Gap Opening Around a Given Point of the Spectrum of a Cylindrical Waveguide by Means of a Gentle Periodic Perturbation of Walls
Gespeichert in:
Verfasser / Beitragende:
[S. Nazarov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 206/3(2015-04-01), 288-314
Format:
Artikel (online)
Online Zugang:
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| 100 | 1 | |a Nazarov |D S. |u St. Petersburg State University, St.Petersburg State Polytechnical University, Institute of Problems of Mechanical Engineering RAS, St. Petersburg, Russia |4 aut | |
| 245 | 1 | 0 | |a Gap Opening Around a Given Point of the Spectrum of a Cylindrical Waveguide by Means of a Gentle Periodic Perturbation of Walls |h [Elektronische Daten] |c [S. Nazarov] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 206/3(2015-04-01), 288-314 |x 1072-3374 |q 206:3<288 |1 2015 |2 206 |o 10958 | |
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| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Nazarov |D S. |u St. Petersburg State University, St.Petersburg State Polytechnical University, Institute of Problems of Mechanical Engineering RAS, St. Petersburg, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 206/3(2015-04-01), 288-314 |x 1072-3374 |q 206:3<288 |1 2015 |2 206 |o 10958 | ||