Symmetry Breaking in UCA-Based Vortex Waves

TL;DR

This paper investigates how symmetry breaking in uniform circular arrays affects the generation of vortex waves and the orthogonality of communication channels, highlighting limitations of traditional phase shift methods.

Contribution

It provides a detailed analysis of symmetry breaking effects in UCAs and their impact on vortex wave generation and channel orthogonality in communication systems.

Findings

Symmetry breaking reduces vortex wave generation accuracy.

Orthogonality of channel modes is compromised by symmetry issues.

Traditional phase shift methods may not always produce ideal vortex waves.

Abstract

In literature, it is often said that a uniform circular array (UCA) composed of a sufficient number of radiating elements is able to generate a vortex wave with arbitrary topological charge. While providing a very simple and intuitive solution without the need for any synthesis method, the excitation of UCAs by means of a progressive phase shift does not always guarantee that vortex waves are correctly generated, since a major role is played by the symmetry and radiation properties of each individual element which constitutes the array. When the UCAs are employed in vortex communication links, these symmetry properties strongly affect the orthogonality of the channel modes and, therefore, the communication efficiency. In this work, the symmetry breaking associated with the radiation of vortex waves by UCAs and its impact on the mode orthogonality are explored in detail.