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In this article, we analytically study second harmonic (SH) generation fromthin metallic films with subwavelength, non-centrosymmetry patterns. Becausethe thickness of the film is much smaller than the SH wavelength, retardationeffects are negligible. The far-field SH intensities are thus dominated by aneffective electric dipole. These analytical observations are further justifiednumerically by studying the effect of polarization of the fundamental field onboth the SH signal and the electric dipole. It is demonstrated that bulk SHpolarization density is comparable with its surface counterpart. The electricdipole, consequently, originates from the entire {volume of the metallicmembrane, in contrast to the fact that SH generation from metal surface isgenerally dominated by a surface dipole.

Volume electric dipole origin of second-harmonic generation from metallic membrane with non-centrosymmetry patterns