# Pulse shape optimization for electron-positron production in rotating fields

## TL;DR

This paper develops an optimization method for shaping electric pulses to maximize electron-positron pair production in strong field QED, using Fourier-based parametrization and metaheuristic algorithms.

## Contribution

It introduces a Fourier-based pulse parametrization combined with differential evolution optimization for efficient maximization of pair production.

## Key findings

- Optimized pulse shapes significantly increase pair production.
- Fourier parametrization reduces the optimization complexity.
- Parallel differential evolution outperforms local multistart methods.

## Abstract

We optimize the pulse shape and polarization of time-dependent electric fields to maximize the production of electron-positron pairs via strong field quantum electrodynamics processes. The pulse is parametrized in Fourier space by a B-spline polynomial basis, which results in a relatively low-dimensional parameter space while still allowing for a large number of electric field modes. The optimization is performed by using a parallel implementation of the differential evolution, one of the most efficient metaheuristic algorithms. The computational performance of the numerical method and the results on pair production are compared with a local multistart optimization algorithm. These techniques allow us to determine the pulse shape and field polarization that maximize the number of produced pairs in computationally accessible regimes.