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Via a non-perturbative method we study the population dynamics andphotoelectron spectra of Cs atoms subject to intense chirped laser pulses, withgaussian beams. We include above threshold ionization spectral peaks. Thefrequency of the laser is near resonance with the 6s-7p transition. Dominantcouplings are included exactly, weaker ones accounted for perturbatively. Wecalculate the relevant transition matrix elements, including spin-orbitcoupling. The pulse is taken to be a hyperbolic secant in time and the chirpinga hyperbolic tangent. This choice allows the equations of motions for theprobability amplitudes to be solved analytically as a series expansion in thevariable u=(tanh(pi t/tau)+1)/2, where tau is a measure of the pulse length. Wefind that the chirping changes the ionization dynamics and the photoelectronspectra noticeably, especially for longer pulses of the order of 10^4 a.u. Thepeaks shift and change in height, and interference effects between the 7plevels are enhanced or diminished according to the amount of chirping and itssign. The integrated ionization probability is not strongly affected.Comment: Accepted by J. Phys. B; 18 pages, 17 figures. Latex, uses  ioplppt.sty, iopl10.sty and psfig.st

Ionization dynamics in intense pulsed laser radiation. Effects of frequency chirping