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Abstract
Recently the second-order sumdashfrequency generation (SFG) has become a powerful surface — spectroscopic technique. In this paper we present a molecular theory for SFG. To systematically treat this process, we have classified SFG into the resonance-resonance case, resonance-off-resonance case, off-resonance-resonance case and off-resonance-off-resonance case. Among these cases we may have IR-UV SFG and UV-UV SFG. Some of these SFG's are reported in this paper. In each SFG case, we have shown how to calculate the strength (or intensity) and band-shape function.
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