Numerical analysis of small parabolic antennas using the method of current and change integral equations




The method of current and charge integral equations [1] is applied to numerical electrodynamic analysis of radiation and impedance matching characteristics of parabolic antennas with reflector diameter from 0.5 to 10λ. As a result as opposed to the current method relying on physical optics approximation the influence of feed on reflector’s radiation pattern, the influence of reflector on feed’s impedance matching and the contribution of feed’s rear radiation into reflector’s radiation pattern are all accounted for. A new model of representing a parabolic surface in the form of its square approximation is suggested, which provides almost uniform partitioning grid and has at least 2.5 times less boundary elements that the common revolution surface representation while having the same sampling coefficient. Dependences of antenna’s directivity on reflector dimensions (0.5–10λ) are calculated for six different focus distance to reflector’s diameter ratios using the developed by the authors crystal_U software package. The calculated results are confirmed by good matching with well-known experimental results.


DUBROVKA, F.F. AND TOLKACHEV, A.V. An effective method of numerical solution of a boundary electrodynamics problem for arbitrary conducting surfaces. Radioelectron. Commun. Syst., v.52, n.11, p.573-590, 2009. doi:10.3103/S0735272709110016.

AISENBERG, G.Z. Ultra-Short Wave Antennas, P. 1. Moscow: Svyaz’, 1977. 384 p. [in Russian].

SAZONOV, D.М. Antennas and Microwave Devices. Moscow: Vyssh. Shkola, 1988. 432 p. [in Russian].

DUBROVKA, F.F. AND TOLKACHEV, A.V. Numerical solution of electrodynamics boundary problem for conducting surface—dielectric body system. Radioelectron. Commun. Syst., v.53, n.11, p.569-583, 2010. doi: 10.3103/S0735272710110014.

DUBROVKA, F.F. AND TOLKACHEV, A.V. Novel wideband circular polarization antenna with quasi-hemispheric radiation pattern and low level of cross-polarization. Radioelectron. Commun. Syst., v.55, n.12, p.544-548, 2012. doi: 10.3103/S0735272712120035.

SILVER, S. Microwave Antenna Theory and Design. New York–Toronto–London: McGraw-Hill, 1949. 624 p.

LEE, K. CAD basics (CAD/CAM/CAE). St. Petersburg: Piter, 2004. 560 p. [in Russian].

FLETCHER, C.A.J. Computational Galerkin Methods. New York–Berlin–Heidelberg–Tokyo: Springer-Verlag, 1984. 352 p.

HUANG Y. AND BOYLE, K. Antennas from Theory to Practice. John Wiley & Sons Inc., 2008. 364 p.

STUTZMAN W.L. AND THIELE, G.A. Antenna Theory and Design. Jon Wiley & Sons Inc., 1981. 598 p.

WOOD, P.J. Reflector Antenna Analysis and Design. P. Peregrinus on behalf of the Institution of Electrical Engineers, 1980. 208 p.

BIRD, T.S. AND JAMES, G.L. Design and practice of reflector antennas and feed systems in the 1990s. Review of Radio Science 1996–1999. Oxford university press, 1999, p.81–117.

ZHUK, М.S. AND MOLOCHKOV, YU.B. Design of Antenna-Feeder Devices. Moscow–Leningrad: Energiya, 1966. 648 p. [in Russian].

KUHN, R. Mikrowellenantennen. Berlin: Veb Verlag Technik, 1964. 517 p. [in German].





Research Articles