Ginzburg-landau model for mode competition and single-mode operation of a free-electron laser

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Mode competition of a free-electron laser is modeled by the Ginzburg-Landau equation. The stability of a single-mode solution is analyzed, and connections are established with known instabilities of the Ginzburg-Landau equation. It is found that the principal mode with the largest gain is always stable and hence there is no Benjamin-Feir instability. However, the Eckhaus (or phase) instability generally occurs if the frequency of a mode lies outside of a designated range centered on the principal mode. Under certain conditions, the Eckhaus instability can cause a sudden chaotization and spikiness in the radiation field. Analytical criteria and scaling for single-mode operation are given and tested by numerical simulations. A theoretical controversy on single-mode operation of the free-electron laser at the University of California at Santa Barbara is resolved.

Original languageEnglish (US)
Pages (from-to)3826-3832
Number of pages7
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number3
StatePublished - 1998
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


Dive into the research topics of 'Ginzburg-landau model for mode competition and single-mode operation of a free-electron laser'. Together they form a unique fingerprint.

Cite this