Yeliseyev O. Diffraction of Gaussian wave beams on flat screens with rectangular holes and waveguide loads

Object of research is the vector electromagnetic fields scattered by Gaussian wave beams on flat two-dimensional periodic screens of final thickness with rectangular apertures and waveguide loadings. The purpose of dissertational work is development of effective numerical algorithm of calculation of electromagnetic characteristics of the electromagnetic fields scattered by Gaussian wave beams on two-dimensional periodic screens of final thickness with rectangular apertures and waveguide loadings on the basis of known algorithms of decisions of "key" problems of diffraction of flat linearly polarized TE and ТМ - waves on two-dimensional periodic structures. Methods of research: at research of diffraction problems following analytical and numerical methods By means of Fourier return transformation spectral functions incident Gaussian wave beamss are found in an analytical kind. On the basis of known algorithms of decisions of "key" problems of diffraction flat linearly polarized TE and ТМ - waves on two-dimensional periodic structures the algorithm of calculation of spectral functions of the scattered wave beams on two-dimensional periodic structures of various types has been developed. Using a method of a stationary phase for the approached calculation of double integrals, expressions for pattern on a field and on capacity of the reflected (passed) wave beams in a far zone are received. Simpson's numerical method is applied to the approached calculation of capacity of the incidental and reflected wave beams at calculation of double integrals. Scientific novelty: effective algorithms of calculation of electromagnetic characteristics of Gaussian wave beams scattering on two-dimensional periodic structures for which decisions of "key" problems of diffraction flat linearly polarized electromagnetic TE and ТМ -waves are known are constructed and applied. The effect of narrowing of the pattern of the wave beam scattered on the screen of rectangular apertures is established and explained. For the first time the basic power characteristics of electromagnetic fields of the Gaussian wave beams scattered on a two-dimensional periodic reflective array of short-circuited wave guides of rectangular cross section in a autocollimation mode are investigated and effects of transformation of pattern of the beams reflected in not specular direction are established. For the first time modes of not specular reflection of Gaussian wave beams on an array of the short-circuited waveguides of rectangular and square sections are investigated. The opportunity to operate by capacity of not specular beams by change of length of the short-circuited waveguides is shown. Numerical methods receive the decision of a problem of diffraction of a wave beam on the flat two-dimensional periodic two-element ideally spending screen of final thickness with rectangular apertures which base cell contains two waveguides of various sections. Physical conditions are found and opportunities of transformation of polarization of Gaussian wave beams are investigated at dispersion on a reflective two-element array of the short-circuited rectangular waveguides which base cell contains two wave guides with mutually orthogonal wide and narrow walls. Sphere of use: radiophysics and electronics.