Boris V. Semenov     (Krasovskii Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences; Ural Federal University, Ekaterinburg, Russian Federation)
Nikolai I. Chernykh     (Krasovskii Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences; Ural Federal University, Ekaterinburg, Russian Federation)
Viktor M. Pleshchev     (Krasovskii Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russian Federation)


In this paper a simple iterative synthesis method is presented for the formation of the shape of the reflector surface with a single feed element to produce the desired contour beam. This is the method of the optimal phase synthesis of the appropriate field in the reflector aperture similar to other works. But unlike them, we solve the problem in a very simple way using the properties of complex-valued functions and Fourier transforms and not applying complicated methods of numerical minimization theory.


Antenna, Shaped reflector, Radiation pattern, Contour beam, Synthesis

Full Text:



Shishlov A.V., Shitikov A.M. On the application of two-dimensional Kotelnikov’s interpolation series to the synthesis of antennas with contour directional patterns // Radiophysical Signal Processing Methods. Proceedings of the Moscow Institute of Physics and Technology, 1996. P. 112–128. [in Russian]

Reutov A.S., Shishlov A.V. Peculiarities of step-by-step synthesis of reflectors of mirror antennas with contour directional diagrams, using a stipe representation of the mirror surface // Electromagnetic Waves and Electronic Systems, 2003. Vol. 2. P. 4–14. [in Russian]

Uzolin E.Yu., Kryukov I.G. Synthesis of surface profile of reflectors of single-mirror contour antennas using Zernike polynomials // Proceedings of Tomsk State University of Control Systems and Radioelectronics, 2012. Vol.2, no.2. P. 92–95. [in Russian]

Vipiana F., Pirinoli P., Vecchi G. Wavelet-mom analysis of 3d antennas with triangular mesh // Antennas and Propagation Society International Symposium, IEEE, 2004. P. 1471–1474. DOI: 10.1109/APS.2004.1330466

Woodward P.M., Lawson J.D. The theoretical precision with an arbitrary radiation-pattern may be obtained from a source of finite size // J. Institution of Electrical Engineers - Part III: Radio and Communication Engineering, IET, 1948. Vol. 95, no. 37. P. 363–370. DOI: 10.1049/ji-3-2.1948.0094

Jorgensen R. Coverage shaping of contoured-beam antennas by aperture field synthesis // IEE Proceedings H - Microwaves, Optics and Antennas, IET, 1980. Vol. 127, no. 4. P. 201–208 DOI: 10.1049/ip-h-1:19800045

Alan R.C., Roberto J.A. A method for producing a shaped contour radiation pattern using a single shaped reflector and a single feed // IEEE Transactions on Antennas and Propagation, 1989. Vol. 37, no. 6. P. 698–706. DOI: 10.1109/8.29356

Sazonov D.M., Frolov N.J. A universal method for synthesis of shaped contour beam reflector antennas with a single-element or multiple-element feeds // Proc. of the 28 Moscow Int. Conf. of Antenna theory and Technology. 1998. P. 399–402.

Shishlov A.V. Mirror antennas with contour directional diagrams-efficiency and limiting capabilities // Radio Engineering, 2006. Vol. 4. P. 45–50. [in Russian]

Bucci, DElia G., Romito G. Synthesis technique for scanning and/or reconfigurable beam reflector antennas with phase-only control // IEE. Proc.-Microw., Antennas Propag., IET, 1996. Vol. 143, no. 5 P. 402–412. DOI: 10.1049/ip-map:19960262

Choni Yu.I. Synthesis of antennas based on a given amplitude directional pattern // Radio engineering and electronics. 1971. Vol. 15, no. 5. P. 726–734. [in Russian]

Arestov V.V., Balaganskii V.S., Gusevskii V.I., Semenov B.V., Sobolev B.S., Chernyh N.I., Sharin N.P. The problem of phase synthesis DN GZA // Collection of scientific works ”Radio century: Perspective ways of development of antenna systems of space communication, theory of control and pattern recognition”. Ekaterinburg: UrB RAS, 1996. P. 29–55. [in Russian]

Sobolev B.S. Vector mathematical model of reflector antennas. // Sbornik “Raketno-kosmicheskya tehnika”. Ekaterinburg: NPO avtomatiki, 2014. P. 140–151. [in Russian]

Sazanov A.A. Approximative properties of generalized interpolating splines in a metric linear space // Proceeding of the Steklov Institute of Mathematics, 2002. Suppl. 2. P. 155–161.

Semenov B.V. Effective iterative methods for contoured beams reflector antenna synthesis // European Microwave Week 2009, Conf. Proc. (EuMA 2009). P. 1500–1503. DOI: 10.23919/EUMC.2009.5296389


Article Metrics

Metrics Loading ...


  • There are currently no refbacks.