# Analogue gravity by an optical vortex. Resonance enhancement of Hawking radiation

## TL;DR

This paper models analogue rotating black holes using optical vortices in nonlinear media, demonstrating resonance-enhanced Hawking radiation that could be experimentally observed.

## Contribution

It introduces a novel optical vortex setup to simulate Kerr black hole features and shows how resonance amplifies Hawking radiation for detection.

## Key findings

- Identification of event horizons and ergoregions in optical vortex systems
- Resonance conditions significantly boost Hawking radiation signals
- Potential for experimental observation of analogue Hawking radiation

## Abstract

Propagation of coherent light in a Kerr nonlinear medium can be mapped onto a flow of an equivalent fluid. Here we use this mapping to model the conditions in the vicinity of a rotating black hole as a Laguerre-Gauss vortex beam. We describe weak fluctuations of the phase and amplitude of the electric field by wave equations in curved space, with a metric that is similar to the Kerr metric. We find the positions of event horizons and ergoregion boundaries, and the conditions for the onset of superradiance, which are simultaneously the conditions for a resonance in the analogue Hawking radiation. The resonance strongly enhances the otherwise exponentially weak Hawking radiation at certain frequencies, and makes its experimental observation feasible.