Electromagnetic Vortex Topologies from Sparse Circular Phased Arrays
Hao Wang, Kaitlyn Szekerczes, and Andrei Afanasev
TL;DR
This paper presents a theoretical method for generating electromagnetic vortex states using sparse circular phased arrays, analyzing topologies and constraints on element number for desired vortex charges.
Contribution
It introduces a novel theoretical framework for creating vortex topologies from discrete array elements considering element limitations.
Findings
Derived a constraint on minimum array elements for specific vortex charges
Analyzed vortex topologies using Jacobi-Anger expansion
Provided guidelines for designing sparse phased arrays for vortex generation
Abstract
Structured vortex waves have numerous applications in optics, plasmonics, radio-wave technologies and acoustics. We present a theoretical study of a method for generating vortex states based on coherent superposition of waves from discrete elements of planar phased arrays, given limitations on an element number. Using Jacobi-Anger expansion, we analyze emerging vortex topologies and derive a constraint for the least number of elements needed to generate a vortex with a given leading-order topological charge.
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