Amplification of OAM Radiation by Astrophysical Masers

TL;DR

This paper develops a theoretical framework for astrophysical masers that includes the effects of non-uniform magnetic fields and the generation of orbital angular momentum in radiation, revealing potential for high OAM production.

Contribution

It extends maser propagation theory to include orbital angular momentum and non-uniform magnetic fields, providing analytical and numerical insights into OAM generation.

Findings

Orbital angular momentum can be generated from standard maser emission.

Radiation with high OAM content can be produced in ideal magnetic field configurations.

Coupling between Stokes parameters and OAM components is demonstrated.

Abstract

We extend the theory of astrophysical maser propagation through a medium with a Zeeman-split molecular response to the case of a non-uniform magnetic field, and allow a component of the electric field of the radiation in the direction of propagation: a characteristic of radiation with orbital angular momentum. A classical reduction of the governing equations leads to a set of nine differential equations for the evolution of intensity-like parameters for each Fourier component of the radiation. Four of these parameters correspond to the standard Stokes parameters, whilst the other five represent the $z$-component of the electric field, and its coupling to the conventional components in the $x-y$-plane. A restricted analytical solution of the governing equations demonstrates a non-trivial coupling of the Stokes parameters to those representing orbital angular momentum: the $z$-component of the electric field can grow from a background in which only Stokes-$I$ is non-zero. A numerical solution of the governing equations reveals radiation patterns with a radial and angular structure for the case of an ideal quadrupole magnetic field perpendicular to the propagation direction. In this ideal case generation of radiation orbital angular momentum, like polarization, can approach 100 per cent.