Abstract
Transverse betatron oscillations and the corresponding betatron emission are investigated for electrons in a strongly non-linear wake wave excited by a high-power laser pulse in a hollow-channel plasma. The expressions for the oscillation period and critical frequency in the synchrotron regime of betatron emission are derived. A two-stage scheme is considered, in which an electron bunch formed in a plasma possessing a certain set of parameters generates betatron emission in a plasma possessing another set of parameters. The emission spectrum at the second stage is calculated in the absence of bunch acceleration.
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