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Based on the solution of the boundary value problem for an infinite antenna array, a mathematical model of a finite flat antenna array in an infinite screen ... ... impedance structure is built. Results of calculations are given by the example of radiant strips. In the work [1] based on the model of an infinite antenna array, a flat antenna... ... periodical antenna array located at the distance of above an impedance structure (fig. 1), boundary effects caused by finite size of the aperture of the antenna array are analyzed...