The diffraction problem of a three-dimensional elliptic Gaussian beam on a aperture array of rectangular holes is solved. The both normal and oblique incidences of the beam are considered and the results are presented in the form of the three-dimensional patterns. The pattern lobe distortion and conditions at which the side lobes appear are studied. The conditions under which the shift of the reflected and transmitted field patterns appears are studied. The existence of higher spatial Floquet harmonics in the case of oblique beam incidence is observed.
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