Synthesis of Shaped-Beam Radiation Patterns With Efficient Optimization Algorithm

Abstract

In this paper, the efficient optimization algorithm for synthesizing shaped beams is extended to the synthesis of radiation patterns of planar current sheets that have different beams and polarizations on the two sides of the source plane. The radiation pattern is described with a real-valued function, which is expressed with the superposition of entire functions and its extrema can be quickly located by searching on a fixed uniform grid in the k-space. By flexibly tuning the positions of the extrema, the ripples in the main beam and the levels of the sidelobes can be effectively controlled. As the number of the extrema in the radiation pattern is approximately equal to the effective number of degrees of freedom (NDF) of the far field, the optimization algorithm can converge fast. Numerical examples show that the optimization results can be improved by refining the uniform grids in the k-space.