Ultrafast laser pulses with complex envelopes (amplitude and frequency modulated) are used to excite an optically dense column of rubidium vapor. Pulse reshaping, stimulated emission dynamics, and residual electronic excitation in the Rb vapor are all shown to depend strongly on the laser pulse shape. Pulses that produce adiabatic passage in the optically thin limit exhibit more complex behavior in optically thick samples, including an unexpected dependence on the sign of the frequency sweep. Numerical solutions of the Maxwell-Bloch equations are shown to account for our results.[S0031-9007(99)09123-1] PACS numbers: 42.62.Fi, 32.70.Jz, 42.65.Re In recent years, it has become apparent that optical pulse shaping alters excitation dynamics in atomic and molecular systems [1,2]. Some similar effects have been known for decades both in nuclear magnetic resonance and in magnetic resonance imaging, where the technology to tailor radiofrequency pulses has been used routinely for several decades [3]. For the case of laser-matter interactions, however, the combination of optical density and wave packet dynamics also leads to completely new physical phenomena, which are just beginning to be explored as the technology for optical pulse shaping matures [4].Here, we use pulse shaping technology to make complex phase-and amplitude-modulated picosecond laser pulses with sufficient intensity to leave the linear-response regimes, and we apply such pulses to optically dense samples of Rb vapor. In the absence of optical density effects, the pulse shapes we apply [field envelope proportional to sech͑at͒ ͑11mi͒ , or equivalently a sech pulse envelope with a tanh frequency sweep] are predicted to give complete, bandwidth limited inversion [5]. For an optically dense sample, however, we report different dynamics that depend upon the input pulse shape. These results may be of practical importance in preparing spinpolarized noble gases, the only reagents commercially prepared today using laser systems [6].The coupled Maxwell-Bloch (MB) equations describe both the evolution of a material system and the reshaping of the laser pulses as they propagate through an optically dense medium [7]. This system of equations combines Maxwell's wave equation with Bloch's quantum-mechanical description of the field-matter interaction and are writtenHere, E͑ z , t͒ is the electric field, which is a function of three spatial coordinates, represented by the vector z , and of time, g͑D͒ is the inhomogeneous line shape at resonance offset D, p͑ z , t, D 0 ͒ is the polarization, T 2 and T 1 are the coherence and population lifetimes, respectively, and w͑ z , t, D 0 ͒ is the population difference. We used recursive algorithms developed in [8,9] to solve the MB equations numerically.The hyperbolic secant pulse with a hyperbolic tangent frequency sweep (sech) mentioned above is an analytical solution to the Bloch equations [5] and has received a great deal of attention [5,7,8] due to its success at inducing complete bandwidth limited inversions in material sy...