Beam-driven plasma-wakefield acceleration

Beam-driven plasma-wakefield acceleration (PWFA) has emerged as a transformative technology with the potential to revolutionize the field of particle acceleration, especially toward compact accelerators for high-energy and high-power applications. Charged particle beams are used to excite density waves in plasma with accelerating fields reaching up to 100 GV/m, thousands of times stronger than the fields provided by radio-frequency cavities. Plasma-wakefield-accelerator research has matured over the span of four decades from basic concepts and proof-of-principle experiments to a rich and rapidly progressing sub-field with dedicated experimental facilities and state-of-the-art simulation codes. We review the physics, including theory of linear and nonlinear plasma wakefields as well as beam dynamics of both the wakefield driver and trailing bunches accelerating in the plasma wake, and address challenges associated with energy efficiency and preservation of beam quality. Advanced topics such as positron acceleration, self-modulation, internal injection, long-term plasma evolution and multistage acceleration are discussed. Simulation codes and major experiments are surveyed, spanning the use of electron, positron and proton bunches as wakefield drivers. Finally, we look ahead to future particle colliders and light sources based on plasma technology.