# Structured light by discrete-phase orbital angular momentum holograms

## TL;DR

This paper introduces a novel method to generate structured orbital angular momentum light using multilevel holograms, enabling advanced 3D control of light fields by leveraging the OAM-angle uncertainty relation.

## Contribution

The authors demonstrate that multilevel angular phase contours can produce structured OAM fields, simplifying the creation of complex light patterns compared to traditional continuous phase methods.

## Key findings

- Experimental validation of structured OAM light generation
- Observation of Poynting vector evolution in 3D light fields
- Exploitation of OAM-angle uncertainty for light structuring

## Abstract

Structured light has been created by a myriad of near- and far-field techniques and has found both classical and quantum applications. In the case of orbital angular momentum (OAM), continuous spiral phase patterns in dynamic or geometric phase are often employed with the phase patterns existing across the entire transverse plane. Here we exploit the uncertainty relation between OAM and angle to create structured OAM fields using multilevel OAM holograms. We show theoretically and experimentally that only a multilevel angular phase contour in the near-field is needed to create structured OAM light in the far-field, exploiting the reciprocal nature of angular momentum and angle. We use this approach to demonstrate exotic 3D structured light control to show the evolution of the Poynting vector in such fields and to highlight the physics underlying this phenomenon.

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Source: https://tomesphere.com/paper/1812.05218