  We demonstrate Fourier single-pixel imaging in the terahertz regime. The
experimental system is implemented with a photo-induced coded aperture setup,
where a monolayer graphene on a high-resistance silicon substrate illuminated
by a coded laser beam works as a terahertz modulator. Results show that
high-quality terahertz images can be reconstructed using greatly reduced number
of measurements. We further find that deep photo-induced terahertz modulation
by adding a monolayer graphene on the silicon substrate and by using high laser
power can significantly improve the image quality. Compared to Hadamard
single-pixel imaging with re-ordered Hadamard matrix, the Fourier approach has
higher image quality. We expect that this work will speed up the efficiency of
single-pixel terahertz imaging and advance terahertz imaging applications.
