Pareto-Optimal Domino-Tiling of Orthogonal Polygon Phased Arrays

TL;DR

This paper introduces a new method for designing modular orthogonal polygon-shaped phased arrays using domino tiling, optimizing multiple conflicting requirements with multi-objective techniques and validated through simulations.

Contribution

It presents an analytic check for domino-tileability and develops multi-objective optimization methods for array synthesis, addressing complex design constraints.

Findings

Effective domino-tileability check procedure

Multi-objective optimization techniques for array synthesis

Validated approach through numerical examples and full-wave simulations

Abstract

The modular design of planar phased arrays arranged on orthogonal polygon-shaped apertures is addressed and a new method is proposed to synthesize domino-tiled arrays fitting multiple, generally conflicting, requirements. Starting from an analytic procedure to check the domino-tileability of the aperture, two multi-objective optimization techniques are derived to efficiently and effectively deal with small and medium/large arrays depending on the values of the bounds for the cardinality of the solution space of the admissible clustered solutions. A set of representative numerical examples is reported to assess the effectiveness of the proposed synthesis approach also through full-wave simulations when considering non-ideal models for the radiating elements of the array.