Eur. Phys. J. B (2012) 85: 17
https://doi.org/10.1140/epjb/e2011-20775-7

Regular Article

Analytical solutions to zeroth-order dispersion relations of a cylindrical metallic nanowire near the backbending point

Department of Physics, Wenzhou University, Wenzhou 325035, P.R. China

^a e-mail: liwanchina@yahoo.com.cn

Received: 20 September 2011
Received in final form: 28 October 2011
Published online: 18 January 2012

Abstract

Zeroth-order complex dispersion equation of a cylindrical metallic nanowire has been solved analytically to get dispersion relations of surface plasmon-polaritons (SPPs) by approximate methods. The back bending of the dispersion relation can be well described by the analytical solutions, confirming that the back bending is originated from the metal Ohmic loss. Basing on the analytical solutions, the back bending point of the dispersion relation used for the measurement of the metallic Ohmic loss has also been suggested.