Fourier telescopy (FT) is a high-resolution optical interference imaging method which is mainly used for distant and very dim objects. Being illuminated by several spatial diversed and frequency-encoded laser beams, object will reflect the light as a temporal series signal which contains the information of the target′s spatial spectrum. After the signal is demodulated, the target′s spectrum will be recovered with the help of the phase-closure algorithm by which the random atmospheric phase errors will be cancelled out, and then, the image can be reconstructed by inverse Fourier transform. An experimental scheme based on diverging light has been put forward to verify the feasibility of this imaging technology, and both of one- and two-dimensional objects have been reconstructed successfully in laboratory. Besides, several useful references for building field′s FT system can be offered by this scheme. Firstly, it simulates the T-shape configuration properly, which is helpful to study the field transmitter array while the field′s requirement is not mature. Secondly, the scheme is based on diverging light to illuminate the target, It not only approaches the practical situation, but also makes the laser faculae overlap together on target′s surface all the time which is good at improving the signal-to-noise ratio of the reflected signal because the energy of the light is used at utmost. And it will be beneficial to aim the target and to avoid the atmospheric turbulence in system design.