Application of Electromagnetism-Like Algorithm to Phase-Only Syntheses of Antenna Arrays

Abstract

Abstract-In this paper, a novel stochastic approach, i.e., the electromagnetism-like (EM-like) algorithm, is applied to phase-only syntheses of antenna arrays. The goal is to minimize the pattern sidelobe under null-steering constraints by phase-only adjusting. The mechanism of EM-like algorithm results from the Coulomb's Law of Electromagnetics. It does not require gradient calculations, and can automatically converge at a good solution through the virtual charge of each particle. Simulation results show that the EM-like algorithm can well treat the phase-only optimization of antenna arrays. Although the null-steering constraints will affect the optimization in sidelobe reduction, it can be easily included in the EM-like based optimization scheme. The EM-like algorithm can be applied not only to problems of antenna arrays, but also to many other nonlinear optimization problems in electromagnetic waves.

Application of Taguchi's Optimization Method and Self-Adaptive Differential Evolution to the Synthesis of Linear Antenna Arrays

“…The maximum SLL for the uniform array is −13.19 dB while the maximum SLL for the optimized array (obtained using both algorithms) is −16.24 dB. This shows that the maximum side lobe reduction is improved by 3 dB which is slightly better than that in [30] by about 0.1 dB. …”

“…Here, for comparison purposes, we consider several examples which are similar to those presented in [30]. Figure 12 shows the optimum array patterns for the phaseoptimized 20 elements LA, compared with uniform array.…”

“…The goal of the optimization is to adjust the phases of the array elements to reduce the maximum side lobe level and to impose nulls at specific angles. The fitness function is given as [30]:…”

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