Author(s)

Mykhaylo I. Andriychuk, Bohdan M. Podlevskyi

Department of Numerical Methods of Mathematical Physics, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NASU, Lviv, Ukraine.

A nonlinear synthesis problem of antennas according to the prescribed power (squared amplitude) radiation pattern (RP) is considered in the variational statement that yields in the possibility to take into account an additional restriction to the synthesized power RP. The problem of synthesis consists of finding such currents in antenna, which generates the RP with the best approximation to the given one. The respective Euler’s equation is reduced on the basis of used functional. This is nonlinear integral equation of Hammerstein’s type. The effective numerical methods are elaborated and applied for its solving. The computational results verify the effectiveness of approach proposed.

Power RP, Variational Approach, Non-Linear Integral Equation, Successive Approximation Method

Andriychuk, M. and Podlevskyi, B. (2018) The Radiation System Synthesis by the Power Criterion as a Problem of Optimization with Restrictions. Journal of Applied Mathematics and Physics, 6, 2650-2665. doi: 10.4236/jamp.2018.612220.