Sum-frequency generation (SFG) is investigated using the two-coupled-oscillator molecular model. The influence of the polarization states and angles of two incident beams on reflected and transmitted sum-frequency lights is discussed by considering the circular birefringence in a chiral medium. The different response of media with two kinds of enantiomers to polarization states of incident beams is also discussed. Furthermore, the relations between the SFG spectrum and the polarization states are studied. The theoretical result is consistent with a known experimental fact.
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