# Volkov States and Non-linear Compton Scattering in Short and Intense Laser Pulses

## TL;DR

This paper reviews the theory of high-intensity QED interactions involving ultra-relativistic electrons and short laser pulses, focusing on Volkov states and non-linear Compton scattering effects caused by short pulse durations.

## Contribution

It provides a theoretical overview of short pulse effects in high-intensity QED, emphasizing non-linear spectral broadening and its compensation in non-linear Compton scattering.

## Key findings

- Analysis of non-linear spectral broadening in Compton scattering
- Discussion of short pulse duration effects on QED processes
- Overview of Volkov states in intense laser fields

## Abstract

The collision of ultra-relativistic electron beams with intense short laser pulses makes possible to study QED in the high-intensity regime. Present day high-intensity lasers mostly operate with short pulse durations of several tens of femtoseconds, i.e. only a few optical cycles. A profound theoretical understanding of short pulse effects is important not only for studying fundamental aspects of high-intensity laser matter interaction, but also for applications as novel X- and gamma-ray radiation sources. In this article we give a brief overview of the theory of high-intensity QED with focus on effects due to the short pulse duration. The non-linear spectral broadening in non-linear Compton scattering due to the short pulse duration and its compensation is discussed.