Eur. Phys. J. D (2015) 69: 242
https://doi.org/10.1140/epjd/e2015-60256-7

Regular Article

Interaction of a two-dimensional electromagnetic pulse with an electron inhomogeneity in an array of carbon nanotubes in the presence of field inhomogeneity

¹ Singapore University of Technology & Design, 8 Somapah Road, 487372 Singapore
² LUNAM Université, Université d’Angers, Laboratoire de Photonique d’Angers, EA 4464, 2 boulevard Lavoisier, 49000 Angers, France
³ Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania
⁴ Horia Hulubei National Institute of Physics and Nuclear Engineering, 077125 Magurele, Romania
⁵ Scientific and Industrial Corporation “Vavilov State Optical Institute”, 199034 Saint Petersburg, Russia
⁶ ITMO University, 197191 Saint Petersburg, Russia
⁷ Laboratory of Nanotechnology, Volgograd Institute of Business, 400048 Volgograd, Russia
⁸ Volgograd State University, 400062 Volgograd, Russia

^a e-mail: alexzhukov@sutd.edu.sg

Received: 27 April 2015
Received in final form: 25 August 2015
Published online: 3 November 2015

Abstract

In this study, we address the challenging problem of propagation of infrared electromagnetic two-dimensional bipolar pulses of extremely short duration in a heterogeneous array of semiconductor carbon nanotubes. Heterogeneity is defined here as a region of high electron density. The evolutions of the electromagnetic field and charge density in the sample are described by Maxwell’s equations and the continuity equation respectively, wherein the inhomogeneity of the field along the nanotube axis is integrated and incorporated into the modeling framework. Our numerical solution to this problem shows the possibility of a stable propagation of two-dimensional electromagnetic pulses through a heterogeneous array of carbon nanotubes. This propagation of electromagnetic pulses is accompanied by a redistribution of the electron density in the sample. For the first time to the best of our knowledge, this latter effect is fully accounted for in our study. Specifically, we demonstrate that depending on the initial speed of the electromagnetic pulse two possible outcomes might ensue: either (i) the pulse overcomes the region of increased electron concentration, or alternatively (ii) it is reflected therefrom. As a result, a near-infrared pulse is transmitted, while the long-wavelength infrared pulse is reflected, on an obstacle that is much smaller than its wavelength.