Integral equation technique for scatterers with mesoscopic insertions: Application to a carbon nanotube

M. V. Shuba*, A. V. Melnikov, P. P. Kuzhir, S. A. Maksimenko, G. Y. Slepyan, A. Boag, A. Mosca Conte, O. Pulci, S. Bellucci

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We present the electromagnetic scattering theory for a finite-length nanowire with an embedded mesoscopic object. The theory is based on a synthesis of the integral equation technique of classical electrodynamics and the quantum transport formalism. We formulate Hallén-type integral equations, where the canonical integral operators from wire antenna theory are combined with special terms responsible for the mesoscopic structure. The theory is applied to calculate the polarizability of a finite-length single-walled carbon nanotube (CNT) with a short low-conductive section (LCS) in the microwave and subterahertz ranges. The LCS is modeled as a multichannel two-electrode mesoscopic system. The effective resistive sheet impedance boundary conditions for the scattered field are applied on the CNT surface. It is shown that the imaginary part of the polarizability spectrum has three peaks. Two of them are in the terahertz range, while the third is in the gigahertz range. The polarizability spectrum of the CNT with many LCSs has only one gigahertz peak, which shifts to low frequencies as the number of LCSs increases. The physical nature of these peaks is explained, and potential applications of nanoantennas are proposed.

Original languageEnglish
Article number205414
JournalPhysical Review B
Issue number20
StatePublished - 8 Nov 2017


FundersFunder number
Belarusian Republican Foundation for Fundamental ResearchF15CO-016, FP7-612285 CANTOR, PIRSES-GA-2012-318617
Seventh Framework Programme318617, 644076, 612285


    Dive into the research topics of 'Integral equation technique for scatterers with mesoscopic insertions: Application to a carbon nanotube'. Together they form a unique fingerprint.

    Cite this