Abstract
The diffraction problem of a three-dimensional elliptic p- polarized Gaussian beam on an aperture array of rectangular holes is solved. The new algorithm for the solution of three-dimensional scattering problems of linearly polarized wave beams on two-dimensional periodic structures is offered. The given algorithm allows exploring of wave beams with any allocation of a field on cross section. The case of oblique incidence of linearly polarized elliptic Gaussian wave beam on two-dimensional periodic structure is viewed. As structure the rectangular waveguides phased antenna array is chosen. The elliptic shape of a beam cross section gives the chance to proportion energy of an incident field in a plane of an antenna array in the chosen direction. The frequency dependence of the reflection coefficient intensity for the Gaussian beam is calculated. For the analysis of patterns of the reflected and transmitted beams in a far zone the frequencies on which the strongest interaction between next waveguides channels is observed have been chosen. Dynamics of patterns transformation of the reflected and transmitted beams depending on the form of cross-section and a polarization direction of an incident beam on different frequencies is investigated. It is determined that shape of the pattern of reflected and transmitted beams (symmetry, asymmetry, bifurcation, amplitude, width) depends on chosen spatial orientation of the ellipse axes of the cross section in the incident beam. Frequency ranges, in which the form of the reflected and transmitted beams is not Gaussian, are defined. The nature of transformation of the patterns of scattered beams was examined. Narrowing effect of the pattern of transmitted beam and deformation of the pattern of reflected beam is detected. A physical explanation of these effects is given. The results are presented in the form of two- and three-dimensional patterns of the scattered field of beams in the far field.
Highlights
Of great interest is the investigation of electrodynamic characteristics of the reflected and transmitted elliptic beams in case of oblique incidence on semi-transparent two-dimensional periodic structures
Computational algorithm has been developed to obtain the electrodynamic characteristics of scattering of tree-dimensional Gaussian beams from doubleperiodic structures
For a plane wave and a wave beam, both obliquely incident on a plane finite-thick double-periodic screen perforated by rectangular holes, the frequency dependence of the power reflection coefficients were compared
Summary
Of great interest is the investigation of electrodynamic characteristics of the reflected and transmitted elliptic beams in case of oblique incidence on semi-transparent two-dimensional periodic structures. The form of the pattern, amplitude and phase distribution of the transmitted and reflected elliptic beam fields may differ significantly from the corresponding characteristics of the fields in case of circular cross section beam scattering. In [15] the results of studies of electrodynamic characteristics of the Gaussian circular cross section wave beam scattering in case of normal incidence on a two-dimensional periodic structure and the calculation algorithm are presented. The displacement and transformation of patterns shape in the scattering of beams on two-dimensional periodic structures are significantly different for p- and s-polarizations. It is connected with the different behavior of the scattering coefficients frequency responses for each of the plane-wave component beams of these polarizations. The need for a comparative analysis of the scattering characteristics of p-and s-polarized beams is related primarily to the fact that the beams with arbitrary polarization are formed from the p-and s-polarized components and their different transformation upon reflection should lead to additional effects that may not have a separate place for each polarization component of the beam
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