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In this paper the phased array of enclosed coaxial waveguides has been theoretically considered as antenna for ground-penetrating radar. The reflected and transmitted signals were obtained using the inverse Fourier transform. The reflection and transmission coefficients for the elements of array with monochromatic excitation can be founded using the variational principle in single-mode approximation. Some numerical results for array of two enclosed coaxial waveguides with a pulse excitation are presented.

waveguide antenna array; coaxial waveguide; variational principle