Antenna Synthesis by Levin’s Method using a Novel Optimization Algorithm for Knot Placement

Antenna synthesis refers to determining the antenna current distribution by evaluating the inverse Fourier integral of its radiation pattern. Since this integral is highly oscillatory, Levin’s method can be used for the solution, providing high accuracy. In Levin’s method, the integration domain is divided into equally spaced sub-intervals, and the integrals are solved by transferring them into differential equations. This article uses a new optimization algorithm to determine the location of these interval points (knots) to improve the method’s accuracy. Two different antenna design examples are presented to validate the accuracy and efficiency of the proposed method for antenna synthesis applications.