Autocollimation of a Gaussian beam reflected by a beveled array of short-circuited rectangular waveguides

Abstract

This paper investigates the dispersion of a three-dimensional Gaussian wave beam on a two-dimensional periodic array of short-circuited waveguides with a beveled (nonrectangular) grid in the autocollimation mode. The correlation of reflection rates in terms of the power and the length of the short-circuited waveguides has been estimated for specular and non-specular beams. The relationship between the directional pattern of the reflected beam in the far field and the array and incident beam parameters has been investigated. Three-dimensional directional patterns have been designed in terms of the power of specular and non-specular beams in the far field. Energy characteristics and three-dimensional directional patterns have been obtained for the non-specular beam in the far field. A new algorithm for analyzing three-dimensional problems of scattering of linearly polarized wave beams on two-dimensional periodic structures is proposed. This algorithm allows the investigation of wave beams with arbitrary field distributions over the cross-section. The case of oblique incidence of a linearly polarized Gaussian wave beam on a two-dimensional periodic structure is considered. A reflective array with short rectangular waveguides is chosen as the structure. The beam pattern transformation of the scattered beam in the far field is investigated. The effects of narrowing of the beam pattern and distortion of the reflected beam pattern are detected. A physical explanation of these effects is offered. The results are presented in the form of two-dimensional and three-dimensional patterns of the scattered field of the beam in the far field.

Nonspecular reflection of Gaussian wave beams on a two-dimensional periodic array with shorted waveguides of rectangular cross-section

“…Unlike echelette-type gratings and corrugated mirrors, a short-circuited waveguide-type diffraction grating may be used to create a controllable element in an electronic device [5][6][7]. Wave beam diffraction on a two-dimensional periodic grating of short-circuited rectangular waveguides with rectangular and non-rectangular grids was studied in [8][9][10]. In [14][15][16] the nonlinear interaction of electromagnetic waves on planar metamaterials supporting trapped-mode resonance problems are considered.…”