Abstract
A theoretical treatment is presented for the problem in which the system is pumped by a femtosecond pulse and probed by time-resolved resonance Raman scattering (TRRRS) with a femtosecond probe pulse. Because of the short time duration of the laser pump pulse, it is assumed that the molecular system is initially excited into some coherent combination of states. The system can then evolve for some period of time determined by the time delay of the probe pulse. The adiabatic approximation has been introduced to derive the theoretical expressions for the TRRRS cross-section and the generating function method is applied to develop analytic expressions for the single mode case in the displaced oscillator model. Numerical calculations demonstrate the effects of the probe pulse duration on the incoherent and coherent contributions of the TRRRS cross-section.
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