Synthesis of Plane-Wave Generator in 3-D Sphere Quiet Zone for Advanced Antenna Measurement by Hybridizing LSM and GA

In this paper, we hybridize the Least Square Method (LSM) and Genetic Algorithm (GA) to efficiently synthesize the linear and planar array Plane Wave Generator (PWG) to create a 3-D Quiet Zone (QZ) with high performance for the antenna pattern measurement in a chamber with limited space. Based on the PWG with an 8-element linear array, the amplitude and phase deviations of 0.89 dB and 14.50° are obtained in a circular QZ with a diameter of
$7\lambda $
, and that with an
$8\times 8$
-element plane array achieves 1.09 dB and 14.89° deviations in a 3-D sphere QZ. The synthesized results using other existing algorithms based on different configurations of PWG are compared and the synthesis errors are discussed. Simulation results show the robustness and high efficiency of the proposed algorithm on 2-D and 3-D PWG synthesis.