A numerical scheme for solving the nonlinear Heisenberg-Euler equation in up to 3 spatial dimensions plus time is derived and its properties are discussed. This "quantum vacuum simulation algorithm" is tested against a set of already known analytical results and its power to go beyond analytically solvable scenarios is shown.
We study vacuum birefringence and x-ray photon scattering in the head-on collision of x-ray free electron and high-intensity laser pulses. Resorting to analytical approximations for the numbers of attainable signal photons, we analyze the behavior of the phenomenon under the variation of various experimental key-parameters and provide new analytical scalings. Our optimized approximations...
The nonlinear optical properties of colliding high field laser pulses in HE weak field approximation is investigated numerically. The numerical approach is detailed.