Phys. Rev. A 37, 1668–1671 (1988)Transient effects in the plasma-wake-field acceleration schemeReceived 13 April 1987; published in the issue dated March 1988 We reformulate the theory of the acceleration of charged particles in the recently proposed plasma-wake-field acceleration scheme. Our treatment makes manifest the transient effects. To illustrate, we consider a point-charge driving beam traversing a semi-infinite plasma. We show that it takes a few plasma wavelengths for transient effects to dissipate and give the wake-field solutions currently discussed in the literature. Thus our treatment provides needed justification for the existing theoretical discussions since they neglect transient effects. © 1988 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.37.1668
DOI:
10.1103/PhysRevA.37.1668
PACS:
52.75.Di, 29.15.-n
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