Advanced quasistatic approximation

TL;DR

This paper introduces an extended quasistatic approximation method for plasma wakefield simulations that overcomes previous limitations, accurately modeling complex plasma behaviors while maintaining computational efficiency.

Contribution

The authors develop a new extended QSA that accounts for inter-layer information exchange, improving accuracy in nonlinear and dynamic plasma conditions.

Findings

Enhanced simulation accuracy in nonlinear regimes

Retains computational speed and efficiency

Validated against analytical solutions and existing codes

Abstract

The quasistatic approximation (QSA) is an efficient method of simulating laser- and beam-driven plasma wakefield acceleration, but it becomes imprecise if some plasma particles make long longitudinal excursions in a strongly nonlinear wave, or if waves with non-zero group velocity are present in the plasma, or the plasma density gradients are sharp, or the beam shape changes rapidly. We present an extension to QSA that is free from its limitations and retains its main advantages of speed and reduced dimensionality. The new approach takes into account the exchange of information between adjacent plasma layers. We introduce the physical model, describe its numerical implementation, and compare the simulation results with available analytical solutions and other codes.