Geometrical modeling of a metallic mesh deformation of the parabolic reflector
Tóm tắt
A geometrical model of the well-known “mattress” effect, which is similar to the one observed at the opening of an umbrella, is built. The main hypothesis is that the surface of metallic mesh of a parabolic reflector takes a form closed to the minimal surface in the isotropic case. The fact that, for the orthotropic metallic mesh, the sum of the principal curvatures is farther from zero than in the isotropic case is taken into account. The model’s reliability domain is thoroughly studied. The mathematical apparatus of the model is the classical differential geometry.
Tài liệu tham khảo
M. V. Gryanik and V. I. Loman, Deployable Reflector Umbrella-Type Antenna (Radio Svyaz’, Moscow, 1987) [in Russian].
A. V. Azyukin, “Specificity of the directional pattern and directivity factor of mirror umbrella antennas,” in Analysis and Synthesis of Antenna Systems, Ed. by G. G. Bubnov (Moscow, 1984), pp. 82–88 [in Russian].
A. V. Azyukin and V. I. Klassen, “Directional properties of folding reflector antennas,” Radiotekh. Elektron. 27, 1519–1526 (1982).
P. K. Rashevskii, Course of Differential Geometry (GITTL, Moscow, Leningrad, 1950) [in Russian].
J. Favard, Course of Local Differential Geometry (Gauthier-Villars, Paris, 1957; GITTL, Moscow, 1960).