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The third-order nonlinear optical property χ(3)I of a film of single-walled carbon nanotubes was studied in the infrared region. The film combines a high χ(3)I (–0.85 × 10–7 esu at resonant wavelength) with a rapid transmittance recovery (from differential transmission spectra, see Figure), making it suitable for highly efficient and ultrafast devices for optical telecommunications.