  Globally optimal solution describing a phase conjugated field of Raman
scattering on the resonant $B\gets X$ transition of iodine $I_2$ is studied.
Maximum optical coherence is found as a top eigenvalue problem. A reversibility
theorem has been stated. This provides sufficient conditions for a tightly
localized waveform and molecular hologram to exist. A noisy picosecond pulse
has been computed to show how femtosecond polarization is regained at target
time.
