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Phase space matching between two plasma-accelerator (PA) stages and between aPA and a traditional accelerator component is a critical issue for emittancepreservation of beams accelerated by PAs. The drastic differences of thetransverse focusing strengths as the beam propagates between different stagesand components may lead to a catastrophic emittance growth in the presence ofboth finite energy spread and lack of proper matching. We propose using thelinear focusing forces from nonlinear wakes in longitudinally tailored plasmadensity profiles to provide exact phase space matching to properly transportthe electron beam through two such stages with negligible emittance growth.Theoretical analysis and particle-in-cell simulations show how these structuresmay work in four different scenarios. Good agreement between theory andsimulation is obtained.

Exact phase space matching for staging plasma and traditional accelerator components using longitudinally tailored plasma profiles