Energy, linear momentum, and spin and orbital angular momenta of circularly polarized Laguerre-Gaussian wave-packets

TL;DR

This paper derives detailed expressions for the energy, momentum, and angular momentum of circularly polarized Laguerre-Gaussian wave-packets, considering their vector nature and paraxial approximation effects.

Contribution

It provides new analytical formulas for electromagnetic properties of Laguerre-Gaussian beams, including the impact of polarization and paraxial approximation.

Findings

Expressions for energy, momentum, and angular momentum are derived.

The effects of the vector nature of electromagnetic fields are analyzed.

Implications of paraxial approximation on beam properties are examined.

Abstract

We derive expressions for the energy, linear momentum, and angular momentum content of circularly polarized Laguerre-Gaussian wave-packets propagating in free space. The vectorial nature of the electromagnetic field is taken into account, and the various consequences of paraxial approximation, which is typically invoked in theoretical treatments of the Laguerre-Gaussian beams, are examined.