Phase optimization problems in antenna synthesis theory

Authors

  • B. Z. Katsenelenbaum Institute of Radioengineering and Electronics of Academy of Sciences of USSR, Ukraine
  • N. N. Voitovich Institute of Radioengineering and Electronics of Academy of Sciences of USSR; Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine
  • V. V. Semenov Institute of Radioengineering and Electronics of Academy of Sciences of USSR, Ukraine
  • Roald B. Vaganov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Russian Federation
  • P. O. Savenko Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine
  • Mykhaylo I. Andriychuk Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine https://orcid.org/0000-0001-9380-8807
  • Yu. N. Kazantsev Institute of Radioengineering and Electronics of Academy of Sciences of USSR,
  • Yu. P. Tkachuk Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine
  • A. N. Sivov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Russian Federation
  • Aleksandr D. Shatrov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Russian Federation
  • Evgenija N. Korshunova Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Russian Federation
  • O. F. Zamorska Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine
  • S. A. Yaroshko Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine
  • V. J. Anokhin Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine
  • O. M. Gis Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine
  • Yu. P. Topolyuk Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine
  • O. O. Bulatsyk Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine
  • M. D. Tkach Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine

DOI:

https://doi.org/10.1109/ICATT.2013.6650678

Keywords:

phase optimization problems, antenna synthesis, amplitude pattern, field transformer, wave beam transformer, resonant antenna, leaky-wave antenna, nonlinear integral equation, analytical solutions

Abstract

A short overview of the results obtained by the authors and their colleagues for a long time in the field of the antenna synthesis theory and the related problems of the field transformation is presented. The main common subject in all problems are the free phase functions ascribed to the given amplitude patterns of the antennas, or appearing as the phase corrections in the quasi-optical field transformers. The systems of specific types such as wave beam transformers and antennas with semitransparent surfaces, in particular, resonant and leaky-wave antennas are described. It is shown that some nonlinear integral equations arisen in the antenna synthesis problems with free phase (and their generalizations) have analytical solutions.

References

CHONI, Y.I. On antenna system synthesis according to given amplitude radiation pattern. Izv. Vyzov. Radioelektronika, 1968, v.11, n.12, p.1325-1327.

CHECHKIN, A.V. A method of amplitude pattern forming. Vychislitelnye Metody I Programmirovanie. Moscow: MGU, 1973, n.20, p.270-279.

BAKHRAKH, L.D.; KREMENECKY, S.D. Synthesis of Radiating Systems: Theory and Calculation Method. Moscow: Sovetskoe Radio, 1974 [In Russian].

DMITRIEV, V.I.; BEREZINA, N.I. Numerical Methods of Solving the Problems of Radiating System Synthesis. Moscow: MGU, 1986.

VOITOVICH, N.N.; KATSENELENBAUM, B.Z.; KORSHUNOVA, E.N.; PANGONIS, L.I.; PEREYASLAVETS, M.L.; SIVOV, A.N.; SHATROV, A.D. Electrodynamics of Antennas with Semitransparent Surfaces. Moscow: Nauka, Fizmatlit, 1989 [in Russian, ed. by B. Z. Katsenelenbaum and A. N. Sivov].

ANDRIYCHUK, M.I.; VOITOVICH, N.N.; SAVENKO, P.A.; TKACHUK, V.P. Synthesis of Antennas according to Amplitude Directivity Pattern. Kiev: Naukova Dumka, 1993 [in Russian].

SAVENKO, P.O. Nonlinear Problems of Radiating System Synthesis. Lviv: IAPMM, 2002 [in Ukrainian].

KATSENELENBAUM, B.Z. Electromagnetic Fields-Restrictions and Approximations. Weinheim: WILEY-VCH, 2003, doi: http://dx.doi.org/10.1002/9783527602568.

BULATSYK, O.O.; KATSENELENBAUM, B.Z.; TOPOLYUK, Y.P.; VOITOVICH, N.N. Phase Optimization Problems: Applications in Wave Field Theory. Weinheim: WILEY-VCH, 2010, doi: http://dx.doi.org/10.1002/9783527629824.

VOITOVICH, N.N.; DOGADKIN, A.B.; KATSENELENBAUM, B.Z. Lens-waveguide line. Radio Eng. Electron. Phys., 1994, v.9, n.9, p.1412-1413.

KATSENELENBAUM, B.Z.; SEMENOV, V.V. Synthesis of phase correctors shaping a specific field. Radio Eng. Electron. Phys., 1967, v.12, n.2, p.639-641.

TETELBAUM, S.I. Optimal shape of antenna for wireless transfer of power. Sb. Nauch.-Techn. St. In-ta Elektrotechniki AN USSR, 1948, p.120-126 [in Russian].

UNGKU FARID, U.F.; ROCK, B.Y.; VERNON, R.J. A new design of a perturbed-wall TE02 launcher for a 60 GHz gyrotron. Proc. of 36th Int. Conf. on Infrared, Millimeter and Terahertz Waves, IRMMW-THz, 2011, Houston, USA. 2011, p.1-2.

VOITOVICH, N.N.; SEMENOV, V.V. Quasioptical lines as feeders. Radio Eng. Electron. Phys., 1970, v.15, n.4, p.697-704.

BOGDASHOV, A.A.; DENISOV, G.G. Synthesis of the sequence of phase correctors forming the desired field. Radiophys. Quant. Electr., 2004, v.47, n.12, p.966-973, doi: http://dx.doi.org/10.1007/s11141-005-0038-1.

SEMENOV, V.V. Two problems in antenna synthesis theory. Radio Eng. Electron. Phys., 1972, v.17, n.1, p.18-24.

VOITOVICH, N.N. Antenna design for given pattern of amplitude of radiation (Semenov's method). Radio Eng. Electron. Phys., 1972, v.17, n.12, p.2000-2005.

VOITOVICH, N.N.; SAVENKO, P.A. Branching of solutions of the antenna synthesis problem based on a specified amplitude radiation pattern. Radio Eng. Electron. Phys., 1975, v.20, n.1, p.1-8.

SAVENKO, P.A. Synthesis of linear antenna arrays with the prescribed amplitude pattern. Radiophys. Quant. Electr., 1979, v.22, n.12, p.1045-1049, doi: http://dx.doi.org/10.1007/BF01033221.

ANDRIYCHUK, M.I.; VOITOVICH, N.N. Synthesis of a closed planar antenna with given amplitude pattern. Radio Eng. Electron. Phys., 1985, v.30, n.5, p.35-40.

VOITOVICH, N.N.; KAZANTSEV, Y.N.; TKACHUK, V.P. Formation of a predetermined radiation pattern with the help of a quasi-optical line. Radio Eng. Electron. Phys., 1984, v.29, n.6, p.13-18.

VASIL'KIV, Y.V.; KOVAL'CHUK, A.M.; SAVENKO, P.A. Synthesis of nulls in the beam pattern of a linear array. Radiophys. Quant. Electr., 1984, v.27, n.1, p.73-78, doi: http://dx.doi.org/10.1007/BF02120947.

SAVENKO, P.O.; ANOKHIN, V.J. Synthesis of amplitude-phase distribution and shape of a plane antenna aperture for a given power pattern. IEEE Trans. Antennas Propag., Apr. 1997, v.45, n.4, p.744-747, doi: http://dx.doi.org/10.1109/8.564102.

SAVENKO, P.O. On structure of solution to problem of synthesis of linear antenna from a given radiation pattern. Radiophysics Radioastronomy, 2000, v.5, n.4, p.405-415.

ANDRIYCHUK, M.I.; VOITOVICH, N.N. Antenna synthesis according to power radiation pattern with condition of norm equality. Proc. of 28 Int. Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED, 23-26 Sept. 2013, Lviv, Ukraine. IEEE, 2013, p.137-140, http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6653851.

AGRANOVICH, M.S.; KATSENELENBAUM, B.Z.; SIVOV, A.N.; VOITOVICH, N.N. Generalized Method of Eigenoscillations in Diffraction Theory. Weinheim: WILEY-VCH, 1999.

VOITOVICH, N.N.; TOPOLYUK, Y.P. Synthesis of axi-symmetrical resonator with spherical outside surface starting from a given amplitude directivity pattern. J. Comm. Tech. Electron., 1989, v.34, n.15, p.25-30.

ANDRIYCHUK, M.I.; TOPOLYUK, Y.P. Synthesis of conformal resonator antennas in term of a given amplitude directivity pattern. J. Comm. Tech. Electron., 1990, v.35, n.14, p.25-30.

VOITOVICH, N.N. Synthesis of closed plane antenna with limitations at field in near zone. Radio Eng. Electron. Phys., 1985, v.30, n.6, p.11-15.

VOITOVICH, N.N.; ZAMORSKA, O.F.; GERMANYUK, R.I. Optimization of plane antennas with semitransparent aperture. Electromagnetics, 1998, v.18, n.5, p.481-494, doi: http://dx.doi.org/10.1080/02726349808908605.

KATSENELENBAUM, B.; MARCADER DEL RIO, D.; PEREYASLAVETS, M.; SOROLLA AUZA, M.; THUMM, M. Theory of Uniform Waveguides. London: IEEE Series, 1998.

VOITOVICH, N.N.; TOPOLYUK, Y.P.; RESHNIAK, O.O. Approximation of compactly supported functions with free phase by functions with bounded spectrum. Fields Institute Communications, AMS, 2000, v.25, p.531-541.

BULATSYK, O. Extension of the class of nonlinear integral equations which permit to present solutions by the complex polynomials. Modern Problems of Mechanics and Mathematics, 2013, n.3, p.16-18.

ICATT 2013 cover

Published

2014-02-19

Issue

2013: ICATT’2013 - Proc. of IX Int. Conf. on Antenna Theory and Techniques

Section

Invited papers