Kravchenko, V. F.Kravchenko, O. V.Safin, A. R.2010-06-082010-06-082009Kravchenko V. F. Synthesis of 2D directional diagrams of antennas with arbitrary aperture based on atomic and R-functions / V. F. Kravchenko, O. V. Kravchenko, A. R. Safin // Теорія та техніка антен : матеріали 7-ої Міжнародної конференції, 9–12 червня 2009 року, Львів, Україна. – Львів : Видавництво Національного університету "Львівська політехніка", 2009. – C. 63–65. – Bibliography: 6 titles.https://ena.lpnu.ua/handle/ntb/4289In this report problems of synthesis 2D directional diagram (DD) of antennas with arbitrary apertures on atomic and R-functions (V.L. Rvachov functions) are considered. A new approach for 2D DD synthesis based on generalized N-th dimensional Kravchenko-Kotel’nikov Theorems is offered. The theory of R-functions allows edge effects are appear in singularity points by synthesis and analysis of 2D antenna arrays with arbitrary forms. In this work was carried out comparison with well-known the following methods: Whittaker-Kotel’nikov-Shannon – series expansion, Fourier – series expansion, Chebyshev – series with series generalized Kravchenko-Kotel’nikov-Levitan.ensynthesis and analisysantennas apperturaatomic and R-functionsdirectional diagramArticle