A quantitative study of coherent vibrational dynamics probed by heterodyned transient grating spectroscopy

Coherent vibrational spectroscopy in the time domain is well-established and complimentary to Raman techniques in the frequency domain. Pump probe spectroscopy as the most widespread time-resolved technique in the femtosecond regime was successfully applied to a wide range of vibrational studies, but proves challenging for highly scattering samples or for low absorption cross sections. Here we discuss heterodyned transient grating spectroscopy as a technique with superior signal to noise compared to pump-probe, while delivering identical signals. We analyze vibrational wavepacket dynamics using theory based on the response function formalism. We thus explain the distribution of vibrational amplitude along detection frequencies, relating local minima to the position of the zero phonon line and the presence of neighboring modes. Our description gives a fully coherent picture of vibrational phases and amplitudes near the zero phonon line as well as around higher lying vibronic transitions.