This research project has examined various aspects of the phase in nonlinear optics. For example, in optical second harmonic generation (an important technique for probing surfaces) the harmonic signal has a certain phase difference with respect to the input laser beam. Knowledge of this phase allows a more complete understanding and interpretation of the second harmonic (SH) data, enabling correct addition/subtraction of nonlinear susceptibilities when several species contribute to the total SH signal, and also for interpreting orientations of molecules. The measured phase of the second harmonic generation (SHG) signal relative to the input may contain contributions both from the inherent phase of the nonlinear susceptibility (deriving fro...