Laser induced fluorescence Doppler profiles of photofragments in the presence of v-J correlation: A density matrix formalism

1+1 LIF Doppler profile functions of photofragments in the presence of v-J correlation are derived in a formalism of density matrix. Radon transforms which are imposed by the resonance condition of Doppler spectroscopy have b een implemented exactly. Independent parameters which characterize the angu lar momentum polarizations of photofragments in a specific state on an expa nding Newton sphere have been examined carefully to compare the present tre atment with the bipolar moment formalism of Dixon [R. N. Dixon, J. Chem. Ph ys. 85, 1866 (1986)]. To extract information on speed distributions of phot ofragments from a combined, isotropic Doppler profile, the proper procedure to take the linear combination of experimental profiles from various detec tion geometries and rotational branches of transitions has been presented. For future analyses of Doppler spectroscopic measurements of photofragmenta tion processes, it is recommended that the Doppler profile function in the present framework should be utilized. (C) 1999 American Institute of Physic s. [S0021-9606(99)01915-7].