Focusing now on the spectrum with CAP parameters r 0 = 9.524 bohr and η = 4.0 Ha/bohr 2 , Fig. shows several different versions of this spectrum computed from "windowed" Fourier transforms in which the total time propagation of 5,000 a.u. is divided into five sequential segments and the transform is computed using only the data from within one segment. For the segment corresponding to 0 < t < 1, 000 a.u. (Fig. ), peaks are obtained at the odd harmonic numbers but they are not yet very clear or sharp, and fictitious peaks are obtained starting from the 60th harmonic order and continuing through the 100th order. Significant peaks near the 60th and 93rd harmonic orders clearly correspond to LR-TDHF excited states. Unphysical peaks between the 75th and 80th harmonic orders correspond to ionization channels as inferred from the MO eigenvalues.