Analytical solution for electromagnetic wave scattering by metallic single-walled carbon nanotube with low-conductive insertion

  • Aliaksandr V. Melnikau Research Institute for Nuclear Problems, Belarusian State University, 11 Babrujskaja Street, Minsk 220030, Belarus
  • Mikhail V. Shuba Tomsk State University, 36 Lenin Avenue, Tomsk 634050, Russia

Abstract

The problem of electromagnetic wave scattering by single-walled carbon nanotube (CNT) with low-conductive sections (LCS) has been formulated and solved. Boundary-value problem is formulated through effective impedance boundary conditions for electric and magnetic fields on the CNT’s surface and on infinity. Boundary-value problem is reduced to a solution of Leontovich - Levin equation for the current on uniform regions of CNT; it is supplemented by edge conditions for the current on CNT ends and the continuity condition for the current through the LCS. Approximate analytical solution for the current density in uniform regions of CNT is represented as the sum of (i) two terms corresponding to the propagation of surface waves in opposite directions and (ii) the current component induced by an external field. The comparison between results of obtained analytical solution and numerical solution presented has been carried out. The comparison shows that analytical solution allows one to simulate electromagnetic wave resonant scattering by CNT with LCS with sufficiently high accuracy.

Author Biographies

Aliaksandr V. Melnikau, Research Institute for Nuclear Problems, Belarusian State University, 11 Babrujskaja Street, Minsk 220030, Belarus

junior researcher at the laboratory of  nanoelectromagnetism

Mikhail V. Shuba, Tomsk State University, 36 Lenin Avenue, Tomsk 634050, Russia

PhD (physics and mathematics); leading  researcher at the laboratory of nanoelectromagnetism, Research Institute for Nuclear Problems, Belarusian State University; senior  researcher at the laboratory of terahertz research, Tomsk State University

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Published
2019-01-20
Supporting Agencies This research has been partly supported by Belarusian Republican Foundation for Fundamental  Research under project No. Ф18КОР-002 and Tomsk State University Competitiveness Improvement Program.
How to Cite
Melnikau, A. V., & Shuba, M. V. (2019). Analytical solution for electromagnetic wave scattering by metallic single-walled carbon nanotube with low-conductive insertion. Journal of the Belarusian State University. Physics, 3, 65-73. Retrieved from https://journals.bsu.by/index.php/physics/article/view/505
Issue
No 3 (2018): Journal of the Belarusian State University. Physics
Section
Physics of Electromagnetic Phenomena

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