Estimation of emittance growth with simple orbit correction in long linacs

Estimating emittance growth is important for evaluation of performance of linear accelerators, especially where stable and low emittance beam is required, such as linear colliders. Usually, estimation of emittance growth is performed using tracking simulations, including the Monte Carlo method, which tend to take a long time. We have developed a much faster and simpler method of quantitative estimation. Formulas of orbit and emittance due to random misalignment without corrections were reported in our previous paper [K. Kubo,Phys. Rev. ST Accel. Beams 14, 014401 (2011)]. Here, formulas of emittance growth after a simple orbit correction are reported. This method is valid for very long linacs with many components, where statistical treatment is justified. It is shown that the results from the method agree well with tracking simulations for the International Linear Collider main linac.