# Influence of optical nonlinearities on plasma waves in graphene

## TL;DR

This paper develops a nonperturbative theory of nonlinear plasma waves in graphene, analyzing how strong electric fields affect plasma resonances and wave propagation in various optical experiments.

## Contribution

It introduces a novel nonperturbative theoretical framework for understanding nonlinear plasma waves in graphene under strong electric fields.

## Key findings

- Strong fields cause red shift and broadening of plasma resonances.
- Fields reduce wavelength and propagation length of plasma waves.
- The theory predicts measurable effects in infrared and near-field optical experiments.

## Abstract

A theory of the nonlinear plasma waves in graphene is developed in the nonperturbative regime. The influence of strong electric fields on the position and linewidth of plasma resonances in the far-infrared transmission experiments, as well as on the wavelength and the propagation length in the scanning near-field optical microscopy experiments is studied. The theory shows that the fields of order of a few to a few tens of kV/cm should lead to a red shift and broadening of plasma resonances in the first type and to a reduction of the wavelength and the propagation length in the second type of experiments.