In this paper, a general formalism for treating both steady-state and
time-resolved second-harmonic generation for molecular systems is pres
ented. Here, only the steady-state case will be reported. The adiabati
c approximation is introduced. Four important cases, resonance-resonan
ce, resonance-off-resonance, off-resonance-resonance, and off-resonanc
e-off-resonance transitions, have been considered. Finally, numerical
calculations of rhodamine 6G are performed to demonstrate the applicat
ions of theoretical results.