Modular Design of Hexagonal Phased Arrays Through Diamond Tiles
P. Rocca, N. Anselmi, A. Polo, A. Massa

TL;DR
This paper presents a novel modular design approach for hexagonal phased array antennas using diamond-shaped tiling, optimizing performance and pattern constraints through mathematical theorems and genetic algorithms.
Contribution
It introduces a new diamond tiling technique for hexagonal arrays, combining mathematical optimization and genetic algorithms for improved array performance.
Findings
Effective for low/medium-size arrays
Outperforms alternative tiling architectures
Validated with benchmark problems
Abstract
The modular design of planar phased array antennas with hexagonal apertures is addressed by means of innovative diamond-shaped tiling techniques. Both tiling configuration and subarray coefficients are optimized to fit user-defined power-mask constraints on the radiation pattern. Toward this end, suitable surface-tiling mathematical theorems are customized to the problem at hand to guarantee optimal performance in case of low/medium-size arrays, while the computationally hard tiling of large arrays is yielded thanks to an effective integer-coded GA-based exploration of the arising high-cardinality solution spaces. By considering ideal as well as real array models, a set of representative benchmark problems is dealt with to assess the effectiveness of the proposed architectures and tiling strategies. Moreover, comparisons with alternative tiling architectures are also performed to show…
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