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The structure of solutions to the problem of synthesis of a linear microstrip antenna array with the use of energy criterion

P. A. Savenko, M. D. Tkach


The paper considers the structure of solutions to the problem of synthesis of a linear microstrip antenna array corresponding to a prescribed radiation pattern in terms of power. It is shown, based on the methods of nonlinear analysis, that typical features of this class of problems are nonuniqueness and bifurcation of solutions. The number and qualitative characteristics of the solutions depending on the regularization parameter are investigated.

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BAKHRAKH, L.D.; KREMENETSKII, S.D.Synthesis of Radiating Systems (Theory and Methods of Design) [in Russian]. Moscow: Sov. Radio, 1974.

ANDRIICHUK, M.I.; VOITOVITCH, N.N.; SAVENKO, P.A.; TKACHUK, V.P. Synthesis of Antennas by Amplitude Radiation Patterns (Numerical Methods and Algorithms) [in Russian]. Kiev: Naukova Dumka, 1993.

SAVENKO, P.A. "Solution branching of the antenna synthesis problems by a given amplitude directional pattern in using regularizing functionals," Izv. VUZ. Radioelektronika, v.39, n.2, p.35-50, 1996.

SAVENKO, P.A.; TKACH, M.D. Radiotekhnika i Elektronika, v.46, n.1, p.58-65, 2001.

SAVENKO, P.A.; TKACH, M.D. "Synthesis of plane microstrip antenna arrays by a given power directional pattern," Izv. VUZ. Radioelektronika, v.44, n.6, p.19-32, 2001.

POZAR, D.M. "Input impedance and mutual coupling of rectangular microstrip antennas," IEEE Trans. Antennas Propag., v.30, n.6, p.1191-1196, 1982. DOI:

POZAR, D.M. "Considerations for millimeter wave printed antennas," IEEE Trans. Antennas Propag., v.31, n.5, p.740-747, 1983. DOI:

VAINBERG, M.M.; TRENOGIN, A.I. The Theory of Bifurcation of Nonlinear Equation Solutions [in Russian]. Moscow: Nauka, 1969.

ZABREIKO, P.P.; KOSHELEV, A.I.; KRASNOSEL’SKII, M.A.; ET AL. Integral Equations [in Russian]. Moscow: Nauka, 1968.

MINKOVICH, B.M.; YAKOVLEV, V.P. Theory of Antenna Synthesis [in Russian]. Moscow: Sov. Radio, 1969.

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