol. 206, No. 3. pp. 288-314.

BibTeX

@article{1d437da2e0cc40ccbb9f7f4619017f5e,
title = "Gap Opening Around a Given Point of the Spectrum of a Cylindrical Waveguide by Means of a Gentle Periodic Perturbation of Walls",
abstract = "{\textcopyright} 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.",
author = "S.A. Nazarov",
year = "2015",
doi = "10.1007/s10958-015-2312-x",
language = "English",
volume = "206",
pages = "288--314",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Gap Opening Around a Given Point of the Spectrum of a Cylindrical Waveguide by Means of a Gentle Periodic Perturbation of Walls

AU - Nazarov, S.A.

PY - 2015

Y1 - 2015

N2 - © 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.

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.

U2 - 10.1007/s10958-015-2312-x

DO - 10.1007/s10958-015-2312-x

M3 - Article

VL - 206

SP - 288

EP - 314

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 4011658