We have used two-photon Fourier transform spectroscopy to investigate the
first singlet excited state (S1) of a prototypical polyene molecule 1,5 --
Diphenyl-1,3,5-hexatriene. As the S1 state in the polyenes is a one-photon
forbidden transition, its structure of the vibrational levels cannot be studied
using resonant linear excitation. Although this level is accessible with
two-photon excitation, previous studies done by using wavelength tunable pulsed
lasers did not have enough resolution to investigate the details of the
vibrational levels. In Fourier transform spectroscopy, one uses a pair of laser
beams to excite the sample. The measurements are done by varying the time delay
between the pulses. The spectral resolution is given by the inverse of the
maximum time delay rather than the spectral width of the pulses. We have used
the method to investigate the vibrational levels of the S1 state. In our
implementation, we have used a phase modulation technique to carry out the
measurements in the rotating frame, which require fewer data points along the
time delay thereby significantly reducing the measurement time