Second harmonic and sum frequency generation from nanostructured semiconductor film

We have studied analytically the second harmonic generation (SHG) and sum frequency generation (SFG) of the two surface plasmon (SP) resonance modes from sub-wavelength structured semiconductor film. The extraordinary Optical transmission of the fundamental light results from an enhancement of the local field. The strong local field induces an expected increase of second harmonic and sum frequency signals for the SP resonance modes. The increases of SHG and SFG are attributed to the structure-factor-induced surface SP resonance and the localized cavity SP resonance, respectively. The field distributions of fundamental light and their nonlinear signals are different for different SP resonant modes. The second-harmonic signal for the structure-factor-induced SP resonant mode seems the radiation of an electric monopole, and the sum frequency signal seems the radiation of an electric quadrupole. The method are useful for research of the nonlinear optical processes in graphene and black phosphorus SP.

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