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The review of the black screen diffraction problem

Keywords:

V.V. Akhiyarov – Ph. D. (Eng.), Senior Research Scientist, Associate Professor, Department «Radio Electronic Systems and Devices», Kotel\'nikov IRE of RAS (Moscow) E-mail: vakhiyarov@gmail.com


In this article the brief description of the black body model by Kirchhoff, Kottler, Voigt and Macdonald are presented. It is obvious, that different electrodynamics models must give different results for scattering fields. In this article the uniform and non-uniform asymptotics of the diffraction field, obtained with this models are produced. The black screen diffraction problem using parabolic equation technique and Sommerfield model are examined. The parabolic equation solution is the first approaching for the diffraction problem solution (primary shadow radiation). The mathematical description of the Riemann black screen, which was proposed by P.Ya. Ufimtsev, is presented. It is shown, that mathematical description of the black screen diffraction phenomenon is consecutive propagate primary shadow radiation through sheets of the infinitely-sheeted Riemann surface. It is determined, that electrodynamics models by Kirchhoff and Voigt improve parabolic equation solution. The correspondence between infinitely-sheeted Riemann black screen and reflection method, suggested by Maluzhinets, is obtained. If reflection operators are equal to zero, then Voigt theory corresponds to the Sommerfield model. The angular diagrams for the fringe waves for different models of the black screen are produced. All results are polarization-independent.
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