A Wavelet Based Approach to Space-Charge Calculations for Charged Particle Beams

Numerical prediction of the performance of charged particle accelerators is essential for the design and understanding of these machines. Methods to calculate the self-fields of accelerated particles, the so-called space-charge forces, become increasingly important as the demand for high-quality bunches increases. For mesh-based space-charge solvers the knowledge of discontinuities in the particle distribution is important to keep the numerical error small. In this paper we show that the wavelet decomposition technique applied to the space-charge density can detect such discontinuities.