Dispersion of the Nonlinear Optical Susceptibility in Single‐Wall Carbon Nanotubes

Abstract

We have calculated the dispersive behavior of the third‐order nonlinear susceptibility χ(3) (−ω3; ω1, ω1, −ω2) in single‐wall carbon nanotubes (SWCNTs) responsible for optical frequency mixing of the form ω3 = 2ω1 − ω2. The dispersive resonance of χ(3) (−ω3; ω1, ω1, −ω2) is shown to occur when the frequency ω3 = 2ω1 − ω2 is generated near the band gap of SWCNTs due to three‐wave mixing. A very sharp peak of χ(3) (−ω3; ω1, ω1, −ω2) reaching extremely high values ∼10−4 esu at the newly generated frequency ω3 can be observed when not only ω3 is close to the band gap of the system, but also when the frequencies of incident fields are near such a resonance.