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

Verfasser / Beitragende:
[S. Nazarov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 206/3(2015-04-01), 288-314
Format:
Artikel (online)
ID: 605524238
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024 7 0 |a 10.1007/s10958-015-2312-x  |2 doi 
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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