By solving the three-dimensional Schrödinger equation for the sodium and hydrogen atoms we demonstrate that the above-threshold ionization spectra strongly depend on the chirprates of fs laser pulses. 2007 Optical Society of America OCIS codes: (190.4180) Multiphoton processes; (320.7110) Ultrafast nonlinear optics Above-threshold ionization (ATI) is a process in which atoms in intense laser field absorb more than the minimum number of photons required for ionization. Since the fist experimental discovery of ATI by Agostini et al. in 1979 [1], ATI has been one of the important subjects in ultrafast laser-atom interactions, and now it is considered to be well-understood. In most experimental/theoretical studies, however, transform-limited pulses have been assumed. The question we would like to address in this paper is whether and how much ATI spectra would change when chirped laser pulses are used instead. To our knowledge, there are no detailed studies in the literature on ATI with chirped pulses. Naively the use of chirped pulses does not seem to change the ATI spectra compared with transform-limited pulses, provided the same peak intensities and the spectral widths of laser pulses.In this paper, we theoretically show that the ATI spectra strongly depend on the chirp-rates of fs laser pulses. For that sake, we have numerically solved the time-dependent Schrödinger equation for fs pulses with different linear chirp-rates but with the same spectral bandwidth. Before the detailed numerical study, we have first ensured that the vector potential we have employed for the time-dependent calculations produces the identical spectral bandwidth for arbitrary linear chirp-rates. Although the mathematical form of our vector potential clearly shows the property of the same spectral bandwidth for arbitrary linear chirp-rates, we have also numerically checked it by calculating the photoelectron spectra upon single-photon ionization of Na by the 200 nm pulse. After that, we move on to the detailed calculations to investigate the effects of linear chirp-rates. Figure 1 presents representative results for the Na atom. The laser parameters we have chosen are TL =13 fs (FWHM for the field) pulse duration with a Gaussian temporal envelope, central wavelength of 800 nm, and the peak intensity of 10 12 W/cm 2 for the transformlimited pulses. For chirped pulses, we have chosen the pulse duration to be 2 TL (i.e., = ± 3) and 4 TL (i.e., = ± 15) with positive as well as negative linear chirp-rates. It is clear that the ATI spectra strongly depend not only the magnitude but also the sign of the chirp-rates. In order to confirm the numerical convergence, we have repeated calculations with different spherical box sizes and the number of orbital angular momenta for the expansion of timedependent wavefunction, obtaining practically the identical ATI spectra. Thus, these puzzling results presented in Fig. 1 are not numerical artifacts.The dependence on the ATI spectra on the magnitude of | | which represents the chirp-rate can be rather easil...