Analytical model for electromagnetic cascades in rotating electric field

TL;DR

This paper develops an analytical and numerical framework to understand electromagnetic cascades in rotating electric fields, deriving scaling laws, particle spectra, and verifying results with simulations.

Contribution

It introduces a new analytical model for electromagnetic cascades in rotating electric fields, including scaling laws and spectral analysis, validated by numerical simulations.

Findings

Derived scaling laws for cascade parameters

Calculated spectra of high-energy particles

Validated analytical results with numerical simulations

Abstract

Electromagnetic cascades attract a lot of attention as an important QED effect that will reveal itself in various electromagnetic field configurations at ultrahigh intensities. We study cascade dynamics in rotating electric field analytically and numerically. The kinetic equations for the electron-positron plasma and gamma-quanta are formulated. The scaling laws are derived and analyzed. For the cascades arising far above the threshold the dependence of the cascade parameters on the field frequency is derived. The spectra of high-energy cascade particles are calculated. The analytical results are verified by numerical simulations.