Vector Properties of Radially Self-Accelerating Beams

TL;DR

This paper develops a comprehensive theory of vector radially self-accelerating beams, analyzing their properties, focusing behavior, and momentum characteristics, with a focus on circular polarization's unique role in maintaining self-acceleration.

Contribution

It introduces a complete theory for vector RSABs, highlighting the importance of circular polarization in preserving self-accelerating properties upon focusing.

Findings

Only circularly polarized RSABs retain self-acceleration after focusing.

The paper calculates linear and angular momentum of paraxial vector RSABs.

Discusses global and local properties of focused RSABs.

Abstract

We present a complete and consistent theory of vector radially self-accelerating beams (RSABs). We use this theory as a model for describing the properties of focussed RSABs, and to show, in particular, that only circular polarised RSABs maintain their self-accelerating character upon focussing. Moreover, we also calculate the linear and angular momentum for paraxial vector RSABs, and discuss both their global and local properties.