hig.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard-cite-them-right
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • sv-SE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • de-DE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
On the Existence of an Infinite Spectrum of Damped Leaky TE-Polarized Waves in an Open Inhomogeneous Cylindrical Metal–Dielectric Waveguide Coated with a Graphene Layer
Penza State University, Penza, 440026, Russia.
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics. Penza State University, Penza, 440026, Russia.ORCID iD: 0000-0003-0168-0282
2023 (English)In: Differential equations, ISSN 0012-2661, E-ISSN 1608-3083, Vol. 59, no 9, p. 1193-1198Article in journal (Refereed) Published
Abstract [en]

We consider the problem of leaky waves in an inhomogeneous waveguide structure coveredwith a layer of graphene, which is reduced to a boundary value problem for the longitudinalcomponents of the electromagnetic field in Sobolev spaces. A variational statement of the problemis used to determine the solution. The variational problem is reduced to the study of an operatorfunction. The properties of the operator function necessary for the analysis of its spectralproperties are investigated. Theorems on the discreteness of the spectrum and on the distributionof the characteristic numbers of the operator function on the complex plane are proved. 

Place, publisher, year, edition, pages
Springer , 2023. Vol. 59, no 9, p. 1193-1198
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-43368DOI: 10.1134/s0012266123090057ISI: 001107261500003Scopus ID: 2-s2.0-85177681178OAI: oai:DiVA.org:hig-43368DiVA, id: diva2:1816573
Available from: 2023-12-04 Created: 2023-12-04 Last updated: 2024-01-12Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records

Smolkin, Eugene

Search in DiVA

By author/editor
Smolkin, Eugene
By organisation
Mathematics
In the same journal
Differential equations
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 53 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard-cite-them-right
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • sv-SE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • de-DE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf