Isaac Scientific Publishing

Journal of Advances in Applied Mathematics

Antenna Synthesis by the Modulus of the Diagram

Download PDF (461.4 KB) PP. 1 - 10 Pub. Date: January 1, 2016

DOI: 10.22606/jaam.2016.11001


  • Alexander G. Ramm
    Mathematics Department, Kansas State University, Manhattan, Kansas, United States
  • Mykhaylo I. Andriychuk*
    Institute for Applied Problems of Mechanics and Mathematics, NASU, Lviv, Ukraine


A nonlinear antenna synthesis problem is considered. Given a function that approximates the modulus of the diagram, an explicit formula for the corresponding current is found. This current generates the diagram as close to the given function as one wants. The numerical results illustrating the developed method are presented. The results show that in order to achieve a desired accuracy of approximation of the given function by the modulus of the diagram one may use currents that oscillates much.


antenna synthesis, nonlinear problem, modulus of the diagram, closed form solution.


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