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Creating and controlling band gaps in periodic media with small resonators

The result's identifiers

  • 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>

Alternative languages

  • 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

Classification

  • 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

Result continuities

  • 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

Others

  • Publication year

    2023

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Mathematical Physics Analysis Geometry

  • ISSN

    1812-9471

  • e-ISSN

    1817-5805

  • Volume of the periodical

    19

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    UA - UKRAINE

  • Number of pages

    26

  • Pages from-to

    456-481

  • UT code for WoS article

    001103390200007

  • EID of the result in the Scopus database

    2-s2.0-85166548674