Globally optimal solution describing a phase conjugated field of Raman scattering on the resonant B <-- 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.