Space-charge driven Second Harmonic Generation in nanometric conductors
Résumé
Abstract The properties of harmonic waves, carrying a \textit{longitudinal} electric field and a \textit{space-charge} density, made up of conduction electrons, are investigated in metals and semi-conductors with help of a \textit{classical} analysis. The associated dispersion curve is worked out. These findings are further applied to unravel a \textit{novel} second harmonic generation mechanism for an electromagnetic wave shone on a \textit{nanometric} wire, with frequency ranging from the \textit{IF} up to \textit{UV} domain. The calculated efficiency in semi-conductors might be higher by $12$ \textit{orders of magnitude} than in metals. \textit{Observable predictions} are made.