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Space Fourier components of the intensity distribution in the images of remote objects, obtained in the process of Fourier-telescopy imaging in strongly inhomogeneous atmosphere, have large amplitude and phase distortions, which lead to strong distortions of these images. Applying the well-known phase closure algorithm can eliminate phase distortions. In order to compensate amplitude distortions, it was proposed to divide the space Fourier components by the modules of direction diagrams of the laser beams illuminating the object under study. However, if these beams propagate in strongly inhomogeneous atmosphere, their wave fronts become considerably disturbed. This leads to strong fluctuations in the direction diagrams of the laser beams and can result in very small values of their modules. Then, in the case of high additive noise, the probability of detecting the object can become very low. To increase this probability, it is proposed to use a matrix of laser sources in each laser transmitter. As a result, laser transmitters will form beams with weakly fluctuating direction diagrams, which will ensure a high probability of the object detection. A compact symmetric device for Fourier-telescopy imaging using a matrix of laser sources in each laser transmitter is presented. It is based on a receiving-transmitting aperture that contains a number of similar receiving sections and a transmitting aperture consisting of two orthogonal linear arrays of laser transmitters. The transmitting aperture is placed in the intervals between the receiving sections. Parameters of the proposed design (resolution and contrast in the speckle pattern of a Fourier-telescopic image and the total dimensions and configurations of the transmitting and receiving apertures) are compared to those typical for the existing design the Geo light imaging national testbed (GLINT). The proposed design ensures formation of a high-quality undistorted image of an object at a large distance (up to 40 000 km) with high resolution (about 0.4 m) along mutually perpendicular directions in the image plane.
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