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absorption amplitude applied approximation assume atomic beam beat becomes BLOEMBERGEN bond broadening calculate coherent collisions components consider constant contribution corresponding crystals decay density dependence described direction discussed distribution Doppler dye laser echo effect electron elements energy equations example excitation expected experimental experiments expression factor field frequency function give given induced integral intensity interaction interest intermediate laser Lett light limit line width linear material matrix measurements medium molecular molecules nonlinear nonlinear optical observed obtained occurs optical oscillating phase photon Phys Physics polarization population possible preparation present probe problem pulse pump quantum radiation Raman scattering recently resonance sample saturation shift shows signal simple solution spectra spectroscopy spectrum splitting Stark stimulated technique theory transient transition two-photon vector velocity wave