Finite Orbital Angular momentum Bessel beams propagating along light-cone coordinates

TL;DR

This paper introduces new Bessel electromagnetic beam solutions propagating along light cones, focusing on Airy function structures and conditions for finite orbital angular momentum density.

Contribution

It presents a novel class of solutions extending plane waves, with detailed analysis of their structure and angular momentum properties.

Findings

Identified solutions involving Airy functions in light-cone variables.

Derived conditions for these solutions to carry finite orbital angular momentum.

Extended the understanding of beam structures beyond traditional plane waves.

Abstract

New solutions for Bessel electromagnetic beams, propagating along the light cones, are investigated. Of the variety of structures possible in the light cone variables, the one involving a product of Airy functions is discussed in detail. This class of solutions, representing an asymmetry on the light-cone coordinates dependence, is a non-trivial extension to the usual plane wave solutions. We also explore the conditions under which these solutions will carry finite orbital angular momentum density.