# Hawking temperature in dispersive media: Analytical and numerical study

## TL;DR

This paper investigates how dispersive effects in analog gravity systems influence the Hawking temperature, combining analytical and numerical methods to understand modifications in the thermal spectrum relevant for experiments.

## Contribution

It provides a detailed analytical and numerical analysis of the impact of dispersion on Hawking temperature in analog gravity systems, extending previous models.

## Key findings

- Dispersive effects significantly alter the Hawking temperature.
- Velocity profile modifications impact the thermal spectrum.
- Results applicable to experimental analog gravity setups.

## Abstract

In the context of analog gravity the Hawking effect can be generalized to domains outside astrophysics. Arguably, the most successful systems for this analogy have been so far the sonic and the optical ones. However, problems arise in the analog systems as their dispersive effects are too large to be ignored, and this in turn modifies the usual thermal spectrum of Hawking radiation. In this work we perform analytical and numerical studies on how the velocity profile modifies the Hawking temperature in dispersive media, including some with direct experimental application.