The nonlinear optical response of semiconductor single-walled carbon nanotubes excited by
a strong laser field in a two-band approximation, applying a nonperturbative method based
on the numerical solutions of quantum kinetic equations has been studied. The density
matrix equations including the Rabi frequency were derived from the Schrödinger
equation, and then the high harmonic generation spectra were calculated by Fourier
transforming the induced current density for nanotubes. Numerical results are
presented for three different single-walled nanotubes (13, 0), (16, 0) and (19,
0).