Abstract
A new unconventional FEL scheme (named PFEL), which has injected rarefied ionized background plasma in the undulator, is studied theoretically. It is shown that there exists a critical density np; for the background plasma. When the background plasma density np is higher than np c, the FEL can no longer be excited. When np ≲ np c, the laser gain for Raman FEL may be increased noticeably.
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