Prospect of application of gradient cellular structures with controlled permittivity for 3D-printing of the Luneburg lens
M. F. Akhmatnabiev 1,2, M. V. Timoshenko2, M. M. Sychov1,2, A. A. Petrov3, S. V. Diachenko1,2
1Branch of the Petersburg Institute of Nuclear Physics named after B.P. Konstantinov of the National Research Center "Kurchatov Institute" --- Institute of Silicate Chemistry named after I.V. Grebenshchikov, Saint Petersburg, Russia
2Saint-Petersburg State Institute of Technology (Technical University), St. Petersburg, Russia
3Research Institute "Vector", St. Petersburg, Russia
Email: svdiachenko@technolog.edu.ru
The study included designing of a material for 3D-printing of the Luneburg lens and investigating electrical and mechanical properties of the cellular materials and controllability of their permittivity for use in manufacturing the lens. It is shown that by means of structures based on minimum-energy triply-periodic surfaces, it is possible to obtain the required values of permittivity by varying a degree of filling of space with matter. Geometries of the minimum-energy triply-periodic surfaces are selected, a formula of the dependence of permittivity on the degree of filling of the structure space is obtained, thereby making it possible to create intermediate layers of the Luneburg lens with a pre-defined value of permittivity. Keywords: Luneberg lens, spherical lens, antenna lens, permittivity, additive technologies, 3D-printing, cellular materials, gradient materials, minimum-energy triply-periodic surfaces.
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