Loading [MathJax]/jax/output/SVG/config.js
Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Journal of Siberian Federal University. Mathematics & Physics, 2023, Volume 16, Issue 1, Pages 76–86 (Mi jsfu1058)  
Effective dielectric permeability of a medium with periodic inclusions

Vladimir P. Kazantsev, Oleg A. Zolotov, Irina A. Baranova, Viktor E. Zalizniak

Siberian Federal University, Krasnoyarsk, Russian Federation
Full-text PDF (732 kB)
References:
PDF
HTML
Abstract: A method for estimating the effective dielectric permittivity tensor is described in the paper. The method is based on variational principle for media with periodic inclusions. It allows one to obtain upper and lower bounds for possible values of the dielectric permittivity of a two-component system. Numerical results for composite structures with dielectric (metal) cubical and spherical inclusions are presented.
Keywords: effective dielectric permittivity tensor, variational principle, periodic inclusionseffective dielectric permittivity tensor, variational principle, periodic inclusions.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2022-873
This work was supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation in the framework of the establishment and development of regional Centers for Mathematics Research and Education (Agreement no. 075-02-2022-873).
Received: 28.09.2022
Received in revised form: 14.10.2022
Accepted: 26.11.2022
Bibliographic databases:
Document Type: Article
UDC: 51-73, 517.9, 537.2
Language: English
Citation: Vladimir P. Kazantsev, Oleg A. Zolotov, Irina A. Baranova, Viktor E. Zalizniak, “Effective dielectric permeability of a medium with periodic inclusions”, J. Sib. Fed. Univ. Math. Phys., 16:1 (2023), 76–86
Citation in format AMSBIB
\Bibitem{KazZolBar23}
\by Vladimir~P.~Kazantsev, Oleg~A.~Zolotov, Irina~A.~Baranova, Viktor~E.~Zalizniak
\paper Effective dielectric permeability of a medium with periodic inclusions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2023
\vol 16
\issue 1
\pages 76--86
\mathnet{http://mi.mathnet.ru/jsfu1058}
\edn{https://elibrary.ru/NMLQLK}
Linking options:
  • https://www.mathnet.ru/eng/jsfu1058
  • https://www.mathnet.ru/eng/jsfu/v16/i1/p76
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
    Statistics & downloads:
    Abstract page:85
    Full-text PDF :52
    References:24
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025