# Proposal for Anderson localization in transverse spatial degrees of freedom of photons

## TL;DR

This paper proposes an experimental setup to observe Anderson localization of light in the transverse spatial degrees of freedom of photons using a spatial light modulator to create a weak random potential, with numerical simulations confirming feasibility.

## Contribution

It introduces a novel experimental configuration that separates dispersion and potential effects, enabling new studies of Anderson localization in photon transverse profiles.

## Key findings

- Numerical simulations confirm the feasibility of the proposed setup.
- The setup allows observation of Anderson localization in transverse photon profiles.
- The method separates dispersion and potential effects in the evolution of light.

## Abstract

We propose an experimental setup for studying the Anderson localization of light in the continuous transverse spatial degrees of freedom of the photons. This physical phenomenon can be observed in the transverse profile of a paraxial and quasi-monochromatic beam of light using a spatial light modulator. The light modulator acts in the laser beam as a weak random potential. Here, differently from the standard models studied in the literature, our setup splits the dispersion and potential terms along the beam evolution. By numerical simulations we confirm the feasibility of our experimental proposal.