Creating and controlling band gaps in periodic media with small resonators

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F23%3A00574965" target="_blank" >RIV/61389005:_____/23:00574965 - isvavai.cz</a>
Alternative codes found
RIV/62690094:18470/23:50020852
Result on the web
<a href="https://doi.org/10.15407/mag19.02.456" target="_blank" >https://doi.org/10.15407/mag19.02.456</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.15407/mag19.02.456" target="_blank" >10.15407/mag19.02.456</a>

Result language
angličtina
Original language name
Creating and controlling band gaps in periodic media with small resonators
Original language description
We investigate spectral properties of the Neumann Laplacian Aε on a periodic unbounded domain Ωε depending on a small parameter ε > 0. The domain Ωε is obtained by removing from Rn m ∈ N families of ε-periodically distributed small resonators. We prove that the spectrum of Aε has at least m gaps. The first m gaps converge as ε → 0 to some intervals whose location and lengths can be controlled by a suitable choice of the resonators. Other gaps (if any) go to infinity. An application to the theory of photonic crystals is discussed.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA21-07129S" target="_blank" >GA21-07129S: New Effects from Time-Reversal Non-Invariance</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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