Linear theory of superradiance in a free-electron laser

S. Y. Cai, J. Cao, A. Bhattacharjee

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


This study is motivated by the analytical solutions of superradiance in a high-gain free-electron laser obtained by Bonifacio, Maroli, and Piovella, using the technique of Laplace transforms [Opt. Commun. 68, 369 (1988)]. An error in these analytical solutions is remedied by a correct treatment of the boundary conditions on the electron beam, and the earlier theory is extended to allow for both electron shot noise and an optical pulse in the initial state. It is shown that, when the optical pulse is shorter than the electron pulse, superradiant behavior can also occur at the leading edge of the optical pulse.

Original languageEnglish (US)
Pages (from-to)4120-4126
Number of pages7
JournalPhysical Review A
Issue number7
StatePublished - 1990
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


Dive into the research topics of 'Linear theory of superradiance in a free-electron laser'. Together they form a unique fingerprint.

Cite this