A computational model for generating multihyperuniform distributions for realistic antenna array and metasurface designs

Abstract

This paper is aimed at studying the concept of multihyperuniformity and applying it to the design of shared-aperture antenna arrays and multi-bit coding metasurfaces. By formulating the theoretical foundation and essential geometric aspects related to this distribution, we create a computational model capable of generating both single hyperuniform and multihyperuniform distributions. Moreover, we put forward specific convergence acceleration techniques that effectively minimize computational time, particularly when dealing with a substantial number of elements. Considering the shape, size, and corresponding geometric constraints of the elements, we generate patterns suitable for practical designs of antenna arrays, as well as metasurfaces. We present an example of a multihyperuniform shared-aperture antenna array as illustration. Specifically, a penta-band circular patch antenna array operating in the C-band with low sidelobes and high realized gain over five different frequency bands is demonstrated. The computational model is also implemented for the design of a multi-bit coding metasurface with scattering reduction attributes.