Abstract
A method is presented to describe multiple resonant non-linear spectra in the presence of strong laser fields. The Liouville equation for the density operator of the molecular system is transformed to a time-independent linear equation system. This can be easily solved rigorously by numerical methods or, after partitioning into a strong-field part and a perturbation, the solution can be obtained analytically by a novel perturbative approach. The results account for power broadening. Rabi splitting of signals, and power-induced extra resonances, the latter being related to the pure dephasing-induced resonances in the weak-field limit. The method can be applied to a large number of multiple resonant non-linear spectroscopies, especially CARS, CSRS, coherent Rayleigh scattering and sum- or difference-frequency generation.
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